JHEP02(2019)129 Ν M Springer October 29, 2018 February 5, 2019 January 29, 2019 February 20, 2019 : : : : 2 Group in LRSM

JHEP02(2019)129 ν M Springer October 29, 2018 February 5, 2019 January 29, 2019 February 20, 2019 : : : : 2 group in LRSM. Z × 8 Revised 2 Received Z Accepted Published Z × 8 Z Published for SISSA by https://doi.org/10.1007/JHEP02(2019)129 [email protected] , . 3 1810.04889 The Authors. c Neutrino Physics, Discrete Symmetries, Spontaneous Symmetry Breaking

We have done a phenomenological study on the neutrino mass matrix , [email protected] Napaam, Tezpur, Assam-784028, India E-mail: Department of Physics, Tezpur University, Open Access Article funded by SCOAP ArXiv ePrint: neutrino mixing. The massbe of of the the extra order gauge of bosons TeV scale and which scalars is hasKeywords: accessible been at considered the to colliders. implications of these texture zero massdouble matrices in beta low energy decay phenomenon like (NDBD)NDBD, neutrinoless and we have lepton considered flavour onlydiagrams violation the containing (LFV) dominant purely new in RH physicsignoring current LRSM contribution the and scenario. coming contributions another from coming from For the from the the charged left-right Higgs gauge scalar boson while mixing and heavy light type I and typefollowing II a seesaw trimaximal naturally mixing occurs.zero (TM) structures pattern. The has type The been I realized symmetryWe using SS realizations have the mass of discrete studied term these cyclic six is texture abelian and considered of B4 to favoured the by be popular neutrino oscillation texture data zero in classes our named analysis. as We basically A1, focused A2, on the B1, B2, B3 Abstract: favoring two zero texture in the framework of left-right symmetric model (LRSM) where Happy Borgohain and Mrinal Kumar Das Phenomenology of two textureleft-right zero symmetric neutrino model mass in with JHEP02(2019)129 3 > 3 n different textures. A texture of )! n − 6! !(6 n = – 1 – 5 n 6 C 6 11 ] in the mass matrix and to reduce the number of free 7 – , it has six independent complex entries. If n of them are 3 ]. Specifically two texture zero mass matrices are consid- ν 16 M – 8 27 4 are not accurately found yet. Nevertheless several other questions 10 β ] cannot be overestimated. It is utmost important to understand the ], but the absolute neutrino mass and the additional CP phase (for Ma- 2 and 1 1 [ α δ 28 ranges of neutrino parameters, viz., the mixing angles, mass squared differences, the symmetric model 5.1 Collider signatures 2.1 Particle contents 2.2 Two zero texture and TM mixing σ is not compatible with current experimentalapproaches data has and been neutrino established mixing as angles.and a mixing Texture feasible zero data framework in for quarknumber explaining as the of well fermion as past masses lepton works sectorered like and to [ has be been more studied interesting in as details they in can a reduce large maximum number of free parameters. Two underlying symmetry inorder tomixing. understand the Symmetries origin can ofthereby neutrino relate making the mass two model and or more theplay more predictive. is leptonic free One to of impose parameters the textureparameters. or possible zeros For role can a [ flavour symmetric make symmetryconsidered them can to be vanish, vanishing, we arrive at Dirac CP phase jorana particles) are yet not perceived amongstthe which neutrino notable mass and is the understandingin lepton the particle flavour origin physics structures and [ of dynamics the of fermions. The role of symmetry With the landmark discoveryneutrinos are of massive and neutrino they oscillationinteresting mix consequences during and like propagation necessity corresponding have of brought realization goingGlobal into beyond limelight analysis that the several of succesful neutrino standard oscillation3 model data (SM). has quite precisely determined the best fit and 1 Introduction 5 Numerical analysis and results 6 Conclusion 3 Symmetry realizations in LRSM 4 Neutrinoless double beta decay and lepton flavour violation in left-right Contents 1 Introduction 2 Minimal left-right symmetric model and two zero texture neutrino mass JHEP02(2019)129 with ee m ]). Besides, the 29 ], which demands 20 – 18 ] is one in which non zero reactor 28 – has been measured to be non zero by 21 13 θ ] directly measures and provides bounds on the ] structure as proposed by Harison, Perkins and – 2 – are of the order of 100 meV. The next generation 32 i 17 vanishes in TBM because of the bimaximal char- – ee ] have found seven acceptable textures of neutrino . However 13 30 4 m 3 θ h ν as well as preserves the solar mixing angle prediction. It will be 13 θ Inspite of enormous success, there are several unperceived problems in the neutrino sec- Neutrino mass and mixing matrix have different forms based upon some flavour sym- In the simplest case one can presume the charged lepton mass matrix to be diagonal and experiments targets to increase theNDBD sensitivity experiments in can the shed 10 lights meVrare on mass several decay range. issues process in Thus, with the thebeyond future the neutrino the sector. current standard experiments Observing model this would (SM) signify other new than the physics standard contributions light neutrino contribution. observation of NDBD would alsoexplaining throw the light matter, on anti-matter the asymmetry of absoluteKamLAND-Zen, the scale GERDA, universe. of EXO-200 The neutrino [ NDBD mass experimentsdecay and like half in life which cancertain be uncertainity which converted arises to due therent to best effective the limits neutrino on theoretical mass the uncertainity parameter, effective in mass the NME. The cur- tor which includes the absolute scalethe of intrinsic neutrino nature mass, of the neutrinos, mass hierarchy, whetherwhich the Dirac undoubtedly CP or violation, establish Majorana. the Majorana Oneby nature of two the of units) important neutrinos is process neutrinoless (violation double of beta lepton decay number (NDBD) (for a review see [ ments similar to the TBMit type. allows for However, a it non relaxesdiscussed zero in some details of in the the TBMis section assumptions, one III. of since Besides currently the studiedcan zeros approaches also for in be precisely the examined explaining neutrino using neutrino mass masses the matrix and TM which mixing mixing. for a correction to thetype. TBM Henceforth, form owing which to maynew the be models current a has scenerio been correction theorized of orneutrino and neutrino some studied mass perturbation oscillation by models, parameters to the Trimaximal scientific this several mixing communities. mixing angle (TM) Amongst several can [ be realized. The mixing matrix consists of identical second column ele- Scott. The resulting massboth matrix 2-3 in symmetric the and basis magic.identical. of By a The magic, diagonal reactor it charged means mixing leptonacter the angle mass of row matrix the sums is third and column massexperiments sums Eigen like are state T2K, all Daya Bay, RENO and DOUBLE CHOOZ [ marginally allowed. Glashowmass et matrix al. (out of [ total fifteen)for with a two independent diagonal vanishing charged entries lepton in mass the flavour matrix basis to be consistentmetries. with current Amongst experimental them, data. the mostdata popular is one the which Tribimaximal mixing is (TBM) consistent [ with neutrino oscillation in the neutrino mass matrix which can be checked againstthen the consider available the experimental possible data. texture zerosing in the the basis symmetric in Majorana which massof charged matrix. lepton two Consider- mass zero matrix texture is neutrino diagonal there mass are matrix different out categories of which some are ruled out and some are independent zeroes in the matrix can lead to four relations among the nine free parameters JHEP02(2019)129 ]. × × 2) R 50 L and Z – R × 8 47 ignoring , ]. Herein SU(2) Z SU(2) R 40 46 × × – L c 36 Z2 group symmetry × favouring two zero texture in the ν M ] where the gauge group is SU(2) 35 – 3 – – 33 ], the TM mixing can satisfy the current neutrino 28 , ]. The mass of the extra gauge bosons and scalars has 27 51 by the exchange of heavy right handed neutrino, N ] and their compatibility with LHC experiments [ R 45 – ], a simple extension