JCAP06(2016)010 C Hysics P Le Ic T Ar Nirakar Sahoo B Doi:10.1088/1475-7516/2016/06/010 Strop a Sudhanwa Patra, A

JCAP06(2016)010 c hysics P le ic t ar Nirakar Sahoo b doi:10.1088/1475-7516/2016/06/010 strop A Sudhanwa Patra, a . Content from this work may be used symmetry. The charged particle of the vector-like lepton doublet c 3 osmology and and osmology 2 Z C 1601.01569 dark matter theory, neutrino properties, particle physics - cosmology connection

We present a simple extension of the Standard Model (SM) to explain the recent rnal of rnal Article funded byunder SCOAP the terms of the Creative Commons Attribution 3.0 License .

ou An IOP and SISSA journal An IOP and Department of Physics, IndianNorth Institute Guwahati, of Assam Technology Guwahati, 781039, India Center of Excellence inSiksha Theoretical ‘O’ and Anusandhan Mathematical University, Sciences, BhubaneswarDepartment 751030, of India Physics, IndianKandi, Institute Sangareddy, of Medak Technology 502 Hyderabad, 285, Telengana,E-mail: India [email protected], , [email protected] , [email protected] [email protected] b c a Any further distribution ofand this the work must title maintain of attribution the to work, the author(s) journal citation and DOI. and Narendra Sahu Received February 2, 2016 Revised April 22, 2016 Accepted May 26, 2016 Published June 6, 2016 Abstract. diphoton excess, reported bydark sector CMS including and a vector-like ATLAS leptonwhich at doublet are and CERN a odd singlet LHC. under ofassist a zero The the electromagnetic additional charge, SM scalar, is differentaround from extended 750 SM GeV by Higgs, and a to thus decaycomponent explaining to of di-photons the of the excess invariant observed mass Universe. vector-like at lepton We LHC. show doublet the The relevant andof parameter admixture dark space singlet of for matter. neutral constitute correct relic the density dark and direct matter detection ofKeywords: the ArXiv ePrint: Subhaditya Bhattacharya, 750 GeV diphoton excessLHC at from CERN a darkdecay sector assisted scalar J JCAP06(2016)010 6 = 13 TeV. s S √ → 45 GeV). For large gg ≈ , . 3)fb 3)fb ± ± . This excess could be simply due (10 (6 γγ ' ' ) ) events decreases significantly. Therefore, γγ γγ γγ → → with a mass around 750 GeV is given as: X X X – 1 – ) Br ( ) Br ( through mixing with the SM5 Higgs X X and quark-like vector particles for S → → γγ pp pp 5 decays → ( ( S S CMS events in the proton-proton collision with centre-of-mass energy σ ATLAS σ γγ of 750 GeV coupling to the vector like fermions arising in some new in the invariant mass distribution of S , while ATLAS reported the same excess around 750 GeV with a local σ and production of ) to fit the data. σ γγ γγ ) 13 TeV. In fact, CMS reported the excess around 750 GeV with a local sig- → → s 10 fb), which indicates its production is due to strongly interacting particles. The √ S X ≈ = → If the diphoton events observed at LHC are due to a resonance, then the Landau- The diphoton signal around invariant mass of 750 GeV can be explained via postulating 3.2 Dark3.3 sector assisted Dark sector assisted 3.1 pp cm ( E most important feature of the resonance is that it’s width is quite large ( Yang’s theorem] [4,5 impliesthe that resonance the could spin befeature of a of spin the the zero resonance resonancelarge scalar can is ( or not that a be the spin 1. production two tensor cross-section In similar times other to branching words graviton. ratio Another is quite 4 Relic density and direct5 search constraints on Conclusions dark matter8 The apparent conflict between theseachieved two even experiments though could be the due dataAmazingly to are the the collected different at diphoton luminosity the excessesbin. same observed centre-of-mass-energy This by gives thecan enough two be indication experiments for confirmed are newexcess at or observed physics the ruled at beyond same out LHC the energy to by standard be future model a data. (SM) signature which of In new physics the and following provide we a consider viable solution. the diphoton 13 physics models. In such a situation, the diphoton signal can be reproduced by producing a scalar resonance the main challenge for anyσ theory beyond the SM is to find a large production cross-section: nificance of 2.6 significance of 3.6 to the statistical fluctuationsfor or its due verification. to the Fromtimes ATLAS presence the [2] of branching and a ratio CMS new of [3] Physics any experiments, and resonance the needs production