PoS(FPCP2015)088 grand uni- A http://pos.sissa.it/ ) 1 ( U × SUSY GUT F ) gauge symmetries. A 2 ( A ) ) 1 1 SU ( ( × U 6 U E × F ) 2 ( SU flavor and anomalous × F ) 6 2 ( E SU † ∗ SUSY GUT with 6 E [email protected] Speaker. This talk is based on the work in collaboration with N. Maekawa and Y. Muramatsu. The work is now in progress. We show chromo-electric dipole moment (CEDM) constraintfied in theory (GUT). In general, downfor quark up CEDM quark decouples CEDM, in there large is sfermionand non-decoupling mass effects up-squark limit, caused while sectors by are stop complex loop.GeV at Therefore, Higgs if GUT mass, up-quark scale up and quark stop CEDMpersymmetric (SUSY) is mass GUT enhanced model. is and However, light in become this in model, oneSU(5) although order of 10 the to the mass representation of realize strong sfermion third constraint 125 generation is for lightersuppressed su- than because that real up-quark of and the up-squark othersaw sectors that sfermions, up at up and GUT quark down scale CEDM quark can is CEDMexperiments be satisfy in also current constraints obtained. and We may be some signals in future ∗ † Copyright owned by the author(s) under the terms of the Creative Commons c Flavor Physics & CP Violation 2015 May 25-29, 2015 Nagoya, Japan ⃝ Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0). Yoshihiro SHIGEKAMI Department of Physics, Nagoya University, Nagoya 464-8602, Japan E-mail: CEDM constraints in model PoS(FPCP2015)088 × F ) (2.1) (2.2) ] and 2 1 ( , as like SU 27 . Three of ) × s become the 5 6 ]. This model ¯ ( 5 2 E SU ] notation) as s of Yoshihiro SHIGEKAMI V denote the matter fields ¯ 5 . ) ] family symmetry[ 3 1 ′ 0 ( Ψ 1 F    [ ) U ′ 4 2 0 2 1 ( × m and ) a 2 0 5 ] + SU ( ′ 2 m Ψ ¯ 5 contain six 2 0 SU 6 + m E 2 ⊃ −    ) 5 , where [ ∼ 2 2 10 s of | ( 0 − 3 ¯ 2 5 coefficients. Moreover, in this model, we can are introduced as matters. This is decomposed 27 ˜ Ψ 10 m 6 ) SO | 2 3 1 E 2 ( m ] + , O 5 + 1    2 | 2 3 + a m 3 SUSY GUT model Ψ − | 2 0 ¯ A 5 2 0 ) m , mainly come from the first two generations of 1 m + 0 i ( 2 0 ¯ 5 1 ∋ U m 10 , respectively. × SB [    F 1 V F ) ) notation (and in the [ 2 ∼ 2 16 ′ ( SUSY GUT model ( fundamental fields of V 2 10 ) = A ˜ SU ) 1 SU m . Then, we can obtain the natural SUSY-type sfermion mass spectrum 27 ( 1 ) ], CEDM in this model was computed but the situation has changed because 27 × ( 2 3 gauge symmetry, we can obtain more attractive GUT model[ U 6 ¯ 5 A U , E × ) ′ 1 ) ¯ 1 5 × ( , F 1 10 U ¯ ) ( 5 supersymmetric (SUSY) GUT is considered with ( 2 ( 6 SO ∼ E ) ⊃ SU 0 3 6 ¯ 5 s become superheavy through the superpotential, and the remaining three of SUSY GUT model in the new situation. We will conclude that up and down quark CEDM × , E ¯ 5 0 2 A 6 In previous work[ Because of this spectrum, stop can be light in order to realize 125 GeV Higgs mass. In that In this model, three If the Grand unified theory (GUT) can unify not only three Standard Model (SM) gauge couplings ¯ 5 ) E , 1 0 1 ( ¯ 5 ( these SM modes. These modes, denote of doublet and singlet of from SUSY breaking potential This decomposition says that three generations of 2. can solve doublet-triplet splitting problem in aallowed natural assumption by that the all symmetry the interactions are which introduced are with in the case, the SUSY contributionsdecoupled, to and therefore, the if up up-quark and quarkbecome up-squark chromo-electric sectors one are dipole of complex moment the at GUT (CEDM)up-squark strong scale, sectors are constraint the at CEDM for not GUT scale that canenergy model. be by obtained. the However, Hence, renormalization in although group these equation thissuppressed sectors (RGE), model, enough are we for complex expected real at that satisfying up-quark low the current CEDM bound. and of this model is of 125 GeV Higgs observation. So, we compute the up and down quark CEDM in obtain the natural SUSY-type sfermion massneutral spectrum current (FCNC) which and suppress stabilize the the SUSY weak flavor-changing scale at the same time. into a single one butsupports also for matter fields both into unifications. aunification. few One The multiplets. former is is Furthermore, for quantitative consistency there gauge betweenand are experimental coupling the and experimental latter theoretical unification couplings, is and qualitative the explanation of other various is hierarchies of for matters matter and mixings. CEDM constraints in 1. Introduction the anomalous satisfy current bound in this model and there may be some signals in future experiments. U PoS(FPCP2015)088 F ) µν A 2 G ( (3.1) (3.2) (2.3) ], is off- 4 ) SU