of the standard model gauge group where 42 35 , – 42 33 – [ 39 L − B U(1) . It has become a topic of interest since long back owing to its indomitable impor- × L − R B The paper has been organized as follows, in the next section we briefly review the As cited by several authors [ There are several BSM frameworks, amongst which one of the most fascinating and mass As has been mentionedSU(2) before, LRSM isparity is based conserved at on a the verytry high then gauge scale. ensures group violation The SU(3) of spontaneous breaking parity of as the observed left at right low symme- energy scales. The usual type I and in section IV we discussthe NDBD numerical and analysis LFV and inconclusion results the in with framework section of the VI. LRSM collider which signatures is in followed by section V.2 We give the Minimal left-right symmetric model and two zero texture neutrino been considered to be of the order of TeVLRSM, accessible its at particle the colliders. contentspresent the along symmetry with realizations of texture thesewith classes zero possible by particle and using contents a TM in cyclic LRSM mixing. Z8 to obtain In the section desired texture III zero we matrices. Then new physics contribution coming from theby diagrams containing the purely heavy RH current gauge mediated another boson, from W the chargedthe Higgs contributions scalars coming mediated from by themixing the left-right as heavy gauge in gauge boson our boson mixing previous W and work heavy [ light neutrino group in LRSM. In orderhave to added obtain two the more desiredfor LH two the zero and textures popular RH of 6 scalarfocused the in texture triplets mass the matrices, each. zero implications we classes oflike In NDBD these being our and texture named LFV analysis, zero in as mass we LRSM matrices A1-A2 scenerio. have in studied For and low NDBD, energy B1-B4. we have phenomenon considered We only the basically dominant experimental data when combined withphenomenological two study zero on textures. the neutrino Inframework mass this of matrix context, LRSM we where have type doneterm I a and is type considered II to seesawthese naturally be texture occurs. zero following The structures a type has I TM been SS realized mixing mass using pattern. the discrete The cyclic symmetry abelian realizations ( of LRSM can be written asA a brief combination review of of bothconcerned, the the LRSM type can LRSM give I has rise and been tofrom type several LH, presented II new RH, in physics seesaw (non mixed, mass the standard)NDBD terms. scalar next contributions in triplet coming section. LRSM etc. [ As Several far analysis as has NDBD been is done already involving modest frameworks in which neutrinothe mass left and right other symmetric model unsolved (LRSM) queriesU(1) [ can be addressed is tance and has been studied inthe details type by I several groups and in type different II contexts [ seesaw arises naturally rather than by hand. The neutrino mass in JHEP02(2019)129 0 2 × γ k 2), 2 R h.c, , = (2.7) (2.3) (2.4) (2.5) (2.6) (2.1) (2.2) 1 iγ . + , i ) leads R 3 0 2 = v , φ R,j SU(2) h 1) respec- 2.3 C (1 Ψ × L − R , L 2 and ∆ . , 2 , the light neu- T 1 1 R , k D , . h R M Ciσ = 1 f   T − i . R 0 1 triplets, ∆ . Equation ( R v + R,i ) and for right handed φ f 2 R 0 2 h D Ψ f D √ ++ √ L,R L,R , 1) and (1 L,R h δ M δ L = − , = v R R,ij , − v f 2 L 1 and Z 2 f = k , + RR + L,R L 2 i R √ 2 # , 0 0 L,R L √ l L,R M δ δ l L,j ,M , + ν δ h are the Dirac matrices. Considering L Ψ # L , " f   L µ f R L symmetry is broken at a scale . γ D L = v . The Higgs sector in LRSM consists of ∆ v = RR 2 v 2 R L 2 R M 2 v = γk M − √ 0 L,R and √ B i L,R 0) and the SU(2) T Ciσ = 0 Ψ R , 2 = ∆ . The neutral component of the Higgs fields LL = D T , δ τ 2 , L h ∗ , – 4 – v T M em M U(1) LL 2 L,i φ 2 , 2 D L,R " Ψ = × τ f φ # (1 ,M , i M 0 0 R = ) U(1) 1 1 φ = L d u L,ij h e φ ν − f e 2 φ 3) and leptons with (1 ∆ " i h k / φ M + h RR 1 −−→ = 3 represents the three generations of fermions. ≡ SU(2) , , + , M 2 Y # R,j 2 II h , × D , 1 ν 0 L,R 0 2 1 Ψ + 1 L k , e φ M Q φ φ ( M being the Dirac neutrino mass matrix, left handed and right U(1) = 1 2 0 1 + − 2 L,i 1 + √ φ × φ and Z bosons, Dirac masses for the quarks and leptons respectively. I Ψ RR SU(2) i, j ν LL " L ij L = M f h × M M = plays a significant role in the SS relation which is the characteristics of D 3) and (3 c + / ),W φ = = L M 1 v R SU(2) and ν ν , ν R,j , 1 M M i L , Ψ 2 R LL φ , 2).The successive spontaneous symmetry breaking occurs as, SU(2) ∆ h M , −−−→ L,i 3 , , Ψ L 6 neutrino mass matrix as, D 1 ij − , B h × where M The Yukawa Lagrangian in the lepton sector is given by, where,the indices (1 = R trino mass, generated within a type I+II seesaw can be written as, handed Majorana mass matrix respectively. Assuming is the charge conjugation operator, discrete parity symmetry, the Majoranato 6 Yukawa couplings the LRSM and can be written as, L U(1) obtains a vacuum expectation valuethereby (vev), providing masses forneutrino the field ( extra gaugeThe bosons vev (W of ∆ A bi-doublet with quantum∆ number which are the quarks and leptonsnumbers under (3 LRSM where the quarks aretively assigned under with SU(3) quantum the following multiplets, which acquires a Majorana mass when the2.1 SU(2) Particle contents II seesaw are a necessary part of LRSM. The RH neutrinos are a necessary part of LRSM JHEP02(2019)129 – 10 (2.8) (2.9) , (2.10) (2.11) 8 – 6 which has been in LRSM. Thus mixing) which is ν level. We are only 2 RR σ M . T ]. The corresponding mass D 2 | 53 as, 2 M k 1 | γ . − 2 + 2 2 k RR | 2 ) corresponds to type II seesaw and 3 gk 1 β M k 2 | 2.7 = D based upon whether the second or the k + ) q 2 M 2 3 W 1 ρ i.e., 15 texture zeros of M symmetric mass matrix or a different form k + M 2 2 , − k = τ β 2 , C 1 RR 6 ρ − – 5 – W or TM + R e h) M v 2 2 µ (2 1 M 2 k γ 1 2k ] and subsequently by several other groups [ k symmetry is broken but the magic symmetry is kept 1 = √ W 5 R h + k β , τ v 1 L 4 M symmetry to be an exact symmetry of the neutrino mass v = (k − τ . Going through literature, we have seen that another form γ µ γ = − 13 θ µ D = h ν being the Higgs potential parameters. The VEV for left handed M ρ , β ]. In TM, excluded 28 13 , θ 27 ) can be written as, 2.7 can be then be written as, ]. Trimaximal mixing (TM) in two texture zero has been extensively studied ], authors introduced a dimensionless parameter L 52 v 55 , Both type I and type II seesaw terms can be written in terms of with the terms In [ Where the first and second terms in equation ( which was first considered in [ 54 , ν neutrino mass matrix. There arefurther a classified total into of 6 subD1, categories D2; and E1, can E2, beare E3; named marginally F1, allowed as- and F2, A1, now A2; F3. hasleft been B1, with Out experimentally B2, 7 ruled of B3, allowed out the B4; cases at above, C1; 3 of E1-E3; 2 F1-F3 zero were textures, ruled viz., out, A1-A2; D1,D2 B1-B4 and C1, we are concerned in literature [ intact. It has beenfirst column again of named the as TBMallowed mixing TM texture matrix zeros remains in intact the respectively.the magic We type have neutrino studied I mass these SS matrixlike mass (satisfying NDBD TM term and in LFV. our Two case zero and textures studied ensures its two implications independent for vanishing low entries energy in the processes certain constraints in it. Addinganticipating. zeroes Certain in types certain of elementsconsistent of one the with zero matrix and neutrino can two data. make zeroM it textures more We in here neutrino study mass14 two matrix zero are texture in neutrino mass matrix Non vanishing matrix which opts forwhich a gives perturbation rise in to nonof zero symmetry known as magic symmetrymatrix can serve known the as purpose magic [ symmetric mass matrix can be made more predictive by imposing 2.2 Two zero texture and TM mixing equation ( triplet type I seesaw respectively. Here, JHEP02(2019)129 (2.15) (2.12) (2.13) (2.14) mixing 2     0 0 X 0 XX XXX     ,      4 = 2 2 cosθ cosθ √ √ iφ iφ ,B     − −     e e s s sinθ 2 3 X X − + − + r r 6 6 q 0 = 0 = 0 = 0 = 0 = 0 = 0 √ √ sinθ sinθ + − 0 0 ττ ττ eτ eµ µµ µµ X XXX − −     s q 3 3 3 ,M ,M ,M ,M ,M ,M 1 1 1 √ √ √ − r 3 = = 0 = 0 = 0 = 0 = 0 = 0 + 2 2 sinθ sinθ ee ee – 6 – eµ eτ eµ µµ √ √ iφ iφ ,B ] has explained two zero texture which has been M M M − − M M M r p q r p p q r e e         Constraint equations cosθ mixing.     