future cross-section data width of the resonance, the branching fraction to 1 Introduction Recently CMS and ATLASreported detectors at an the excess Large( of Hadron Collider (LHC) experiment [1–3] Contents 11 Introduction 2 Model for dark sector3 assisted diphoton Explanation excess2 for diphoton excess5 JCAP06(2016)010 on (2.1) (2.2) ψ to give , ) S H, † . In addition S, H Y ( SH V SH + U(1) µ i . × + c . , which are odd under L 2 0 S χ ) + h H 0 (1,1,0), where the quantum † under which the dark sector SU(2) 0 2 H e × χ Hχ ( Z c ψ 2 SH Y h λ , is postulated to constitute the dark . The scalar potential in eq. (2.1) is + + 0 ∗ and a singlet 0 10 fb and dark sector phenomenology 4 χ H χ S ψ 2 0 and calculating the branching fraction for ≈ S ). Although many attempts [6–155] have χ 4 iτ λ S ) S γγ χ = to decay to SM particles at one loop level. The 0) and a dark sector, comprising of a vector like + f γγ , → 2 e – 2 – S 1 → H + S , is required for vacuum stability. We assume that → odd particle, which is an admixture of the neutral gg 0 2 S S (1 2 χ µ S H ) becomes a viable candidate of DM, ii) secondly, the S 0 Z 1 2 λ 0 , which is required to be large to fit the data. Hence, χ S → χ S and the singlet χ + λ can easily enhance the width of the resonance, which is 2 M ψ pp √ ) → ( does not acquire a vacuum expectation value (vev) before 2 + H σ − † S gg ) (1,2,-1) and a leptonic singlet H > ψψ − ( S H ψ , ψ SH λ f 0 λ ) and singlet ( ψ + + 0 are odd, while all other fields are even. The motivation for introducing ψ 0, so that H = ( † 0 ψψ χ T < 0 and ψ H ψ excess through 2 H W W, ZZ, Zγ, γγ, hh M symmetry. The lightest 2 H > µ µ and 2 S → γγ Z ψ is the SM Higgs isodoublet and , λ ) = S H −L ⊃ H λ 0 and The relevant Lagrangian can be given as: The paper is organized as follows: in section2, we present the model for 750 GeV S, H ( > V 2 S given by µ rise the diphoton excess of invariant mass 750 GeV. charged component of the vector like lepton doublet assists the scalar resonance diphoton excess from a dark sectorsignal assisted from scalar the decay. decay In of section3, aprocess We scalar discuss at resonance the which LHC. diphoton is primarilyparameter We produced then space via in present gluon-gluon fusion the section4,conclude relic which in is density section5. consistent and with direct 750 detection GeV constraints diphoton on excess DM 2 and finally Model for darkWe extend sector the SM assisted with diphoton a scalar excess singlet such a dark sectorthe is lepton two doublet fold: ( i) firstly, the linear combination of the neutral component of decay of required to explain thedark width sector of particles the carry observedparticle no diphoton via excess color gluon at charges, fusion, LHC. they i.e., can Since not the contribute vector-like to production of scalar through relic density and direct search experiments. lepton doublet numbers in the parentheses areto under the the SM gauge gauge groupfermions: SU(3) symmetry, we impose a discrete symmetry where where additional vector-like particles carrying(See color for instance charges [156]). areto We introduced then explain to demonstrate the aid constraints the on production the model parameter space heavy scalar through gluonthe gluon scalar fusion decaying to two photons Br( a remnant component of the leptonmatter doublet (DM) component ofthe the other hand, Universe. assists the The scalar charged resonance particle in the lepton doublet already been made inprime the goal context in this of paperdecay a is scalar of to resonance the show coupled that scalardark the to can sector vector-like vector-like be fermions including fermions, assisting related a our the to vector-like production lepton a and doublet possible dark sector. More precisely, we consider a JCAP06(2016)010 h = (2.7) (2.6) (2.5) (2.3) (2.4) SH µ gets an . In the 0 S χ , = 750 GeV H S λ and 2 M / = 125 GeV and 0 2 H ψ h as µ M − hS θ q = through the tri-linear term v D D, 2 2 1 1 . for different choices of H , = 2 + − 2 i v   v H 2 H 2 2 χ h = 125 GeV and S is the new scalar χ v λ SH v v 2 h between the two scalar fields vanishes M λ M v   SH , 2 D − 2 D SH SH v M λ = 10 GeV, represented by red solid line) − + − D 2 ψ hS SH λ λ m m , corresponding to the mass eigenstates θ v 2 S ψ ψ 2 µ 2 2 1 1 + SH m M ) µ SH µ 2 S M M v SH + + µ χ D q λ 2 S 2 S − + mixes with the SH 2 M m v µ µ µ – 3 – + v µ χ ψ 2 1 2 1   S H 2 S and M M SH λ µ = + + acquires a vev: µ v 2 + 4 ( 2 2 ≈ ≈ = 125 GeV intersect vertically as expected while for H = v v   2 H M 1 2 λ h (with mass dimension one) decides the mixing between 467. However, such large values of the mixing angles are H H . 