and LR ) , 3 ( at GUT scale RR , u SU Y LL = Yoshihiro SHIGEKAMI . We can estimate this ΓΓ 1 ( are forbidden by ΓΓ 3 ) . Ψ u i j 1 ∆ cm ( Ψ e . , , 27 C u are generators of q d − and    ) 5 are 0. This structure is good not only 1 γ 8 2 10 ) , u is real at GUT scale, so that we must (middle four plots) and this model (left 0 a Ψ λ Y G 1 × b u u · ··· 6 Y Y Ψ , 5 σ 1 2 4 λ ( < s q λ λ | = d c b C d ¯ qg 1 3 d A i | 2 ( is gluino and stop mass, respectively. Note that 5 3 A C q ˜ TeV in order to realize 125 GeV Higgs mass, so t λ d T , q m ) 0 0 d , 1 q ] ∑ 3 1 ( components of cm ν . In this figure, for comparison, we plot three type of ) γ 2 O − − and e SUSY GUT model , 1 ˜ g , 27 µ is A =    3 ) γ − M [ ( 3 1 i = 2 ( 10 m coefficients which are introduced by the natural assumption of (right four plots), real u U = × and Y u CEDM ) × Y 1 coefficients generated randomly within the interval 0.5 to 1.5 with 6 ) L ( F 3 µν ) ) , < , where O 1 2 σ ˜ 1 g ˜ 2 t | ( ( in this model is real at GUT scale, ( , m M C u , u O is complex at GUT scale. However, in this model, real is the Cabibbo angle. Note that s d ) SU π Y | µν A α up-type squark mass matrix. This contribution doesn’t decouple. 4 1 u , × G 6 , this is not decoupled. Therefore, CEDM become strong constraints for Y 22 1 has . 6 A 3 ( are real 0 × E u T m q 6 Y ∼ d TeV. Also, we use one-loop RGEs for getting low energy parameters from input µν ≫ ) λ σ 0 10 and = m ( c One example of SUSY contribution to up-type CEDM, , O G becomes complex by the RGE effects even if · b , is u σ a Y 0 In this talk, we consider that CEDM lagrangian is Also, specific Yukawa structure is obtained from superpotential in this model. Especially, m diagonal element of four plots). These is obtained, so we expectscale, that CEDM constraint for thischeck model whether the is CEDM suppressed. calculated in Actually, this at model SUSY satisfy the current experimental bounds[ inputs at GUT scale: imaginary diagram roughly to be in the limit SUSY GUT model if that Figure 1: this model, and symmetry, therefore where is field strength of gluon. SUSY contribution to CEDM is shown in Fig. parameters. The result is shown in Fig. 3. CEDM constraints and result up-type Yukawa matrix, where CEDM constraints in for getting realistic up-type quark mass spectrum, but also for satisfying the CEDM constraint. PoS(FPCP2015)088 , 1 u Y − TeV, = 1 0 = A 2 / Phys. Lett. 1 , 101601 , M TeV, 102 1 ) and black dashed = 2 / 3.2 Yoshihiro SHIGEKAMI 1 M symmetry for supersymmetric Phys. Rev. Lett. ) , 1 , 659 (2009) [arXiv:0901.3400 ( Hg U 122 199 at low energy scale and 7 = at GUT scale. So, we can conclude that up CEDM constraints on modified sfermion β u value as 5 TeV (red), 10 TeV (blue), 20 TeV Y tan 0 SUSY GUT model, up and down quark CEDM value as 5 TeV (red), 10 TeV (blue), 20 TeV (green) , CEDM values of this model is smaller than the m at low energy scale and A 4 2 0 ) 7 m 1 ( Prog. Theor. Phys. = , U β × SUSY GUT model F tan A ) ) 2 1 ( ( , 273 (2003) [hep-ph/0212141]. U SU 561 × × F Gauged SO(3) family symmetry and squark mass degeneracy ) 6 2 E ( GeV at GUT scale. Right, middle and left four plots correspond to imaginary SU × 6 500 Phys. Lett. B E , = GeV at GUT scale and we set Non-Abelian horizontal symmetry and anomalous µ 500 of this model at GUT scale. We set u = Y , 87 (1996) [hep-ph/9606384]. Up and down quark CEDM plots. We use µ TeV and signs. For each input, we use 387 1 and − u − B flavor problem, (2009). universality and spontaneous CP violation W. C. Griffith, M. D. Swallows,Improved T. Limit H. on Loftus, the M. Permanent V. Romalis, Electric B. Dipose R. Moment Heckel of and E. N. Fortson, K. S. Babu and S. M. Barr, N. Maekawa, M. Ishiduki, S. -G. Kim, N. Maekawa and K. Sakurai, [hep-ph]]. We have shown that in Y = or 0 [2] [3] [4] [1] TeV and satisfy the current bounds.iments. Moreover, we However, there found are that somewhether there 125 considerations may GeV that be Higgs we some mass ignore signalsof is here. CEDMs, really in we obtained. future Especially, must exper- Of it consider course, two-loop is RGE in non-trivial to order get to low obtain energy more parameters. References precise value A real and 40 TeV (orange). Black solid line is current bounds and dashed line is expected future bounds. (green) and 40 TeV (orange). Blacklines solid lines are show the the expected current future bounds bounds.other Eq. ( two From situations Fig. because of specificand structure down of quark CEDM ofsome this signals model in satisfy future the experiments. current bounds. And furthermore, these may4. be Summary and discussion + Figure 2: CEDM constraints in