55 2 3 , 0 0 + − X 2 = 6 6 q 0 54 1 2 3 4 1 2 XX XX X X √ √ , cosθ cosθ A A B B B B 0 0 0 0 14 − − X XXX Class magic –              M 10 = , 8 2 2 = 2 = – 6 TM ,A ,B U         0 X X being the free parameters. It diagonalizes the magic neutrino mass matrix, 0 φ XX XX 0 0 0 0 XXX XX X and         θ The neutrino mass matrix is said to be invariant under a magic symmetry and the 1 = 1 = A B The different allowed classesequations are of as two shown zero below: texture along with their respective constraint where which can be parameterized as, matrix given by, corresponding mixing symmetry is known as trimaximal mixing (TM) with the TM with six of the above classes which are of the form, neutrino mass matrix favouring TM 3 Symmetry realizations inSeveral LRSM earlier works [ explored beyond standard model to address neutrino masses and mixing. In this work, we Using these constraint equations, we can arrive at the different classes of two zero textured JHEP02(2019)129 , ) . 2 1 Rτ . Z Rτ L (3.1) (3.2) (3.3) (3.4) (3.5) ˜ L φ Lτ × 00 2 L 8 Lτ 1) R 0 Z 1) 1) Rµ Z L L − , ∆ , 6 Lµ L × 2 ∆ ττ 0 ˜ 6     ω, 2 ω 8 L ( Y R 0 ω ( while keeping 0 × Z ( L + Ciσ ∆ respectively to 2     T Ciσ 0 0 ∆ × RR 00 Rτ 2 T × R Rτ L 1) under the cyclic 0 0 0 M × Ciσ Lτ φ L ∆ 0 00 × × ×     T Ciσ L , R R 0 R Lτ T and 0 0 0 ' × × × Rττ R ∆ Rµ L ∆ ∆ Lττ Y Lµ L D         ττ Y L + 1 3 Y Higgs(RH) M = + ω Rµµ − + I Lµµ Y Rµ and ∆ , 1 1 3 Lµ Y 2 Rµ L 1 00 + 1) ω L − Z 00 ,M 1) 1) L + L 00 , , − ˜ R 5 5 φ     2 7 × L Re , 1 ∆ ω ω Le ∆ 2 ω ω , 8 L Lµ ∆ 2 0 ( ( L ω     2 Z R 1 1 L L ( L ∆ − µµ ˜ ∆ 2 Ciσ = 2 2 Ciσ Y 1 1 1 3 T 1 1 1 T ω + −     Rτ Ciσ 0 00 transforms as singlets (1 Lτ 1 3 Ciσ     L T L L Rµ L L ˜ T ω − φ – 7 – ∆ L = ∆ ∆ Rτ 1 1 φ 3 Lτ Rτµ 1 L Lτµ ω L − Y LL Higgs(LH) Lµ Y and 5 5 L + Rτe 1 φ + Lτe ω ω ,M . Particle assignments for A1. Y 2 Y µµ 1) 1)     Rτ     Z Y Lτ 1) + + − − , L L + + , , 5 × 00 00 5 2 1 1 Rτ ω Lτ 8 R     L Re ω ( ω L − L Z ( ( 1 3 ∆ Table 1 L ∆ R L 2 ˜ 2 1 1 1 ω 5 φ − 1 1 1 ∆ ∆ ω − 2 1 1 Le 3 2 R 1 Re Rτ Rµ Ciσ l     ω L Ciσ − l l l T T ee 5 5 ˜ Ciσ = Ciσ 1 Y ω ω Rµ T Lµ T 2 1) 1) + L L     Z RR 1) Re Le − − , Re L L , , . The diagonal Dirac and the charged lepton mass term(which is same for 3 × = M 3 6 Rµτ Lµτ 2 For the class A2, to get the desired texture zero structures for the mass L The symmetry realization for the class A1 is shown in tabular form as table ω 8 Y Y D φ ω ( ω Z Reτ Leτ Z ( ( Y Y Le + + M × L 8 = = L ee Z Le Lτ Lµ l l l l Y The Majorana Yukawa Lagrangian (LH and RH) for A1 is thus given as, Under these symmetry realizations, we get the Majorana mass terms (LH and RH) The corresponding Dirac Yukawa Lagrangian for all the cases can be written as, In all the classes the bidoublets ML MR = L L D Class A2. matrices, the following symmetry realization has been adopted. and the type I SS mass terms for the class A1, in the matrix form as, L all the cases), in the matrix form can be written as, these texture zero structuresgroup in has the been framework worked of LRSM out which usingClass are A1. the explained below. discrete abelian ( group have extended the minimal left-right symmetricand model by right introducing two handed more left scalarrealize handed the triplets desired textures represented of Dirac by andin Majorana ∆ mind mass matrix, that the charged lepton mass matrix is diagonal. The symmetry realizations of JHEP02(2019)129 . . Rτ Rµ (3.7) (3.8) (3.9) (3.6) Lτ L (3.11) (3.10) Lµ L 0 2 2 00 L 1) L R 1) 1) 0 1) Z 1) Z R 00 1) Rµ L − , − − ∆ Rµ , − L L , 6 × ∆ Lµ , , 2 2 × 0 ∆ Lµ L 6 2 3 7 ∆ ω 0 8 2 L ω 8 ω, R L ω ( 0 2 ( ω ω ( 0 R Z ( Z ( ( L . ∆ Ciσ L ∆ 2 Ciσ     T Ciσ ∆     2 ∆ T Ciσ 2 T 0 2 × 0 T Rτ Ciσ Rτ Lτ L 0 Ciσ 0 00 Lτ × × 0 T 2 for the class B1 are L 00 Ciσ × × × L R Ciσ T R R R R L R T Z 0 T × × × Rµ ∆ 0 0 Rττ ∆ ∆ × × × ∆ Re ∆ ∆ Rτµ Lττ × L Y Lµ Le     Lτµ L     Y Y 8 L L Y Higgs(RH) + Higgs(RH) = Z + = + Rµµ Reµ + I Y I Lµµ Leµ Rµ , Y Rτ 2 2 Lµ Y Y L 1) 1) Lτ + 1) 1) + L Z Z L ,M 00 1) 1) ,M + + L 00 − − 00 , , − − R     00 , , Re 6 2 × × , R L     Rτ 5 7 L 2 4 Le ∆ ω ω L 8 8 Rτ 1 ω, 1 ∆ ∆ L 2 ( ω ( ω ω ω ( L R ∆ Z Z L 2 2 ( ( ( R − 2 L L 1 1 ∆ ω ∆ 1 2 ∆ Ciσ ∆ 2 4 Ciσ 2 Ciσ 2 T 1 1 1 3 1 1 1 Ciσ ω T T 1 1 1 ω T − 0 Ciσ 00 Rτ 0 00     Ciσ L Lτ Ciσ Rµ L L T Ciσ L     L L L Lµ T L T L – 8 – ∆ T = ∆ ∆ ∆ L ∆ ∆ Rµ = Rτ Lτ Lτ Rτµ L Lτµ L LL Rµτ L Higgs(LH) Y L Higgs(LH) Lµτ LL Y Y Y Rµe + ,M Rττ + Lτe + . Particle assignments for B1. Lττ . Particle assignments for A2. Y 2 ,M + 2 Y Y 1) 1)     Y 1) 1) Z Rτ 1) Z 1)     Lτ + Re 4 − − , + Le − − + , L 1 + , , 1 L 6 × , , ω L 5 × 00 L 7 3 0 00 5 2 0 ω Rµ 8 − ω 8 Re Lτ 7 R Le L ω ( ω R L ω ( ω 1 1 L Z ( ( Z L L ω ( ( 1 Table 3 Table 2 L ∆ ∆ ∆ 2 invariant Majorana Yukawa Lagrangian (LH and RH) for B1 R ∆ L R 2 L 2 2 4 2 1 1 1 4 Z 1 1 1 ∆ 1 1 1 ∆ ∆ ω ∆ ω 2 − R 2 2 R 2 Re Rτ Rµ l × Re Rτ Rµ l l     Ciσ l l Ciσ l Ciσ l l     Ciσ 8 T T T T = Ciσ Ciσ Ciσ = Z Ciσ 2 T Rµ Lµ 2 T Rµ T Lµ , T 1) 1) 1) 1) Z L 1) L Z L RR 1) L Re 3 Le RR − Re , Le − − , − , 2 × L , , 3 L × L M L 5 M 3 6 Lµτ Rµτ ω 8 Rµe Lµe ω 8 The symmetry realizations of the particles under ω, ( ω ω ( ω Y Y ( Y Y Z ( Z Leτ Reµ ( ( Ree Lee Y Y Y Y + + + + = = = = L L Le Lτ Lµ l Le Lτ Lµ l l l l l l l These transformations leads to the Majorana mass matrices (LH and RH) as, The corresponding Majorana Yukawa Lagrangian (LH and RH) for A2 is, The Majorana mass terms (LH and RH) and the type I SS mass terms, in the matrix ML ML MR MR L L L L The corresponding is, Class B1. as show in table form has been obtained as, JHEP02(2019)129 Rµ Lµ L (3.15) (3.12) (3.13) (3.14) 00 L 2 2 R 00 Z 1) Z 1) 1) 1) 1) 1) L , , , , ∆ − − Re 2 6 2 6 × × 2 ∆ , , Le L 2 ω ω ω ω 8 8 ( ( ( ( (1 (1 R L Z Z Ciσ L     ∆     T Ciσ 2 ∆ 0 × T 2 × × Rτ 0 Lτ × × L Ciσ 0 0 0 00 00 L R R T Ciσ R R R R 0 × × × T 0 0 × × × × ∆ ∆ Rτµ ∆ ∆ ∆ ∆ Rτ     Lτµ Y Lτ     L Y = L Higgs(RH) Higgs(RH) + = + I Rτe I Lτe Rτ Y 2 2 Lτ Y L ,M Z 1) Z 1) 1) 1) 1) 1) + L 00 ,M , , , , + 00     − − R 6 2 6 2 × ×     , , L 2 Rτ ω ω ω ω 8 8 1 ∆ 1 1 Lτ ω ( ( ( ( (1 (1 L ∆ 2 Z Z L 2 6 6 R 2 L 1 1 ω ω ω ∆ Ciσ ∆ 2 6 Ciσ 2 2 1 1 1 1 T 1 1 1 ω T ω 0 0 00 00     L L Rµ Ciσ L L     L L Lµ Ciσ L T ∆ ∆ – 9 – ∆ ∆ L = ∆ ∆ T = Re Le Rµτ L Higgs(LH) Higgs(LH) LL Lµτ LL L Y Y + Reτ ,M 2 2 ,M + Leτ . Particle assignments for B2. . Particle assignments for B3. 1) 1) 1) Y Y     Z Z 1) 1) 1)     Rµ − − − , , , Lµ 1 + 6 , , , + 5 5 5 × × L 1 L 3 3 3 0 ω 1 1 4 . 0 ω ω ω 8 8 Re ω ( ω ω ( ( R Le L ω 2 − Z Z 5 ( ( ( 1 1 L Table 4 Table 5 L ∆ ω ∆ 1 R 2 L 2 1 1 1 1 2 − 1 1 1 ∆ ∆ ω R R 2 Re Re Rτ Rτ Rµ Rµ 2 l l     l l l l l l Ciσ Ciσ     T T = Ciσ = Ciσ , 2 2 Rµ Lµ T 1) 1) 1) T Z Z 4 1) 1) 1) RR L L − − − , , , RR Re Le , , , 3 3 3 × × M L 5 5 5 L M ω ω ω 8 8 Rµµ Lµµ The symmetry realizations of the particles to obtain the desired mass terms The symmetry realizations to obtain the desired textures of the class B1 are ω ( ω ω ( ( Z Z Y Y ( ( ( Ree Lee Y Y + + = = L L Le Le Lτ Lτ Lµ Lµ l l l l l l l l The Majorana mass terms (LH and RH) and the type I SS mass terms, in the matrix The Majorana mass matrices (LH and RH) and the type I SS mass matrix under these ML MR L L form can be written as, Class B3. of class B3 is shown in table The corresponding Majorana Yukawa Lagrangian (LH and RH) for the class B2 is, as shown in table transformation has been obtained as, Class B2. JHEP02(2019)129 . to LL 6 Rτ Lτ M Rµ (3.18) (3.19) (3.20) (3.16) (3.17) L L 0 Lµ L 2 00 00 R L Z 1) L 1) 1) Re and R 00 , , Re ∆ Le − ∆ 2 6 × L Le L 2 , ∆ L 2 L 00 ω ω 8 0 2 L ∆ RR 00 R ( ( (1 R 00 L 2 Z ∆ Ciσ L M Ciσ ∆ ∆ 2 Ciσ T     2 2 T ∆ T Ciσ 2 0 0 Rτ T Lτ ]. Amongst the non Ciσ Rτ L Ciσ 0 Ciσ L 00 T × Lτ R L T Ciσ T R R 56 L T , ∆ 0 Rτ Rττ ∆ × × × × × Lττ ∆ Lτ Rµ Y L Rτµ Y Lµ L     L Lτµ 51 Y , L Higgs(RH) + + Y = Rτe + Lτe Rµe 45 + Y I Y Lµe Rµ – Lµ Y 2 Rτ Y L L + Lτ Z 1) 1) 1) + + 0 L 00 ,M , , 42 + L 00 − R , 6 2 L × 00 Rτ ,     Lτ Rµ R ω ω ∆ 8 L Lµ ∆ 42 L 4 2 L ( ( L 2 (1 ∆ 2 0 Z – L 00 R 00 ∆ ω ω 2 L 00 2 R 39 ∆ 1 L ∆ Ciσ 2 Ciσ ∆ 2 4 Ciσ ∆ T 2 T 1 1 1 1 1 Ciσ 2 ω T 0 00 T Rτ Ciσ Lτ L L     L Ciσ Rµ T Ciσ L L Lµ ∆ T Ciσ ∆ ∆ L T – 10 – = L Re T Le Rτµ Lτµ Re L Higgs(LH) Le L LL Y Rµτ Y L Lµτ L Y Y Reτ + + Leτ ), so it will have the same structure as 2 ,M . Particle assignments for B4. + Y Reµ + 1) 1) Y Leµ Z 1) Y     Lτ Rτ Y + − − , Rµ + 4 6 Lµ L L , , 2.11 5 × + 0 + L 3 3 00 ω ω L 0 ω 8 Re 0 R Le L ω ( ω Re R 1 Le Z L L ( ( L ∆ Table 6 ∆ L R L ∆ 4 2 L ∆ 2 1 1 1 1 1 R 2 L 2 ω ∆ ∆ 2 ∆ R 2 ∆ Re Rτ Rµ     l 2 Ciσ l 2 l l Ciσ Ciσ Ciσ T T = T T Ciσ Ciσ Ciσ 2 Rµ Ciσ Lµ T T 1) 1) Rµ Lµ T T RR Z L L 1) Re L Le − − L , Re Le , , M 3 × L L 5 5 L Rµτ Lµτ L ω 8 Similarly we give the transformations for the class B4 as shown in table Rµµ Lµµ ω ( ω Y Y Z ( ( Ree Lee Y Y Ree Lee Y Y + + Y + Y + = = L = = Le Lτ Lµ l l l l The type II SS mass term in LRSM is directly proportional to the Majorana mass The Majorana Yukawa Lagrangian (LH and RH) for B4 thus becomes, Under these symmetry realizations, we obtain the Majorana mass terms (LH and RH) The corresponding Majorana Yukawa Lagrangian (LH and RH) for B3 is, right symmetric model ML MR ML MR L L L L 4 Neutrinoless double beta decay andThe lepton very flavour facts violation ofnew LRSM contributions in to and NDBD left- the apartbeen from presence the extensively of standard studied light several in neutrino new several contribution. earlier heavy This works particles has [ leads to many term as evident from equationLRSM ( being a combinationmass of matrix type that I wouldshown and obey in type the tabular II structure form of SS in two mass the zero numerical terms texture analysis. would mass give matrix. us It the has final been and the type I SS mass terms as, Class B4. obtain the desired texture zero mass matrices. JHEP02(2019)129 R and (4.1) (4.2) (5.1) − L , the elements as well as their − R R . , and ∆ and W 4 conversion in the nuclei). bosons. The amplitude of µe L ] e − ∗ 2 − L R R R ]have focussed on the lepton R → W W M T eV W µ M 61 R 1 M , , bosons and RH triplet Higgs ∆ bosons, light neutrino contribution M II [ eγ 2 − ν 60 | , L − provides the most relevant constraints = → R lfv 2 g 56 + M µ | , eγ ]. Since LFV which is generated at high I 7 , ν e − R n 59 3 , established by the MEG collaboration. 51 → , W – 10 M µ eγ boson individually, light neutrino contribution → M = M 57 , × 45 – 11 – e , µ ν − 5 → 3 ∗ . R 39 M µ en → V µ ) = 1 µn V , heavy neutrino contribution mediated by both W and W eγ − 3 =1 − R . → X n L R to be favoring the TM mixing with magic symmetry, so as to , the BR of which is given by, at 90% CL was obtained by the SINDRUM experiment. While µ f I = ( ν e , the mass of the gauge bosons, W eγ i 3 contribution mediated by W lfv and W and BR → g L → ] for the process − L µ L µ 62 [ for 13 − 12 ]. The LFV processes 10 − is defined as, 57 × 10 2 lfv × . g 4 0 . and type II mass terms as, Here, we consider M obtain the desired two zerotwo texture. zeroes can The be different obtained magic neutrino from mass the matrix most with general magic mass matrix which can be In LRSM, we can write the light neutrino mass matrix as a combination of type I , triplet Higgs ∆ 1 < The current experimental constraints for the BRs of these processes has been obtained Besides the observation of neutrino oscillation also provides compelling evidence for − • < R it is 5 Numerical analysis and results as where, RH neutrino and Higgs scalars.studied in The [ relevant branching ratioson (BR) the masses has of been the derivedconsider RH and the neutrinos process and the doubly charged scalars. In this work we would energy scales are beyondamongst the the reach charged leptons ofat is the high widely colliders, scales. accepted searching asflavour them Many violating an in previous decay alternate modes low works procedure of energy [ Considerable to muon, CLFV scales ( probe occurs LFV in LRSM owing to the contributions that arises from the heavy these processes are dependent onof the the mixing heavy between neutrino, lightof and N the heavy RH neutrinos, leptonic thecoupling mixing mass to matrix, leptons, LH f and RH triplet Higgs, ∆ charged lepton flavour violation (CLFV) [ mediator particles are theto W NDBD in which themediated intermediate by particles both are W W W contribution to NDBD in which the mediator particles are standard contribution, notable are, heavy RH neutrino contribution to NDBD in which the JHEP02(2019)129 (5.5) (5.2) (5.3) (5.4) for different     I ν q     0 0 M s + s ). Again, we have 0 + − q     5.1 q p with r 0 s q + I − q ν r p 0 p − consists of the Majorana r p q q s 0 0 p q 0 0 p M     s s             ) (In IH), ) (In NH), 3 Maj − + U r r , m 2 atm 4) = 2) = 2) = with the neutrino mass matrices + − A m B B ( ( ( 2 atm T I I I using equation ( s q ν ν ν m where, + ∆ II − T 2 ν is the diagonalizing matrix for the magic PMNS ) ) which can be written as, r 2 sol + ∆ is a dimensionless parameter which follows 3 2 U TM + m γ 2 sol U 2.14 , m TM for our further analysis. diag 2 T m ,M r p q r p ν p q r – 12 – + ∆ ,M         , m M 2 1 RR Maj 1 s     + ∆ s U m = , where r m 2 3 + r r II − q r r + m ν PMNS , diag where, U − ν p − ,M M 2 q magic 2 sol 2 , M r s     ) for different classes. M m = U ], TM 0 p 0 s r =diag ( L I R + − , we can evaluate M 2 atm ν Maj I U W ν W 0 p q ν 28 U m M M + ∆ , r p r r q 0 0 0 2 0 p q p 0 0 diag ( 2 1 ν 27 γ             magic m TM + ∆ = M ,M 2 3 q T β , 2 m 1 = U RR m p I (B1) = (B3) = TM (A1) = I I ν I and ν ν . Thus we can find out M ν α 10 M M M = U − diag ( diag ( – – diag in LRSM, M directly from the minimizationbe of 10 the Higgs potential, here we considerUsing its the value constraint to relations fortrino the mass respective matrix, classes, we M have compared the neu- in terms of the lightest neutrino mass.classes Thus, we by can comparing solvematrices for and obtain the M unknown parameters (p, q,Since now r, we s) have in M the corresponding Again, M phases at the mass matrices as, which can be diagonalized by theM trimaximal mixing matrix as, mass matrix and is given in equation ( Using the constraint relations for various classes with two zero textures, we can arrive parameterized as [ • • • JHEP02(2019)129 = . i with 2 (5.7) (5.6) ! p h 2 are the 00 RR , e . R 00 1 ∆ R Maj M U and m +     p 2 and ∆ 0 iδ by diagonalizing it 13 0 13 R − c c 1 R e ∆ 23 23 Rei 13 . Varying the parame- M c and octant degeneracy s s is the Dirac CP phase. , ∆ β R + 23 δ iδ iδ θ e e 2 , and R 12 12 ij . Furthermore, contributions 1 s s ∆ θ 6 α − 13 13 M is the NME corresponding to the s s 10

13 N 23 23 =sin i c c s ij ≈ 12 M s − − s 2 ζ being the diagonalizing matrix of the , ) denotes the elements of the first row of ) which is very less and heavy light neu- 12 12 ij is Rei c c R θ , we can evaluate U U 5.7 R D 23 23 W 4 4 c s RR M M PMNS L R we obtain would consists of the mixing angles − − − W W L = cos – 13 – iδ RR M M iδ ij e W 2 e c 12 along with the other parameters of our concern. As ] and is given by, 12 c . We have chosen these parameters as the Majorana ] and writing the mass Eigen values in terms of lightest c φ + p ν 13 1 23 51 13 , s θ in equation ( 2 M s ∗ 13 i 23 . The M 42 c and 23 s T Rei . The symmetry realizations of the texture zeros using the c M Rei 12 θ and R − c 7 range [ U for (NH/IH) and varying from 0.0001 to 0.1, we have solved − U β 4 ) contains the Majorana phases 4 . Since we have M σ 12 3 2 are as shown in the previous section. i , 12 β L R s i s Z α diag e W W 23 , /m 23 c × 1 α M s M RR i − 8 2 e m in its 3 M ,     Z δ R ) containing two zeros. U , = p = II 13 ν is the typical momentum exchange of the process, where m θ can be neglected. The total effective mass is thus given by the formula as eff = U , ν N M M 12 is diag(1 + M RR PMNS θ p N+∆ I νββ U ν m m e Maj RH neutrino exchange. U the unitary matrix diagonalizingmass the Eigen right values handed M neutrinoas, mass M matrix M in the TM mass matrix, Here, ∆ in l.h.s.m represents the three RHmass of scalar the triplets proton and ∆ electron respectively and M from the left handedconsidering Higgs the triplets mixing between is LH suppressedto and by RH 0 sector the to light beused neutrino so in mass. small, earlier their works Thus contributions like, [ neutrinos, RH gauge bosons,tributions. scalar Higgs We triplets will as studyeffective well LNV mass as (NDBD) in the for the mixed the frameworkthe LH-RH of non left-right con- gauge LRSM. standard boson For contributions mixing atrino for ( simplified mixing the analysis which we is would dependent ignore upon zero are shown in table cyclic groups Owing to the presencetional of sources new would scalars give and rise gauge to bosons contributions in to the NDBD LRSM, process, various which addi- involves RH for the parameters phases are unknown yetis and yet the to precise be measurementvalues. of determined although experiments like NOvA, T2K haveThe reported different structures some of the neutrino mass matrix in the LRSM using two texture The abbreviations used hereU are ters, neutrino mass light neutrino mass matrix, (M • • JHEP02(2019)129 φ 12 θ and                         (5.8) c a d b b c c c 12 d d d d d θ and + + 0 + + + + + 0 0 0 + + + + 0 + + 23 Y Y X X θ W a b b b Y c Z c Z c Z c Z c Z d d b Y c Z ν + + + + + + + + + 0 + 0 0 + + + for both normal ! M Y Y range of the solar Z Y φ W X ). We have shown 23 θ θ σ a a X a a X b Y b Y b Z b a X a Y 2 5.7 Cos + + + + + + + + 0 0 + 0 0 0 + θ 0 0 00 0 2Sin X X X X W W W W W W −                         3Sin2 3 for different classes of two zero √         ν                 0 0 0 0 0 Y Y X X by varying the parameters 1 + W II