2 2 = hS M M λ λ 0 M v θ √ 2 SH ≈ SH µ M = = tan λ hS as the SM Higgs with 2 2 h S θ − h M M 2 S µ 1400 GeV, we can not get simultaneous solution for − 2 > v H = 750 GeV and . Diagonalizing the above mass matrix we get the mass eigen values as SH λ GeV (Red thick, Blue dashed and Green dotted lines respectively), as shown 2 µ S } Y v ), the mass matrix is given by: M q 0 0. For finite mixing, the masses of the physical Higgses can be obtained by = = 750 GeV. Using eq. (2.5) we have plotted contours for = = 125 GeV. This implies that the largest allowed mixing for which we get the , ψ 1400 D 0 → , S h D m . Due to the mixing we get the mass matrix for the scalar fields as: χ , where we identify M The electroweak phase transition also gives rise a mixing between After electroweak phase transition, M S H = 750 GeV in the plane of 750 SH † , µ S 10 where basis ( strongly constrained from other observationsissue (See of for small/large instance mixing [13]). in We section3. will get back to this SH and with M and simultaneous solution is sin in figure1. We observe that for small mixing ( electroweak phase transition. After induced vev which we neglect in the following calculation. where { larger mixing, contours of where the trilinear parameter the two scalar fields, which can be parameterized by a mixing angle The above equation showsif that the mixing angle Diagonalizing the mass matrix (2.3) and is given by: JCAP06(2016)010 . 2 χ v M 2 D (2.8) (2.9) SH − (2.11) (2.10) m λ ψ M + 2 S = µ ) 1 p ψ M µ Z and µ v γ . Therefore, a non- 2 H ψ ψ λ 2 M ) and the mixing angle , + 2 √ , 2 − = 1 ψ = 1400 GeV (Dotted green). ψ is given by ∆ ± M µ µ ( 2 Z Z M SH ψ 2 µ µ , µ 1 γ γ , 0, 1 ψ θ − − ψ and 2 , ψ ( → ψ 0 0 θ . 2 g ± θ + µ cos ψ χ θχ + θψ 2 W cos M µ D θ M 2 sin γ − m 2 ψ + 2 − + sin µ ψ ψ θ 0 0 Z θ 2 + sin M µ 2 1 θχ θψ γ is the lightest odd particle and hence constitute – 4 – = 750 GeV in the plane of sin = cos √ 2 ψ S 1 1 µ ψ g θ ψ θ M . The corresponding mass eigenstates are given by Z is dominated by the singlet component with a small M 2 + µ χ 1 = cos = cos γ = − ψ 1 tan 2 1 2 mass is required to be larger than 45 GeV in order not ,M ψ ψ ± ψ ψ ψ θ + + cos 2 µ is dominantly a doublet with a small admixture of singlet . = 750 GeV (Dashed blue), and 2 M ψ M W 2 − µ sin SH ψ ψ γ µ µ 1 D A ψ w = 125 GeV and θ − θ m h 2 ψ g µ sin M √ whose mass in terms of the masses of g 2 cos eγ ± ψ ⊃ ⊃ ⊃ γ Z W −L −L −L . Contours of = 10 GeV (Solid red), The fermions interact to the SM gauge bosons through the following interaction terms: SH µ is given by for zero mixing also gives rise to a mass splitting between admixture of doublet,component. while This implies that where we have assumed where the mixing angle is given by: in small mixing limit.the DM We of assume the that Universe. Note that to conflict with thecharged invisible fermion Z-boson decay width. In the physical spectrum we also have a Figure 1 θ In the limit of vanishing mixing in the dark sector, sin JCAP06(2016)010 ψ f (3.6) (3.1) (3.2) (3.4) (3.3) (3.5) as the All) = i µν → with mass W h S and . ) , µν and its subsequent ) B γγ , one can write down -odd fermion doublet S γγ L All) 2 → Z → → S h S , . = 125 GeV and Γ( Γ( Γ( Br. ( µν ψ · · h 2 B ) 3)fb and SU(2) g M 3)fb M S µν mixing to be zero and adopt an hS 2 ψ ± Y θ f π ± and the vector bosons by integrating h 4 3 fb, which is much smaller than the → SB 64 4 1 (10 (6 S − sin κ − pp = · ( ' ' S + ) 10 2 GeV for ) ) h k 6 − prod ≈ γγ γγ i,µν σ → ) 10 as [26]: → → and W ' – 5 – pp × γγ ψ i ( ) µν X X 4 ψ can be expressed in terms of Yukawa coupling ) using vector-like quarks. → through mixing with the SM Higgs 2 Y γγ 2 for production of scalar particle. However, one can M ≈ → → g SW 2 prod κ S γγ 2 ψ S σ π S → f κ pp pp ( ( → 32 ' → S ⊃ → and ) decays S = pp → 1 ( CMS γγ 1 gg κ S → σ EFT σ k pp ATLAS ( L → σ pp and ( S σ CMS / → gg 45 GeV as indicated by ATLAS data [2]. Within the SM, the decay , we term it as dark sector assisted decay. Defining ≈ pp → S ( σ ATLAS S and production of can be estimated to be σ All) , which can be parametrized as: can occur through the mixing with the SM Higgs, which can be given as: 4, we see that giving diphoton excess at LHC can not be possible through its mixing with the . 