Hadronic EDMs in SUSY GUTs

Mitsuru Kakizaki (ICRR, Univ. of Tokyo) Jun. 2, 2005 @ Gyeongju Refs.:  J. Hisano, M. K., M. Nagai and Y. Shimizu, ’’Hadronic EDMs in SUSY SU(5) GUTs with right-handed neutrinos,’’ PLB 604, 216 (2004) [hep-ph/0407169]  J. Hisano, M. K. and M. Nagai, “ Hadronic EDM Constraints on Orbifold GUTs,” hep-ph/0505234 We investigate hadronic EDMs induced by CP violating squark mixings June 2, 2005 Mitsuru Kakizaki 1

1. Motivation

GUTs:  Unification of quark and lepton flavor SUSY SM with soft breaking terms:  Severe constraints on parameters  Detectable FCNC and CP violation SUSY GUTs: Well motivated by gauge coupling unification  Unification of mass matrices of squarks and sleptons By investigating correlations between hadronic and leptonic observables, we can probe structure of SUSY GUTs Attention to K, B physics, LFV decays and EDMs June 2, 2005 Mitsuru Kakizaki 2

 Hadronic EDM experiments severely constrain CP violating squark generation mixing in SUSY models Constraint on CP asymmetry in B meson system [Hisano,Shimizu(2003,2004)] Purpose of this talk:  Investigation of hadronic EDMs in SUSY GUT models  SUSY SU(5) GUT with right-handed neutrinos (with minimal SUGRA boundary condition)  Five-dimensional SU(5) orbifold GUT June 2, 2005 Mitsuru Kakizaki 3

Contents

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Motivation Constraints from hadronic EDMs Hadronic EDMs in SUSY SU(5) GUTs with right-handed neutrinos Hadronic EDM constraints on orbifold GUTs Summary June 2, 2005 Mitsuru Kakizaki 4

2. Constraints from hadronic EDMs

 Electric dipole moments (EDMs): T-odd observables KM phase does not induce detectable EDMs EDMs are sensitive to physics beyond SM  CP violation at dimension five level:  Quark CEDMs Quark EDMs Quark CEDM contributions to EDMs of neutron and 199 Hg atom: [Hisano,Shimizu(2003,2004)] Current upper bounds:  Quark EDM contributions to are comparable to those from June 2, 2005 Mitsuru Kakizaki 5

SUSY contributions to CEDMs

 CP violating off-diagonal elements in squark mass matrices induce CEDMs: CEDMs are enhanced by heavier quark masses due to chirality flip nature Stringent constraints on products of LL and RR mixings: June 2, 2005 Mitsuru Kakizaki 6

3. Hadronic EDMs in SUSY SU(5) GUTs with right-handed neutrinos

 CKM mixings  Neutrino mixings Left-handed sdown mixings SU(5) Right-handed slepton mixings Left-handed slepton mixings SU(5) Right-handed sdown mixings  Both left- and right-handed sfermion mixings are induced Relative phases come from GUT CP phases Hadronic and leptonic EDMs June 2, 2005 Mitsuru Kakizaki 7

CEDM in SUSY SU(5) GUT with right-handed neutrinos Strange quark CEDM Down quark CEDM Deutron EDM (Future) Deutron EDM (Future) Right-handed tau neutrino mass  Maximal CP phase,  Null result of neutron EDM experiments already constrains mass of right-handed tau neutrino:  Future EDM experiment is sensitive to small region June 2, 2005 Mitsuru Kakizaki 8

Hadronic EDM vs other observables

 LL mixings are inevitably arise due to top Yukawa coupling and CKM mixings Hadronic EDM experiments severely constrain CP asym. in from RR sdown mixing is suppressed [Hisano,Shimizu(2003,2004)]  SU(5) GUT relation: [Hisano,Shimizu(2003); Ciuchini,Masiero,Silvestrini,Vempati,Vives(2003)]  Branching ratios for LFV tau decays:  Muon EDM:  c.f. Current upper bounds: June 2, 2005 Mitsuru Kakizaki 9

4. Hadronic EDM constraints on orbifold GUTs

 Boundary conditions in extra dimension GUT, SUSY [Hall,Nomura, PRD66,075004(2002)] Spacetime: SU(5) brane SU(5) bulk SM brane Gauge multiplet Higgs mutiplets Gauge multiplets Higgs doublets in MSSM   Realization of light Higgs doublets and heavy Higgs triplets Gauge coupling unification  Suppression of proton decay  Fermion mass hierarchy via volume suppression  Unification of bottom and tau mass  Soft SUSY terms only for bulk fields FCNC suppression June 2, 2005 Mitsuru Kakizaki 10

Sfermion mixings in orbifold GUT

 Bulk fields are responsible for fermion mass hierarchy and SUSY parameters: Zero modes of Zero modes of Sfermion flavor mixings arise at tree level for 10-plets: Dangerous up quark CEDM and LFV from RR slepton mixings  c.f. Minimal SUSY SU(5) GUT with mSUGRA boundary condition Sfermion flavor mixings are loop-suppressed: June 2, 2005 for Mitsuru Kakizaki 11

Up quark CEDM and in orbifold GUT

Up quark CEDM Neutron EDM Branching ratio for Hg EDM Deutron EDM (Future) MEG (Future)  Maximal CP phase,  Marginal CEDM of up quark is induced as well as LFV decays June 2, 2005 Mitsuru Kakizaki 12

5. Summary

 EDMs depend on flavor violating mass parameters via internal lines  We can probe SUSY GUT models by investigating correlations between hadronic EDMs and other obervables  SU(5) SUSY GUTs with right-handed neutrinos:  Orbifold GUTs: Marginal CEDM of up quark is induced as well as LFV decays from RR slepton mixings June 2, 2005 Mitsuru Kakizaki 13

Backup slides

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High energy SUSY breaking scenarios

 Existanse of large top Yukawa coupling and CKM matrix Sdown LL mixings inevitably arise due to RG effects: EDM experiments constrain sdown RR mixings practically: c.f.

Severe constraints on CP violating 1-3 and 2-3 mixings in sdown RR sector June 2, 2005 Mitsuru Kakizaki 15

Supersymmetric standard model and SUSY flavor problem  Supersymmetry (SUSY): e.g. Quark Gaugino Fermion boson Squark Gauge boson Hierarchy problem is solved  Superparticles are not discovered SUSY must be broken (Soft) SUSY breaking terms are necessary e.g. Soft sfermion mass terms: Generation  Arbitrary sfermion masses and mixings would induce unacceptably large FCNC processes (SUSY flavor problem) Severe constraints: e.g.

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Branching ratios for LFV decays in SUSY SU(5) GUT with right-handed neutrinos Future Future (MEG) Right-handed tau neutrino mass  By investigating correlations between results of hadronic EDM and LFV searches, we can probe structure in SUSY GUT models June 2, 2005 Mitsuru Kakizaki 17

Loopholes

 There are uncertainties of estimates of hadronic EDMs originated from hadronic physics  CP violating parameters may be extremely small in theory beyond the SM  Various CP violating contributions may be accidentally canceled out June 2, 2005 Mitsuru Kakizaki 18

SUSY GUTs with right-handed neutrinos

 Three gauge coupling constants are unified at high energy scale in presence of superparticles with masses of order of SUSY GUTs are inspired  Tiny neutrino masses Seesaw mechanism is inspired  SUSY GUTs with right-handed neutrinos are very promising as theory beyond SM June 2, 2005 Mitsuru Kakizaki 19

Flavor structure

 Quark and lepton superfields:  Superpotential: Quark mixing (CKM) matrix Lepton mixing (MNS) matrix GUT phases (independent of CKM phase June 2, 2005 Mitsuru Kakizaki 20

199

Hg atom EDM

 CP violating interaction: T violating nuclear force: Interaction between nuclear and electron: Spin of nuclear EDM of 199 Hg atom June 2, 2005 Mitsuru Kakizaki 21

vs CP asymmetry for [Hisano, Shimizu(2003,2004)]  Consider case when CP violation is originated only from Belle(2004) BaBar(2004) Neutron EDM bound suggest no deviation of CP asymmetry for from SM prediction SM [From Hisano, Shimizu(2004)]  Sizable deviation should come from [Endo, Mishima, Yamaguchi(2004)] June 2, 2005 Mitsuru Kakizaki 22

Chromoelectric dipole moment (CEDM)

 CEDM of quark is defined as CP and T violation  EDMs of atoms and neutron are induced by CEDMs of light quarks June 2, 2005 Mitsuru Kakizaki 23

Estimates of hadronic EDMs

 Neutron EDM: CP violation [Hisano—Shimizu(2003,2004)]  EDM of Hg atom: T-violating nuclear force June 2, 2005 mixing CP violation Mitsuru Kakizaki [Hisano—Shimizu(2003,2004)] 24

Charged lepton flavor violation (LFV) in SUSY seesaw model

 Observation of neutrino oscillations Lepton mixing matrix ： Flavor changing right-handed neutrino Yukawa coupling  Slepton generation mixings are induced by radiative corrections: LFV: June 2, 2005 [Borzumati, Masiero(1986)] may be detected in foreseeable future Mitsuru Kakizaki 25

Constraints on squark flavor mixing

[Hisano,Shimizu(2003,2004)]  Current upper bounds from neutron and Hg EDM experiments: Constraints on CEDMs of quarks from neutron (Hg): Constraints on squark flavor mixings from neutron (Hg):  We assume no cancellation among various contributions June 2, 2005 Mitsuru Kakizaki 26

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Flavor structure in orbifold GUT

in SUSY SM arise from different bulk multiplets: in SM are zero modes of in SM are zero modes of  Yukawa couplings leading to up-type quark masses: SU(5) GUT in 4-dimensional viewpoint is not manifest and thus is not symmetric June 2, 2005 Mitsuru Kakizaki 27

3. Hadronic EDMs in SUSY SU(5) GUTs with right-handed neutrinos

 SU(5): GUT CP phases SU(5) Large neutrino Yukawa couplings induce sizable generation mixings in right-handed sdown sector, which are related to left-handed slepton mass matrix: [Moroi(2000)] June 2, 2005 Mitsuru Kakizaki 28

Deutron EDM experiment

[Semertzidis et al, hep-ex/0308063]  Sensitivity:  Candidates: BNL, IUCF, KVI June 2, 2005 Mitsuru Kakizaki 29