φ 0 0 0 ν Z YZ YZ YZ W XY and M 1 2 M 0 0 0 0 0 0 0 0 0 0 XYZ XYZ XZ X II WX W W WX WXY = WYZ and ν     2                 θ     23 θ                         and M b b c c 0 0 0 0 0 a Sin – 14 – I I , ν ν c d c d c d b c 0 0 0 d a θ 2 M are related to the oscillation parameters b c d b b c d b d 0 0 0 0 0 0 0 0 a a b 0 0 a c d a b a a b c ,M φ                         1 2Sin RR         and     −             ,M 3 θ 0 0 0 0 with a fall at around the best fit value. 0 B C C A B D ], = RR 23 0 0 0 CD CD A CD D BC θ 2 M 27 . The plot shows an exponential decrease and then increase in 0 0 0 0 0 0 0 0 , 0 0 A AB ABC ACD BCD AB A B BCD BD 12 23 θ although it doesn’t show significant dependence. The other mixing                 26         θ lies within the range (0.05 to 0.5) radian for the 3 12 range which is shown in figure 1. We have seen that the trimaximal Sin θ θ                         σ 0 0 0 0 0 0 z z z z z z D 0 0 0 0 0 0 0 0 0 0 0 0 y y y y y y shows some dependence on the atmospheric mixing angle M range of 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 x x x x x x φ σ                         in its 3 . The structures of M 23 the 3 with the increase in The effective mass governing NDBDRH from neutrino the and new scalar physics triplet contributionthe can coming two be from parameter obtained contour from plots equation with ( effective Majorana mass as the contour as in as, θ mixing angle mixing angle angle and inverted ordering of neutrino mass. It’s values lies within (1.56-1.66)radian for shown in paper [ We thus obtained the parameter space for B4 B3 B2 B1 A2 A1 Class Table 7 textures. JHEP02(2019)129 lightest is also m α for all the φ from (0.35-0.55) radian θ is also constrained as seen from β around (1.57-1.6) radian whereas A2, B3 and φ – 15 – satisfying KamlAND-Zen limit. φ plot, it is seen that for NH, the classes A1, A2, B1, B2, θ for both the mass hierarchies for different classes of allowed Vs β from (0.05-0.3) radian whereas B4 has the range (0.45-0.55) β θ , i.e., 6 combinations of two parameters, which we have shown Vs 2 α C 4 and θ ranging from (0.05-0.35) radian whereas B4 has Vs θ β , φ satisfying the experimental bound of effective mass lies from around (1.57-1.65) ters which gives effective massAlthough within all experimental the bounds classes is (A1, summarizedmass, A2, in B1, in table B2, some 8. B3, B4) casesthe gives the W-X the plot. allowed values values are Also, of effective inconstrained so the parameter much case space. constrained of B2 like (NH), B1 W-X, (IH), W-Z and especially X-Z in plots has extremely upper limit for effective neutrinoing mass the governing model NDBD. The parameterstable parameters that 7. shown appears be- Since in therethere the are would four type parameters, be II W, SSin X, mass these Y, plots. matrix Z in as Thehave the figures shown shown type corresponds using in II different to contours SS normal to mass distinguish and matrix, them. inverted hierarchies The which values of we these parame- the range of themass parameters governing satisfying NDBD the in experimental table bound 9 and of 10. effective neutrino Figures 7 to 18 showsbution the to two effective parameter mass contour as plots the with contour, the where new (0.061-0.1) physics eV contri- is the KamLAND-Zen and (0.7-3) radian respectively. In figure 6constrained and for 7, the experimentally again allowedthe range we different classes of see of effective allowed that mass. two zero It the texture is value neutrino different mass. of for We the have summarized Majorana phase B1, B2 and B3radian. has Similarly the value ofthese the plots. Majorana It phase is(0.7-3) around radian (1-3)radian for for classes theagain, A1, A1, class A2, B1, B4 B1, B2 which B2 and satisfies and B3 the has B3 range for KamLAND-Zen (1-3) NH bound. radian, and for For A2 IH and B4 it is (0.5-3) radian B4 has the range (1.62-1.66) for In figure 4 and 5,B3 i.e, has which satisfies the experimental bounds of effective neutrino mass. For IH, A1, A2, (0.01 to 0.1) eV satisfiesirrespective the of KamLAND-Zen the limit of massclasses effective hierarchies. shows mass different in Whereas, results. allφ the the In classes TM NH, mixing forradian angle the and classes for A1, the B1again the classes and classes B4, A2, A1, the B2 B1 range and and B2 of B3, has it is around (1.62-1.66)radian. For IH Vs two texture zero neutrinomass mass. is shown The in the KamLAND-Zen contour. upper limit forIn the figure effective 2 and 3, it is seen that the value of lightest neutrino mass ranging from figures 2 to 19. In figures 2 to 7, we have shown the two parameter space for • • • • JHEP02(2019)129 ) as . using 23 eγ θ eγ → µ → µ is constrained to 1 to 3 radian. β and atmospheric mixing angle β with the atmospheric and solar mixing angle, θ 3) are the right handed neutrino masses. We , and 2 – 16 – , φ is the upper limit of BR as given by MEG experiment. (n = 1 n 13 − 10 × 2 . , the value of the Majorana phase, 23 θ ), Where V is the mixing matrix of the right handed neutrinos with 4.1 range of σ . . Variation of the TM mixing angle 12 θ we are considering the boundonly the given class by the B2 for MEGthe both experiment. experimental bound the Out hierarchies of of results BR.the all in 3 On the more careful classes, observation parameter of space the satisfying figures, we see that for the contour where 4 After analyzing all the LFVmatrix, plots for it all is the interestingly classes seenthe of limit that two propounded zero most by texture of experiment. neutrino theand The mass classes A2 plots and clearly are B4 excludes unable for A1, NH to B1, in B3, give explaining B4 LFV BR for as within IH far as experimental bounds are concerned, For lepton flavour violation, weequation have evaluated ( the BR forthe the electrons process and muons.evaluated M the BR with the MajoranaFigures phase 20 and 21 shows the contour plot with BR for the decay process ( and • 23 Figure 1 θ JHEP02(2019)129 . The contour represents . The contour represents φ φ and and lightest lightest m m – 17 – . New physics contribution to effective mass governing NDBD for different classes of two . New physics contribution to effective mass governing NDBD for different classes of two Figure 3 zero textures for IH shownthe as effective a Majorana function mass of where two 0.061 parameter eV is the KamLAND-Zen upper limit. Figure 2 zero textures for NH shownthe as effective a Majorana function mass of two where parameter 0.061 eV is the KamLAND-Zen upper limit. JHEP02(2019)129 . The contour represents the . The contour represents the β β and and θ θ – 18 – . New physics contribution to effective mass governing NDBD for different classes of two . New physics contribution to effective mass governing NDBD for different classes of two Figure 5 zero textures for IHeffective shown Majorana as mass where a 0.061 function eV is of the two KamLAND-Zen parameter upper limit. Figure 4 zero textures for NHeffective shown Majorana as mass a where function 0.061 eV of is two the parameter KamLAND-Zen upper limit. JHEP02(2019)129 . The contour represents the . The contour represents the β β and and α α – 19 – . New physics contribution to effective mass governing NDBD for different classes of two . New physics contribution to effective mass governing NDBD for different classes of two Figure 7 zero textures for IHeffective Majorana