50 pb [157]. Thus with a maximal mixing between the SM Higgs and S, i.e. γγ γγ → 0 γγ S ≈ → γ γ S ≈ → is a singlet scalar, it can not directly couple to the gauge bosons. On the other hand, h S S hS In the following sub-section 3.3 we set the θ can couple to vector-like dark sector fermions which can couple to SM gauge bosons as Since the vector-like dark sectorto particles carry the no decay color charge of and hence, can not contribute The LHC search strategyaround for diphoton 750 GeV, events, is if mostly possibleparticle decided via to by a the scalar production resonance and subsequent decay of the resonant The above cross-section has to be compared with the experimental data where Γ( width: 3 Explanation for diphoton3.1 excess In absence ofdecay the to additional vector-like fermions, the production of where the effective couplings connecting scalar with vector-like fermion SM Higgs. 4 MeV. Thegiven total by production cross-section(sin of Higgs atrequired centre value of given mass inresonance energy eq. of (3.2). 13 TeV Therefore, is we conclude that the production ofalternative the scenario scalar for 3.2 Dark sector assisted the effective operators for couplingout between the the scalar vector-like fermions in the loop as: Since S discussed in the previous section. As the charged component of the respective field strength tensors for the gauge group U(1) assist the decay of JCAP06(2016)010 is ± (3.9) (3.8) (3.7) S ψ → gg mediated by γγ . 1 1 → ≥ ≤ # 3 S # W 2 S x 3 2 S 3 θ S M W θ M M 2 2 2 W Z S 2 2 S 2 2 Zγ WW 2 2 ZZ 2 tan M M M k M k i k 2 2 , tan 2 γγ 2 / iπ k / )] 1 − − γγ 2 2 S Z 1 ψ k 1 1 − − ) x M M to the framework discussed in the above ( 2 2 ψ 2 Z W S 2 3 W S S f x x ) + x − Q θ ) ) ( M M − − M M M ψ 1 2 ψ W 1 1 2 + 2 + 4 4 M / θ x x " " √ √ via gluon gluon fusion process as shown in the 1 2 γγ ( tan 2 − − − 2 k x x A − π π π S 1+ 1 / – 6 – 1 1 W 1 3 1 π 1 ψ √ 1 ψ θ tan 16 32 16 8 A 2 f via gluon fusion process by introducing additional M ln − and quark-like vector particles for ψ ψ of mass 2 ψ h , 0. The subsequent decay S f cos 2 M 4 1 ) = ) = ) = ) = Q (1 [1 + (1 2 ψ Q 2 S 2 2 γγ → − arcsin ψ 2 γγ 2 π π M Zγ x ZZ M e g WW WW 4    hS → WW 32 16 k k → θ → → = S S → = = = = S ) = ) = 2 S ψ x ψ S x Γ( ( Γ( γγ x Zγ Γ( ZZ ( f k k k WW Γ( 2 / k 1 A production can not be achieved through S-h mixing. As an alternative, we introduce an left-panel of figure2 even with section. The mainthe reason large for production introducing cross-section additional for quark-like scalar vector particle is to provide As discussed in section S ,3.1 we seeiso-singlet that quark-like vector the fermion required cross-section for the scalar resonance 3.3 Dark sector assisted The factors involved in eq. (3.8) are given by produce large cross-section for scalar where the effective couplings are given by]: [26 vector-like particle carrying colorsimilar charge, strategy for that example, will see begauge ref. discussed boson [29, in states66]. the the We next decay will sub-section. rates also After can adopt rotation be a to given the as: physical JCAP06(2016)010 . ψ 1, ± . f 0 ψ (3.11) (3.12) < hS θ , arising from gluon ) is given by: S . This coupling helps ) in the plane of 5 . The mass of these ) (3.10) gg > γγ γγ ¯ γ QQ γ → Q S → f → S Q f S = . S ) ψ ψ f ˆ sx ) (3.13) → )Br( / Q 3 2 S S gg x pp ( through gluon gluon fusion mediated by ( M M 2 · · · . From figure (3), we see that to get a ( → can be expressed in terms of the decay / σ being DM) 2 gg 1 g S Q ψ ) k S A 0( x γγ M c π γγ,gg 1 ( Γ( → 8 g N coupling to S can be given as = → hS gg θ Q x S S Q C ψ dx Q f ) = ˆ s M ˆ s with – 7 – M / S 2 to 1 S gg 2 S S 2 π S 1 M S M g is allowed. It may increase the total width depending through the exchange of Q in the loop is given by → 16 Z and via its mixing with the SM Higgs are suppressed in the limit 2 S hh ) = gg 8 Q = S π . Since the mass of the vector-like fermions are heavier f 4 Γ( to γγ gg to − = = k S does not affect the above result. S → to SM particles occurs via the triangle loop constituting ψ Associated Production gg f C S S hh S Q and its subsequent decay to SM particles mediated by the dark sector → → to g Production and Decay of Scalar gg Q g pp S ( = 2137 [6]. In eq. ( 3.10), the decay rate Γ( σ gg . The corresponding total decay width and branching fraction are shown C via gluon gluon fusion process. The production of scalar ¯ QQ ) as [6, 159]: ) is given by eq. (3.9). S gg x → by assuming that ( = 13 TeV is the centre of mass energy at which LHC is collecting data. The . The other decay modes of 2 / → ψ S . Feynman diagrams for production of scalar ˆ ± s 1 ψ S M = 13 TeV, √ A 0. ˆ s In figure (3), we have shown the contours of The Yukawa coupling of the scalar → √ hS production cross-section of 10 fb,vector-like we fermions need the are chosendecay of to be larger than 375 GeV in order tothan avoid 375 GeV, the the tree decay level of in figure (4) andbranching (5). fraction We see is that order the of total decay 10 width can be as large as 30 GeV, while the At where versus However, the tree level decay of on the mixing between SM Higgs and S. However, we have checked that for sin where where the effective coupling of the tree level decay of in producing gluon fusion process, andrate its Γ( subsequent decay to dimensionless coupling Figure 2 quark-like vector particle θ shown in right-panel ofimportant figure2. role We in note the that relic the density additional of vector-like quark DM also as plays we an shall discuss in section4. particle JCAP06(2016)010 , , Q 0 ψ ψ and M Q = M ψ M = and Higgs , ψ Q Z f M , = Q ) of the leptonic f ψ ± f ψ = through ψ for f ψ 10 10 hh 20 10 3 for M → ψ 1 M ψ 30 8 8 5 1 versus ψ ψ f versus odd particle, which is dominated by 1 and ψ 2 f 6 6 Z − 5 Ψ Ψ 10 W f f + W 4 4 – 8 – 0.5 , which are linear combination of the states 2 → 1 M 1 ψ 0.5 1 2 2 ) in the plane of ψ

γγ

H L H L of mass → which is the lightest 2 S All) (in GeV)in the plane of 0.001 ψ 1 900 800 700 600 500 400 900 800 700 600 500 400

→

1000 1000

Ψ Ψ M GeV M GeV S pp , constitutes the DM of the Universe. The relic density of the DM and ( 0 σ 1 χ M combine to explain the relic abundance of DM. As discussed in section2, 0 χ in the diphoton excess. Now we will show that the neutral component of of mass = 0. 1 . Contours of Γ( . Contours of ψ hS ψ . We assume that θ = 0. , and 0 0 χ hS ψ θ sin Figure 4 Figure 3 4 Relic density andIn direct the search previous constraints sections on we dark discussed matter the role of charged component ( and sin doublet i.e. we use and a singlet component is mainly dictated by annihilations JCAP06(2016)010 = θ (4.2) (4.1) . For ± ψ = 600 GeV. and Q 2 M ψ = 600 GeV. sin Q with M 1 = 5 and ψ Q f for , ψ ) in GeV) for f M 1 x 1 ( dx , M J 1 versus eff − |i 2 ψ v f x | PL GeV σ 9 h = 100 GeV while on the right panel we have set M 2 10 ∞ f 1 / – 9 – x 1 ? × M Z g − 09 . ) with DM mass ( 2 ) = 1 2 f h M x = ( ) in the plane of ≡ 2 J DM can be given by [164]. h γγ 1 Ω M ψ → S mediation. Due to the large couplings required to explain the observed S = 500 GeV. Red band indicates relic density within WMAP range. The region to 1 = 0. and the relic density diminishes significantly in those regions irrespective of the cases (from top to bottom) are depicted simultaneously in blue green and orange. On through M ) is given by Q } hS − f 3 θ . ¯ 2 x . Contours of Br ( . Variation of relic density (Ω M QQ 0 ( , M J ≥ 2 . → The relic density of the ≡ 0 1 , ) marks a significant departure through annihilations of the DMs to vector-like quarks, 1 ψ DM . M 1 0 Q details see ref. [160–163].( However, this particular model with additional vector like quarks ∆ the right side of vertical dotted line denotes compatibility withmediation. 750 GeV The diphoton other relevant excess. channels are mainly co-annihilation of other parameters. { ψ diphoton excess, the annihilationsM to vector like quarks dominate over the others whenever Figure 6 the left panel we have taken ∆ We set sin where Figure 5 JCAP06(2016)010 1 − ψ ψ (4.3) and 2 ψ , 1 ψ ∆) = 400 GeV (left) and x = 100 GeV. Red band Q − 1 ( M = 600 GeV. M Q exp − 2 M . / 2 3 . ∆) M ∆) ∆) x M x ∆) x ≡ 2 − 2 x ( in GeV) for 2 − − 1 ( M ( − ( exp )(1 + ∆) M 2 2 exp / exp ψ 3 3 3 exp 1 3 ψ ( σ 2 g 2 eff 1 g )(1 + ∆) )(1 + ∆) – 10 – g )(1 + ∆) cases (from top to bottom) are depicted simultaneously − − )(1 + ∆) − is the freeze out temperature. ∆ depicts the mass } 2 ψ ψ ψ 3 2 1 f ψ . are the spin degrees of freedom for − 2 0 T ) + 2 ψ ψ ) with DM mass ( , ( ( 2 1 ψ ψ 3 2 ( ( h σ σ . ψ g 0 σ σ 1 3 3 , g g 3 2 ψ 2 2 eff eff 1 2 1 g g ( . 2 2 g g eff eff g g 3 2 0 σ g g and g g { , where 2 1 1 2 eff f 2 g = + + + 2 + 2 T g g M , θ 1 = g = f eff . Same as figure6, but with all possible ∆ x |i v | σ h is the thermal average of DM annihilation cross sections including contribu- Figure 8 eff |i v | . Variation of relic density (Ω σ h 2000 GeV (right). sin > Q M indicates relic density withindenotes the compatibility WMAP with 750 range. GeV excess. The region to the right side of vertical dotted line In the aboverespectively. equation Since these are spin half particles, all g’s are 2. The freeze-out epoch of where is parameterized by tions from co annihilations as follows: Figure 7 in blue green and orange. On both panels we have taken ∆ JCAP06(2016)010 . ≤ to S 2 S h (4.8) (4.7) (4.4) (4.5) (4.6) DM Ω , in blue, } ≤ 3 . 