shown mass as where a 0.061 eV function is of the two KamLAND-Zen parameter upper limit. Figure 6 zero textures for NHeffective shown Majorana as mass a where 0.061 function eV of is the two KamLAND-Zen parameter upper limit. JHEP02(2019)129 – 20 – . The various combinations of type II SS model parameters (in eV) with the new physics . The various combinations of type II SS model parameters (in eV) with the new physics Figure 9 contribution to effective mass asA1 the class contour, of where two 0.061 texture eV zero is neutrino the mass KamLAND-Zen matrix upper for limit inverted in hierarchy. Figure 8 contribution to effective masseffectiveupper mass limit as in the A1 contour, class where of 0.061 two eV texture is zero the neutrino KamLAND-Zen mass matrix for normal hierarchy. JHEP02(2019)129 – 21 – . The various combinations of type II SS model parameters (in eV) with the new physics . The various combinations of type II SS model parameters (in eV) with the new physics Figure 11 contribution to effective mass asA2 the class contour, of where two 0.061 texture eV zero is neutrino the mass KamLAND-Zen matrix upper for limit inverted in hierarchy. Figure 10 contribution to effective mass asA2 the class contour, of where two 0.061 texture eV zero is neutrino the mass KamLAND-Zen matrix upper for limit normal in hierarchy. JHEP02(2019)129 – 22 – . The various combinations of type II SS model parameters (in eV) with the new physics . The various combinations of type II SS model parameters (in eV) with the new physics Figure 13 contribution to effective mass asB1 the class contour, of where two 0.061 texture eV zero is neutrino the mass KamLAND-Zen matrix upper for limit inverted in hierarchy. Figure 12 contribution to effective mass asB1 the class contour, of where two 0.061 texture eV zero is neutrino the mass KamLAND-Zen matrix upper for limit normal in hierarchy. JHEP02(2019)129 – 23 – . The various combinations of type II SS model parameters (in eV) with the new physics . The various combinations of type II SS model parameters (in eV) with the new physics Figure 15 contribution to effective mass asB2 the class contour, of where two 0.061 texture eV zero is neutrino the mass KamLAND-Zen matrix upper for limit inverted in hierarchy. Figure 14 contribution to effective mass asB2 the class contour, of where two 0.061 texture eV zero is neutrino the mass KamLAND-Zen matrix upper for limit normal in hierarchy. JHEP02(2019)129 – 24 – . The various combinations of type II SS model parameters (in eV) with the new physics . The various combinations of type II SS model parameters (in eV) with the new physics Figure 17 contribution to effective mass asB3 the class contour, of where two 0.061 texture eV zero is neutrino the mass KamLAND-Zen matrix upper for limit inverted in hierarchy. Figure 16 contribution to effective mass asB3 the class contour, of where two 0.061 texture eV zero is neutrino the mass KamLAND-Zen matrix upper for limit normal in hierarchy. JHEP02(2019)129 – 25 – . The various combinations of type II SS model parameters (in eV) with the new physics . The various combinations of type II SS model parameters (in eV) with the new physics Figure 19 contribution to effective mass asB4 the class contour, of where two 0.061 texture eV zero is neutrino the mass KamLAND-Zen matrix upper for limit inverted in hierarchy. Figure 18 contribution to effective mass asB4 the class contour, of where two 0.061 texture eV zero is neutrino the mass KamLAND-Zen matrix upper for limit normal in hierarchy. JHEP02(2019)129 as as -12 -13 -13 -13 -12 -13 -13 -13 -13 -13 -13 -13 -13 -13 -12 -12 γ γ e e 1.×10 8.×10 6.×10 4.×10 1.×10 8.×10 6.×10 4.×10 1.×10 8.×10 6.×10 4.×10 1.×10 8.×10 6.×10 4.×10 BR(μ->eγ) BR(μ->eγ) BR(μ->eγ) BR(μ->eγ) → → 3.0 3.0 µ µ 3.0 3.0 2.5 2.5 2.5 2.5 2.0 2.0 2.0 2.0 (rad) (rad) (rad) (rad) 1.5 1.5 1.5 23 23 23 B1(IH) B4(IH) 23 1.5 B1(NH) B4NH) θ θ θ θ 1.0 1.0 1.0 1.0 0.5 0.5 0.5 0.5 0.0 0.0

3.0 2.5 2.0 1.5 3.0 2.5 2.0 1.5 1.0 0.5 0.0 3.0 2.5 2.0 1.5 3.0 2.5 2.0 1.5 1.0 ) ( β ) ( β ) ( β ) ( β rad rad rad rad (for IH) with BR for (for NH) with BR for α α -13 -13 -13 -13 -13 -13 -12 -12 -13 -13 -13 -12 -13 -13 -13 -12 4.×10 1.×10 8.×10 6.×10 4.×10 1.×10 8.×10 6.×10 4.×10 1.×10 8.×10 6.×10 4.×10 1.×10 8.×10 6.×10 BR(μ->eγ) BR(μ->eγ) BR(μ->eγ) BR(μ->eγ) 2.5 3.0 3.0 2.5 2.0 2.5 2.5 2.0 2.0 1.5 2.0 (rad) (rad) (rad) (rad) 1.5 – 26 – 1.5 23 23 23 B3(IH) 23 A2(IH) A2(NH) B3(NH) 1.5 Vs Majorana phase 1.0 θ θ θ θ Vs Majorana phase 1.0 1.0 23 23 1.0 θ 0.5 θ 0.5 0.5 0.5

3.0 2.5 2.0 1.5 1.0 3.0 2.5 2.0 1.5 1.0 3.0 2.5 2.0 1.5 1.0 3.0 2.5 2.0 1.5 1.0 0.5 0.0 ) ( β ) ( β ) ( β ) ( β rad rad rad rad is the upperlimit for BR given by MEG experiment. is the upperlimit for BR given by MEG experiment. -13 -13 -13 -13 -13 -13 -12 -13 -13 -13 -12 -13 -13 -13 -12 -12 13 13 − − 1.×10 8.×10 6.×10 4.×10 4.×10 4.×10 1.×10 8.×10 6.×10 4.×10 1.×10 8.×10 6.×10 1.×10 8.×10 6.×10 BR(μ->eγ) BR(μ->eγ) BR(μ->eγ) BR(μ->eγ) 10 10 × × 3.0 2.5 3.0 3.0 2 2 . . 2.5 2.5 2.5 2.0 2.0 2.0 2.0 1.5 (rad) (rad) (rad) (rad) 1.5 1.5 1.5 23 23 23 B2(IH) 23 A1(IH) A1(NH) B2(NH) . Atmospheric mixing angle, . Atmospheric mixing angle, 1.0 θ θ θ θ 1.0 1.0 1.0 0.5 0.5 0.5 0.5 0.0 0.0

3.0 2.5 2.0 1.5 1.0 3.0 2.5 2.0 1.5 1.0 1.0 3.0 2.5 2.0 1.5 3.0 2.5 2.0 1.5 ) ( β ) ( β ) ( β ) ( β rad rad rad rad Figure 21 the contour where 4 Figure 20 the contour where 4 JHEP02(2019)129 Z(NH/IH)(eV) 0.09-0.1/0.01-0.1 0.02-0.1/0.01-0.1 0.01-0.1/0.01-0.09 0.01-0.06/0.01-0.09 0.04-0.09/0.04-0.09 0.02-0.07/0.02-0.08 )(NH/IH) eV ( 0.01-0.1/0.01-0.1 0.01-0.1/0.01-0.1 0.01-0.1/0.01-0.1 0.01-0.1/0.01-0.1 0.01-0.1/0.01-0.1 0.01-0.1/0.01-0.1 lightest )(NH/IH) m to significant signal strength for the rad ( ) that satisfies the KamLAND-Zen limit R φ φ Y(NH/IH)(eV) 0.02-0.1/0.02-0.1 0.02-0.1/0.05-0.1 W ) that satisfies the KamLAND-Zen limit of 1.57-1.60/1.63-1.66 1.62-1.66/1.62-1.66 1.62-1.66/1.57-1.65 1.57-1.65/1.57-1.60 1.62-1.66/1.62-1.66 1.57-1.58/1.57-1.60 0.01-0.07/0.02-0.1 0.01-0.1/0.01-0.08 0.02-0.09/0.02-0.1 0.01-0.05/0.03-0.05 and θ lightest )(NH/IH) m – 27 – rad ( 1.0-3.0/1.0-3.0 1.2-3.0/0.5-3.0 1.2-3.0/1.0-3.0 1.2-3.0/1.2-3.0 1.2-3.0/1.2-3.0 0.7-3.0/0.7-3.0 β and ) (NH/IH) α, β rad ( X(NH/IH)(eV) θ 0.04-0.1/0.02-0.1 0.01-0.1/0.02-0.1 0.04-0.1/0.03-0.06 0.01-0.09/0.03-0.1 0.05-0.35/0.05-0.3 0.05-0.3/0.05-0.35 0.05-0.35/0.05-0.3 0.05-0.35/0.05-0.3 0.05-0.35/0.05-0.3 0.02-0.05/0.02-0.04 0.01-0.04/0.01-0.08 0.35-0.55/0.45-0.55 ) (NH/IH) B4 B3 B2 B1 A2 A1 rad ( Class 1.5-3.8/1.5-3.8 1.2-3.7/1.7-3.2 1.7-3.7/1.7-3.3 1.5-3.2/1.5-3.7 1.5-4.0/1.5-3.7 1.5-3.5/0.8-3.2 α B1 B2 B3 B4 A1 A2 Class W (NH/IH)(eV) . The range of TM mixing parameters ( 0.01-0.05/0.03-0.1 0.02-0.1/0.05-0.09 0.01-0.07/0.03-0.05 0.03-0.05/0.02-0.07 0.02-0.06/0.01-0.08 0.02-0.07/0.02-0.08 . The range of parameters ( . The range of model parameters that satisfies the KamLAND-Zen limit of effective Majo- B1 B2 B3 B4 A1 A2 Class Table 8 rana neutrino mass. at the colliders. Characteristic signaturescern) of at the the LRSM hadron (which is colliderof the experiments framework triply like of LHC and our emerges con- doublypresence from charged of the production RH scalars and gauge of decay interactionstrinos the as lead via well scalar production as quadruplet. of the the mixing In RH between gauge TeV the boson, scale heavy and LRSM, light the neu- Table 10 of effective Majorana neutrino mass. 5.1 Collider signatures Physics at TeV scale has obtained great importance owing to the fact that it can be probed effective Majorana neutrino mass. Table 9 JHEP02(2019)129 R R < W W i| (5.9) (5.10) eff couple m R |h to be N 150-162 GeV ++ R and ≥ which is related i ν R ] are provided by ββ W 63 m h , N 2 | T eV 2 M e 3 ββ m m r | 2 ×

ν 2 0 using 90% CL from the limit propounded M