0 = 100 GeV to , . The effective 1 112 2 . . . ± 0 M ψ , 1 − ∆) . 2 x 0 { 1 − and M = 100 GeV (left panel) ( . 2 = 1 ψ exp θ M = 5 2 / Q 3 − f 2 ), the couplings of the vector-like ) due to the annihilation of DMs = M S . ψ ψ f M , f (1 + ∆) 130 3 . . g . 0 Q and those of the vector like quarks to 2 ≤ , f S ψ 2 ,M ∆) + mediation: 1 h 2000 GeV (right) with , f x S Q > − DM = 600 GeV ( – 11 – θ, M stands for the mass of Q Ω odd vector-like fermions, is mainly dictated by the Q ,M i S 2 M ≤ exp sin 2 M Z ,M M / 600 GeV, we need even larger couplings to explain the ), the scalar mass ( 3 to the dark sector ( = 600 GeV. It is clearly seen that the relic density drops 094 Q > . ) through S Q 0 M Q M ) at the scale of the experiment, this will be driven towards ¯ DM satisfying WMAP [165] constraint QQ M π , where 1 (1 + ∆) 4 1 2 → ψ M 1 = 750 GeV g < 1 − M i S ψ Q , we can not get the observed relic abundance while simultaneously 1 M in eq. (4.3) is given by 1 + M Q ψ , f g ψ eff f = g = 400 GeV (left) and > M eff Q ) and coupling of 1 g Q M M f ( S The parameter space scan presented in this framework have been generated in the code An interesting DM phenomenology is likely to evolve with an arbitrary variation of these The dark-sector, spanned by the A notable set of parameters that also crucially controls the allowed DM parameter space The range we use corresponds to the WMAP results; the PLANCK constraints 0 1 128 [166], though more stringent, do not lead to significant changes in the allowed regions of parameter space. . MicrOmegas [167], after implementing ourchanges DM with model. DM In mass6, figure we for show different how choices relic density of mixing angle sin non-perturbative regime through RGEissue at is out relatively of low the scales. scope Detailed of this discussion draft. on this Note that vector-like quark masses lightersearches than 600 at GeV collider are strongly]. [158 constrainedobserved by diphoton For the excess. direct We noteperturbative here limit although ( the large couplings required are within the 0 parameters depending onHowever, which given this that one particular ofin annihilation the the primary following channel goals scans compete we ofto choose this with a explain model set others. the is of collider to specific explain values signature, for the as: these diphoton parameters, excess, that are required degrees of freedom and 500 GeV (right panel)significantly with for DM masssection larger to than those the become vector very like large quark with masses very as large the couplings annihilation through cross- the scalar resonance splitting ratio as ∆ = following three parameters: green and orange respectively with fixed mass difference In the followingcorrect we relic shall abundance vary for the parameters in eq. (4.5) and find the allowed region of To remind, we choose the couplings of both DM to are the vector like quark masses ( quarks to to vector like quarks ( be 5 here for simplicityare and shown from for the requirement ofshow diphoton the excess. dependence In of figure7, thefor similar vector plots DM like mass quark masses on relic density. Thus we conclude that JCAP06(2016)010 , . 2 3, Q Q / . etc, 0 S 15), M . 0 ≥ < M − θ > M 1 1 . 1 hS, SS = 600 GeV is M 1 but with a = 0 . < M (right). With scan for correct Q 1200 GeV and upto 450 GeV. θ 2 } 1 M / 1 = 0 − and for the same S M M - θ M 1 ∆ M for two fixed set of M , M 1 θ for : 375 − M 2 1 { M M M and always yields a low relic 1), purple (sin = . . So for a given choice of 0 − mediation. We show the spin- S M − W h is allowed while the larger ones are + (left) and 05 . } θ W 2 and = 0 → 25) regions are shown respectively from θ ,M Z . 1 1 0 , in blue, green and orange respectively in ψ } M 1 − 3 { . ψ 2 0 2 in Blue and Green respectively. . . , 0 2 – 12 – . , 1 0 = 0 . , 1 θ . = 0 0 { θ in terms of DM by taking its mass range } = = 600 GeV can yield correct relic density. It is also worthy 2 . 