5 R ) − W T eV 5 M . – 28 – Q, Z 3 T eV ( in MLRSM as explained in [ ν which corresponds to an effective mass of 0 N could be produced through Drell-Yan, which decays G ] found the lower bound on mass of ∆ of 3 (5 TeV), the mass of the RH 26 represents the phase space factor, the nuclear matrix M R 500 = 65 R 10 e , W ≥ ν W R m × 0 1 R 1 2 W M ++ 07 ∆ T . 1 and (0.082-0.076) M ν > ≤ 2 M 4 ] where the range corresponds to the uncertainities in the NMEs ν / 0 1 , R 2 ν 64 W [ 0 ei M Y , the breaking scale of LRSM based on low energy processes like lepto- G i R M eV i W P 065) . 0 as, searches in ATLAS, dijet searches by ATLAS (CMS), neutral hadron transitions channel. In the colliders − decay process. The best lower limits on the NDBD half life has been obtained R N jj jj Considering these experimental bounds in mind, we have considered the mass of 061 l l . νββ 6 Conclusion The importance of texturegained zero utmost significance neutrino in mass present day and research.mass its In matrices phenomenological this are context consequence two more zero has study. relevant texture neutrino as they We provides have the performed minimal free a parameters systematic for precise study of the Majorana neutrino mass matrix as 3.5 TeV in accordance withof the TeV. collider probes and the other heavy particles of the order of the relevant process.(19.5-21)GeV. Again, Tello For et al. [ for the isotopes Ge-76,KamLAND-Zen Te-130, respectively. Xe-136 The non in observation notableand of experiments NDBD constraints like the GERDA-II, masses CUORE, of by KamLAND-Zen T (0 where the terms element (NME) and0 the electron mass respectively. Γ represents the decay width for low energy phenomenon like NDBDon and LFV, these we mass are provided considering bymainly the the focused experimental in search bounds determining for the theseto effective phenomenon. Majorana the neutrino The observed mass NDBD NDBD experiments lifetime are as, genesis, supersymmetry, neutrinoless doubleconstraints beta on decay etc. the Most massesl stringent of experimental and search for NDBD. Whenand the hence breaking the scale of Majoranain LRSM nature future is of low experiments enough, the in LNV neutrino a can mass wider be can range seen be of probed parameter in space. the Since colliders we and are considering the to RH neutrino andcan a further decay charged to lepton. chargedheavy leptons/antileptons The and and jets. RH light neutrino With neutrinos negligiblethrough (which mixing as RH are between currents. well Majorana Several as particles) constraintsgauge left have boson, been and put right forwarded W on the bosons, mass both of the RH l JHEP02(2019)129 2 in the framework Z × 8 Z – 29 – are also constrained from both NDBD and LFV point β ), which permits any use, distribution and reproduction in and α CC-BY 4.0 This article is distributed under the terms of the Creative Commons level. We tried to study the constraints of the allowed patterns of texture σ Debasish Borah, IIT Guwahati, for some useful comments regarding the plots. Open Access. Attribution License ( any medium, provided the original author(s) and source are credited. Acknowledgments The work of MKD is supportedof by the India Department of under Science and the Technology, Government project no. EMR/2017/001436. The authors would like to thank marginally allow some of thean two zero indepth texture study patterns of inimplications the nearby for future. texture NDBD, zero Notwithstanding, LFV classes could considering be all done the for model an parameters even and more strong its conclusion. mass in explaining thewhereas experimentally only allowed regions the of classAgain, charged B2 the lepton Majorana is flavour phases giving violation of results view. within bounds However, forNDBD the both will sensitivity probably the of reach mass NDBD around hierarchies. experiments 0.05 eV to in the future effective experiments mass which governing might exclude or constrained for a very(NH) limited for parameter some space for combinationsnumerical analysis. some of classes, Thus the we specifically model canis B1 say relatively parameters (IH), that less which the B2 for has contributionsboth these from NH been classes. and the IH) explained type Interestingly and II the A1(IH), in B1(IH), SS present the B3(IH), in results A2(NH) NDBD ruled classes of out two texture B4 zero class neutrino (for the KamLAND-Zen limit isallowed concerned range irrespective of of theof the parameter effective space mass Majorana is hierarchies. constrained neutrinotwo However for mass. zero the the texture allowed We neutrino experimental have masshave considered bounds matrices done an which six analysis satisfies different of TM allowed the mixing classes model in of parameters our (W, case. X, Again Y, we Z) in our case which are heavily of left-right symmetric model.is able The to two explain zeropropounded NDBD by textured with experiment neutrino the (KamLAND-Zen). effective masstwo However Majorana matrix zero all mass textures in the within shows different our different theour allowed case results classes experimental results, for of limit having different neutrino doneof mass a two hierarchies. zero careful Based textures, comparison on it of is the seen plots that obtained none for of different the classes cases totally disallows NDBD as far as out of fifteen patternsdata namely (A1, at A2, 3 B1-B4,zero C1) neutrino can mass survive matrices the inNDBD current the and experimental framework LFV. of We LRSMmatrices have from by shown low implementing that energy a one phenomenon abelian like can discrete obtain symmetric the group desired two zero texture mass with two independent zeros. As has been pointed out in several earlier works that seven JHEP02(2019)129 , , ]. B , ]. Phys. 18 Phys. ]. , ] SPIRE , Phys. Lett. IN ]. , SPIRE ][ Non-Abelian IN SPIRE Phys. Lett. ]. , ][ IN ]. SPIRE ][ IN Status of neutrino (2010) 1 ][ SPIRE ]. SPIRE IN IN 183 ][ ]. ][ arXiv:1711.02107 (2016) 033102 [ SPIRE Addressing neutrino mixing Bled Workshops Phys. arXiv:1108.4534 IN , . [ ][ SPIRE ]. C 40 IN arXiv:1503.03431 [ ][ arXiv:1610.09090 [ arXiv:1406.3546 (2018) 286 SPIRE ]. ]. IN (2016) 379 (2011) 083 ]. ][ Phenomenological study of extended seesaw Zeroes of the neutrino mass matrix Two-texture zeros and near-maximal hep-ph/0202074 arXiv:1806.06785 [ C 78 86 09 Tri-bimaximal mixing and the neutrino SPIRE Chin. Phys. [ SPIRE ]. , IN Fitting flavour symmetries: the case of two-zero SPIRE IN (2017) 075 ][ (2015) 113008 arXiv:1401.3207 – 30 – IN ][ (2014) 126] [ Prog. Theor. Phys. Suppl. [ JHEP Two-zero Majorana textures in the light of the Planck 03 ][ , , SPIRE Two-zero textures of the Majorana neutrino mass arXiv:1311.4750 10 Discriminating Majorana neutrino textures in light of Revisiting the texture zero neutrino mass matrices Pramana (2002) 167 [ IN D 91 A results , (2018) 164 ν ][ Eur. Phys. J. JHEP 07 , , ]. Neutrino mass matrix with two zeros and leptogenesis arXiv:1603.08083 ]. B 530 [ A complete survey of texture zeros in the lepton mass matrices HK 2 (2014) 053009 hep-ph/0210155 JHEP SPIRE hep-ph/0201008 Phys. Rev. [ , SPIRE Erratum ibid. [ , IN hint for normal mass ordering and improved CP sensitivity (2014) 061802 [ IN Observation of electron neutrino appearance in a muon neutrino beam ][ σ arXiv:1708.01186 D 89 ][ 3 [ ]. 112 Phys. Lett. hep-ph/0201151 : , [ (2016) 123B08 (2003) 127 (2002) 79 2018 Texture zeros and Majorana phases of the neutrino mass matrix SPIRE Texture zero mass matrices and their implications (2014) 090 IN Update on two-zero textures of the Majorana neutrino mass matrix in light of recent ]. Phys. Rev. (2018) 633 2016 07 , collaboration, B 551 B 536 (2002) 159 K, Super-Kamiokande and NO SPIRE 2 IN arXiv:1509.05300 arXiv:1003.3552 [ oscillation data T2K Phys. Rev. Lett. atmospheric neutrino mixing angle model for light sterile neutrino models with DUNE and T T [ Lett. matrix and current experimental tests neutrino mass textures (2017) 1 [ results the baryon asymmetry 530 PTEP JHEP Lett. [ oscillations B 782 discrete symmetries in particle physics P.F. Harrison, D.H. Perkins and W.G. Scott, N. Nath, M. Ghosh, S. Goswami and S. Gupta, S.K. Agarwalla, S.S. Chatterjee, S.T. Petcov and A.V. Titov, S. Kaneko and M. Tanimoto, S. Dev, R.R. Gautam, L. Singh and M. Gupta, H. Fritzsch, Z.-Z. Xing and S. Zhou, J. Alcaide, J. Salvado and A. Santamaria, S. Zhou, D. Meloni, A. Meroni and E. Peinado, M. Borah, D. Borah and M.K. Das, Z.