1 θ 0 Q ψ and the annihilation to vector-like quark pair dominates over , 1 (in GeV) scan for correct relic density. Right: ∆ S in figure 11 . Green (sin . ), can yield required cross-section for correct density giving the 0 2 } { < M M M 25 is smaller than required to satisfy relic density. Hence, coannihilation 1 . < M = 2) and red (sin 0 . M Z θ Q 0 − 2 (shown in Green points), annihilation cross-section itself (with larger . M versus − 05 GeV in figure 10. We see that a moderately large region of the parameter = 600 GeV. In all these plots, Figs6), ( (7), (8), the region to the right side . 1 } 0 15 = 0 Q { M . θ M 500 = , = 0 θ is required to satisfy the relic abundance with smaller ∆ 1 (shown in Blue points in figure9), due to small doublet fraction in the DM, the θ . . Left: 100 2 { M Direct detection of this DM occurs through We have also demonstrated the variation of DM mass with sin = 0 = , which in turn enhance the Yukawa coupling) and annihilation plus coannihilation with θ M M relic density. Both arechosen obtained for for illustration. sin The750 GeV region excess. to the right side of vertical dotted line denotes compatibilityexplaining with the diphoton excessis which required needs to large coupling. prevent the On tree-level the decay other of hand, the resonance choices of the mixing angle sin While for sin ∆ smaller mass splitting (∆ allowed parameter space a funnel shape. Similar shape is obtained for sin the others whenever they are kinematically allowed. annihilations through with the allowed values of DMWe mass then that find can the yield allowedrelic the parameter density correct space with relic within DM density this mass is mass for range. all possible We show mass the splitting variation ∆ in sin larger DM mass. ∆ space upto DM mass to mention that there arewhich other doesn’t possible affect annihilations of theas the phenomenology we DM, of have for obtaining chosen example, correct to relic density to a great extent lilac (sin Figure 9 figure8 with bottom to top. It clearly shows that lower values of sin of vertical dotted line denotes compatibility with 750 GeV excess. We see that for sin independent cross-section for varying sin it is almost impossiblelarge to mixing satisfy the leads relic to density a constraint. larger This cross-section is of due to the fact that the abundance. Therefore, inrelic figure9, density using we sin have shown the allowed parameter space for correct JCAP06(2016)010 2) and red . 0 − 15 . ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ around an invariant ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● 1200 ◆ ◆ ◆ ◆ ◆ ◆ = 0 having mass around ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ = 100 GeV and Green: θ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● S ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ γγ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● XENON1T ◆ ◆ ◆ ◆ ◆ ◆ LUX ■ ■ ■ ■ ■ ■ XENON100 ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ M ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● → ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● S ◆ ◆ ◆ ◆ ◆ ◆ DM as a function of its mass. ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● 1000 ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ 1 ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ → ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ψ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ pp ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ 15), lilac (sin ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ . ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ 0 ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ 800 ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ − ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ 1 ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ . ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ = 0 ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ [��] ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ θ 600 ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ � ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ and a dark sector constituted by a vector-like ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ � ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● – 13 – ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● Q ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ . We argue that the extra particles added in this ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ 0 ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ χ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ 400 ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ ■ ■ ■ ■ ■ ■ ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ◆ ◆ ◆ ◆ ◆ ◆ 1), purple (sin . 0 15 is allowed by LUX data which also coincides with correct . − 0 200 scan for correct relic density. Purple: ∆ 05 ≤ . 1 θ M = 0 0 θ = 600 GeV is chosen for illustration purpose. The region to the right side of