-Z. Xing, M. Singh, G. Ahuja and M. Gupta, G. Ahuja, P.O. Ludl and W. Grimus, P.H. Frampton, S.L. Glashow and D. Marfatia, P.F. de Salas, D.V. Forero, C.A. Ternes, M. Tórtolaand J.W.F. Valle, H. Ishimori, T. Kobayashi, H. Ohki, Y. Shimizu, H. Okada and M. Tanimoto, [8] [9] [5] [6] [7] [3] [4] [1] [2] [17] [18] [15] [16] [13] [14] [10] [11] [12] References JHEP02(2019)129 , , ] from (2008) (2017) 200 13 C 78 ] ]. θ ]. D 94 08 2015 Nucl. Phys. , D 96 Erratum ibid. SPIRE SPIRE [ IN ]. IN JHEP ]. , ][ ][ (2010) 013010 (2018) 055022 Phys. Rev. Eur. Phys. J. arXiv:0812.0436 , SPIRE , [ SPIRE Phys. Rev. (2012) 328 IN IN , D 82 (1980) 1316 D 97 ][ arXiv:1808.00943 ]. ][ ]. [ 44 B 856 SPIRE ]. (2009) 599 SPIRE IN IN arXiv:1204.0626 Phys. Rev. ][ [ ][ arXiv:1601.07512 Phys. Rev. , (2018) 199 [ , C 62 SPIRE IN 10 Trimaximal mixing with predicted with spontaneous CP-violation Neutrinoless double beta decay: [ Nucl. Phys. Majorana neutrinos and low-energy tests of ]. 4 arXiv:0805.2764 reflection symmetry , S [ ]. arXiv:1707.08707 ]. Phys. Rev. Lett. τ ]. [ - , JHEP µ On the uniqueness of minimal coupling in , SPIRE ]. (2012) 191802 – 31 – IN SPIRE SPIRE [ Eur. Phys. J. SPIRE (2016) 2162659 IN IN ]. (1981) 1310 arXiv:1007.0808 , Local B-L symmetry of electroweak interactions, arXiv:1203.1669 Exact left-right symmetry and spontaneous violation of IN 108 [ ][ Comparing trimaximal mixing and its variants with (2008) 056 [ SPIRE ][ IN ]. 08 Displaced vertex signatures of doubly charged scalars in the Results and future plans for the KamLAND-Zen experiment 2016 Triangle UD integrals in the position space D 24 SPIRE ][ Trimaximal (2018) 072701 ]. Zeros in the magic neutrino mass matrix IN ]. ][ neutrino mixing in SPIRE Observation of electron-antineutrino disappearance at Daya Bay 120 JHEP 1 ]. IN (1975) 1502 (2017) 012031 Upgrade for phase II of the Gerda experiment , SPIRE ][ SPIRE Observation of Reactor Electron Antineutrino Disappearance in the IN (2012) 171803 (2012) 079904] [ IN Search for neutrinoless double-beta decay with the upgraded EXO- 888 Phys. Rev. ][ Phys. Rev. Lett. SPIRE ][ D 12 , , arXiv:1306.2358 collaboration, IN [ 108 arXiv:1607.08328 ][ D 85 Trimaximal mixing with a texture zero [ arXiv:1711.01452 collaboration, Unitarity constraints on trimaximal mixing [ collaboration, Trimaximal TM Phys. Rev. Lett. ]. ]. arXiv:1705.02027 collaboration, , Adv. High Energy Phys. (2013) 80 Phys. Rev. [ , collaboration, , arXiv:0803.3420 [ (1980) 1643 SPIRE SPIRE IN arXiv:1802.00425 Erratum ibid. IN arXiv:1108.4278 higher-spin gauge theory type-II seesaw and its[ left-right extensions Majorana neutrinos and neutron44 oscillations electroweak models GERDA (2018) 388 EXO detector parity review KamLAND-Zen J. Phys. Conf. Ser. 106 [ (2016) 036004 [ deviations from tri-bimaximal mixing [ B 875 a new type of[ constrained sequential dominance Phys. Rev. Lett. RENO RENO experiment 055039 Daya Bay N. Boulanger, S. Leclercq and P. Sundell, P.S. Bhupal Dev and Y. Zhang, R.N. Mohapatra and R.E. Marshak, Riazuddin, R.E. Marshak and R.N. Mohapatra, G. Senjanovićand R.N. Mohapatra, S. Dell’Oro, S. Marcocci, M. Viel and F. Vissani, I. Kondrashuk and A. Kotikov, R.R. Gautam, R.R. Gautam and S. Kumar, S. Kumar, C.H. Albright and W. Rodejohann, C. Luhn, S. Antusch, S.F. King, C. Luhn and M. Spinrath, W. Rodejohann and X.-J. Xu, [36] [37] [34] [35] [31] [32] [33] [29] [30] [26] [27] [28] [24] [25] [22] [23] [20] [21] [19] JHEP02(2019)129 , , , , ] ]. , Phys. , ]. SPIRE IN ]. SPIRE decay in TeV [ IN β ][ (2013) 151802 Conference on the SPIRE ]. IN th (2017) 2911 arXiv:1303.6324 110 ][ [ 12 (2015) 323 56 ]. (2013) 1407 SPIRE ]. IN (2016) 099902] 174 , Vail, CO, U.S.A. 19–24 May ]. ][ ) SPIRE Left-right symmetric electroweak IN ]. (2013) 153 B 718 SPIRE The scalar triplet contribution to 2015 arXiv:1204.2527 D 93 ]. ][ IN Proceedings, SPIRE Neutrinoless double- [ 09 [ IN Phys. Rev. Lett. ]. ]. SPIRE ][ , in , IN SPIRE arXiv:1508.07286 [ IN ][ JHEP , Phys. Lett. ][ Int. J. Theor. Phys. SPIRE SPIRE , (2012) 008 , (1991) 837 IN IN Connecting Dirac and Majorana neutrino mass arXiv:1212.0612 Erratum ibid. [ ][ ][ Implications of the diboson excess for neutrinoless 08 Springer Proc. Phys. Lepton number violation in Higgs decay at LHC – 32 – [ Heavy neutrino searches at the LHC with displaced , (2015) 077 D 44 arXiv:1503.06834 New physics effects on neutrinoless double beta decay [ ]. 10 JHEP , arXiv:1703.04669 hep-ph/0606220 [ Lepton number and flavour violation in TeV-scale left-right ]. Neutrinoless double beta decay and lepton flavour violation in [ Exploring texture two-zero Majorana neutrino mass matrices SPIRE ]. ]. ]. Neutrinoless double beta decay in type I+II seesaw models (2013) 015002 Left-right models with light neutrino mass prediction and IN JHEP arXiv:1509.05387 (2014) 073005 Phys. Rev. , [ ][ , SPIRE SPIRE SPIRE SPIRE arXiv:1512.00440 arXiv:1509.01800 IN D 87 (2015) 081802 [ [ IN IN IN (2017) 375 D 89 ][ (2006) 260 ][ ][ ][ 115 Probing leptonic models at the LHC C 77 B 640 symmetric neutrino mass models (2016) 011701 Magic neutrino mass matrix and the Bjorken-Harrison-Scott parameterization (2016) 046 (2015) 208 Phys. Rev. Neutrinoless double beta decay process in left-right symmetric models without scalar τ Lepton number violation at colliders from kinematically inaccessible gauge bosons Phys. Rev. ]. , - , µ 04 11 arXiv:1510.01302 D 93 SPIRE arXiv:1312.2900 arXiv:1705.00922 arXiv:1211.2837 arXiv:1211.5000 IN models with triplet Higgs Phys. Lett. with the latest neutrino oscillation data [ broken [ Intersections of Particle and2015 Nuclear [ Physics (CIPANP vertices [ Eur. Phys. J. Phys. Rev. Lett. lepton flavour violation andJHEP neutrinoless double beta decay in left-right symmetric model matrices in the minimal left-right symmetric model bidoublet dominant neutrinoless double beta[ decay rate double beta decay and leptonRev. flavor violation in TeV scale left right symmetric model scale left-right symmetric models JHEP from right-handed current symmetric theories with large[ left-right mixing C.S. Lam, M. Singh and R.R. Gautam, H. Borgohain and M.K. Das, N.G. Deshpande, J.F. Gunion, B. Kayser and F.I. Olness, F.F. Deppisch, J.C. Helo, M. Hirsch and S. Kovalenko, R. Ruiz, A. Maiezza, M. Nemevˇsekand F. Nesti, G. Bambhaniya, P.S.B. Dev, S. Goswami and M. Mitra, M. Nemevˇsek,G. Senjanovićand V. Tello, S. Patra, M.K. Parida and S. Patra, J. Chakrabortty, H.Z. Devi, S. Goswami and S. Patra, D. Borah and A. Dasgupta, J. Barry and W. Rodejohann, R.L. Awasthi, P.S.B. Dev and M. Mitra, S.-F. Ge, M. Lindner and S. Patra, [53] [54] [51] [52] [49] [50] [47] [48] [45] [46] [43] [44] [41] [42] [39] [40] [38] JHEP02(2019)129 , D gauge ]. ] R W ]. SPIRE Phys. Rev. with the full , ]. IN Addendum ibid. γ [ ][ SPIRE + e IN SPIRE ][ → IN ]. + (2016) 095016 ][ µ arXiv:1605.05081 Left-right symmetry: from Double beta decay, lepton [ Lepton flavor violation without SPIRE (2017) 075021 (2011) 151801 D 94 (2016) 082503 IN ][ 106 ]. 117 arXiv:1709.00294 D 96 [ (2016) 434 Neutrino jets from high-mass arXiv:1410.6427 [ ]. SPIRE hep-ph/0404233 Phys. Rev. ]. [ IN , C 76 ][ (2018) 1 CP violation in two texture zero neutrino mass SPIRE Phys. Rev. , 41 IN SPIRE – 33 – IN ][ arXiv:0708.3321 Phys. Rev. Lett. Phys. Rev. Lett. [ , ][ , (2015) 015018 (2004) 075007 Lepton flavour violation in left-right theory Charged lepton flavor violation: an experimenter’s guide Eur. Phys. J. Search for Majorana neutrinos near the inverted mass , D 91 ]. ]. Lepton number violation, lepton flavor violation and Charged lepton flavour violation: an experimental and ]. (2007) 79 arXiv:1307.5787 D 70 [ Riv. Nuovo Cim. SPIRE SPIRE , SPIRE IN IN B 656 Search for the lepton flavour violating decay arXiv:1605.02889 IN ][ ][ Phys. Rev. arXiv:1701.06801 ][ ][ collaboration, , [ (2013) 27 Phys. Rev. , 532 Phys. Lett. ]. , collaboration, (2016) 109903 (2017) 075010 SPIRE -parity breaking arXiv:1011.3522 IN arXiv:1607.03504 arXiv:1709.09542 [ KamLAND-Zen hierarchy region with KamLAND-Zen 117 LHC to neutrinoless double beta decay MEG dataset of the MEG[ experiment bosons in TeV-scale left-right symmetric[ models 95 flavor violation and colliderD signatures of left-right symmetric models with spontaneous theoretical introduction Phys. Rept. matrices baryogenesis in left-right symmetric[ model supersymmetry V. Tello, M. Nemevˇsek,F. Nesti, G. Senjanovićand F. Vissani, M. Mitra, R. Ruiz, D.J. Scott and M. Spannowsky, P. Fileviez Pérezand C. Murgui, F.F. Deppisch, T.E. Gonzalo, S. Patra, N. Sahu and U. Sarkar, L. Calibbi and G. Signorelli, R.H. Bernstein and P.S. Cooper, H. Borgohain and M.K. Das, V. Cirigliano, A. Kurylov, M.J. Ramsey-Musolf and P. Vogel, S. Dev, S. Kumar, S. Verma and S. Gupta, [64] [65] [62] [63] [60] [61] [58] [59] [56] [57] [55]