-45 -46 -47 -41 -42 -43 -44

and a neutral singlet

1 1 versus 10 →ψ + ψ + n n σ [ ] M Log θ ψ 25) regions are shown respectively from bottom to top. . 0 − . sin . Spin independent direct detection cross-section for 2 . = 0 = 500 GeV. θ M framework are minimal when we explain diphoton excess signal and DM component of the lepton doublet (sin relic density search. 5 Conclusions We have illustrated how themass recent of diphoton excess 750 signal GeVconsidered can is be a accounted simple750 by extension GeV, a of an Dark SM with iso-singlet sector additional assisted vector-like scalar quark scalar singlet decay. The framework discarded. Together, sin Figure 11 ∆ Constraints from XENON 100,thick LUX lines. data Green and (sin predictions at XENON 1T for the DM are shown in Figure 10 vertical dotted line denotes compatibility with 750 GeV diphoton excess. JCAP06(2016)010 ) 1 M Phys. , , 02 pp Phys. Rev. Phys. Lett. , of (2016) 126 , 1 JHEP − , fb 2 . B 756 (2016) 144 3 ]. ]. 03 , talk given at CERN, SPIRE GeV singlet IN SPIRE JHEP ][ IN Phys. Lett. 750 [ , , ]. GeV diphoton excess ]. GeV? 750 SPIRE IN is heavy, it evades constraints coming 750 , ATLAS-CONF-2015-081 (2015). On a possible large width 750 GeV ][ SPIRE ψ (1948) 207. ]. IN ][ 60 arXiv:1512.04929 Scenarii for interpretations of the LHC diphoton SPIRE Knocking on new physics’ door with a scalar arXiv:1512.05778 The LHC diphoton resonance and dark matter ]. Phenomenology of a IN – 14 – , ][ resonance at and the mixing in the dark sector require to be small γγ SPIRE GeV dark pion: cousin of a dark G-parity odd WIMP IN Q (2016) 116[ ][ arXiv:1512.04913 ]. ]. Composite models for the < M arXiv:1512.05779 , CMS-PAS-EXO-15-004 (2015). 1 C 76 SPIRE SPIRE ATLAS and CMS physics results from Run 2 Search for resonances decaying to photon pairs in What is the IN IN TeV TeV with the ATLAS detector Search for new physics in high mass diphoton events in proton-proton < M ][ ][ arXiv:1512.04850 (2016) 426[ 2 Dokl. Akad. Nauk Ser. Fiz. / = 13 = 13 , S s s Particle physics after the Higgs boson discovery: opportunities for the Large M √ √ arXiv:1512.05777 Selection rules for the dematerialization of a particle into two photons B 755 (2016) 076009[ Eur. Phys. J. , (2016) 151[ can be searched at LHC. In particular, if the singlet-doublet mixing is very small (1950) 242. D 93 1 from direct search constraints. Since ± . 0 ψ ) then the charged partner of the DM, which assist for diphoton excess, can give rise 5 arXiv:1512.04933 arXiv:1512.04921 diphoton resonance at ATLAS and CMS B 754 (2016) 152[ resonance Rev. Phys. Lett. excess: two Higgs doublets and vector-like quarks and leptons [ [ collisions at D 77 Hadron Collider December 15, (2015). collisions at − ≤ 2 = 375 GeV. We found that correct relic density can be obtained for DM mass ( / 10 θ [9] K. Harigaya and Y. Nomura, [7] A. Angelescu, A. Djouadi and G. Moreau, [8] Y. Mambrini, G. Arcadi and A. Djouadi, [6] R. Franceschini et al., [3] CMS Collaboration, [4] L.D. Landau, [5] C.N. Yang, [2] ATLAS collaboration, [1] J. Olsen and M. Kado, S [12] D. Aloni, K. Blum, A. Dery, A. Efrati[13] and Y.A. Nir, Falkowski, O. Slone and T. Volansky, [10] D. Buttazzo, A. Greljo and D. Marzocca, [11] Y. Bai, J. Berger and R. Lu, 750 ∼ Universe. We note that theM masses of the new particleswithin added the are range: below TeV scale, but above sin from oblique corrections [168].partner The DM( remains elusive ata collider. displaced vertex However, signature its [160]. charged Acknowledgments The work of SBGuwahati. is partially The supported workSB/S2/HEP-011/2013. by of Narendra DST Sahu SP INSPIRE is grantand is partially no Technology, partly Govt. supported PHY/P/SUB/01 of supported by at India the by IIT under Department DST, of the Science financial India Grant under SR/FTP/PS-209/2011. References the financial grant JCAP06(2016)010 , , , , , ]. D 93 D 93 (2016) ]. Phys. 04 , SPIRE ]. IN SPIRE ]. ][ IN JHEP Phys. Rev. ][ Phys. Rev. , , GeV diphoton , SPIRE ]. SPIRE GeV at the LHC IN GeV diphoton excess IN ]. 750 ][ ][ GeV from a radion in 750 750 SPIRE IN GeV scalar boson in an 750 [ SPIRE GeV diphoton resonance in a Experimental considerations ]. 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