Hadronic EDMs in SUSY GUTs Mitsuru Kakizaki (ICRR, Univ. of Tokyo) Feb. 15, 2005 @ Sendai 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,”　in preparation We investigate effects and constraints of hadronic EDMs on SUSY GUT models February 15, 2005 Mitsuru Kakizaki

1. Motivation SUSY SM with soft breaking terms: GUTs: Severe constraints on parameters Detectable FCNC and CP violation GUTs: Unification of quark and lepton flavor SUSY GUTs: Well motivated by gauge coupling unification Unification of mass matrices of squarks and sleptons By investigating phenomena in hadron sector we can make predictions in lepton sector, and vice versa SUSY GUTs are probed with K, B physics, LFV decays and EDMs February 15, 2005 Mitsuru Kakizaki

SUSY models can be distinguished by hadronic EDM searches Recently Hisano and Shimizu pointed out that hadronic EDM experiments severely constrain CP violating squark generation mixing in SUSY models CP structure for B meson is affected [Hisano,Shimizu(2003,2004)] Purpose of this talk: Investigation of effects and constraints of hadronic EDMs on SUSY GUT models SU(5) SUSY GUT with right-handed neutrino (with mSUGRA boundary condition) Five-dimensional orbifold GUT (Hall and Nomura model) February 15, 2005 Mitsuru Kakizaki

Contents New New Motivation Constraints from hadronic EDMs Hadronic EDMs in SUSY SU(5) GUTs with right-handed neutrinos Hadronic EDM constraints on orbifold GUTs Summary New New February 15, 2005 Mitsuru Kakizaki

2. Constraints from hadronic EDMs CEDM of quark : CP and T violation CP violating off-diagonal elements in squark mass matrices induce CEDMs: CDEMs are enhanced by heavier quark masses Stringent constraints on products of LL and RR mixings:　　　　　　　　　　　 February 15, 2005 Mitsuru Kakizaki

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 February 15, 2005 Mitsuru Kakizaki

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

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 February 15, 2005 Mitsuru Kakizaki

SUSY SU(5) GUTs with right-handed neutrinos 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)] February 15, 2005 Mitsuru Kakizaki

EDM vs LFV Hadronic EDM experiments severely constrain SU(5) GUT relation: [Hisano,Shimizu(2003); Ciuchini,Masiero,Silvestrini,Vempati,Vives(2003)] When CP violating phases are order of one, upper limit of branching ratios of LFV tau decay are predicted: c.f. Current upper bound: February 15, 2005 Mitsuru Kakizaki

CEDM in SUSY SU(5) GUT with right-handed neutrinos New CEDM in SUSY SU(5) GUT with right-handed neutrinos 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 February 15, 2005 Mitsuru Kakizaki

4. Hadronic EDM constraints on orbifold GUTs

5-dim orbifold GUT (Hall-Nomura model) [Hall,Nomura, PRD66,075004(2002)] Gauge, Higgs SU(5) SU(3)XSU(2)XU(1) Spacetime: Realization of light Higgs doublets and heavy Higgs triplets Explanation of observed values of gauge coupling constants Suppression proton decay via dimension 4, 5 and 6 operators Matter location controls flavor structure of (s)fermions: Fermion mass hierarchy via volume suppression Soft SUSY terms only for bulk fields FCNC suppression February 15, 2005 Mitsuru Kakizaki

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 February 15, 2005 Mitsuru Kakizaki

Up quark CEDM induced by squark mixing in orbifold GUT New Up quark CEDM induced by squark mixing in orbifold GUT Bulk fields obtain SUSY breaking masses and couplings: In basis of diagonal up quark mass matrix (superCKM basis) In generic Up CEDM is enhanced by large top quark mass and dangerous c.f. GUTs with mSUGRA boundary condition: Up CEDM is generated by RG effect of bottom Yukawa coupling February 15, 2005 Mitsuru Kakizaki

Up quark CEDM in orbifold GUT New Up quark CEDM in orbifold GUT Hg EDM Maximal CP phase Deutron EDM (Future) Marginal up CEDM is induced by misalignment between CP violating LL and RR up-type squark mixing and by large top quark mass c.f. GUTs with mSUGRA boundary condition: February 15, 2005 Mitsuru Kakizaki

5. Summary Although EDMs are flavor conserving moments, null results of EDMs also constrain flavor violating parameters We can probe SUSY GUT models with hadronic EDM experiments SU(5) SUSY GUTs with right-handed neutrinos: Five-dimensional orbifold GUT (a la Hall -- Nomura): Marginal CEDM of up quark is induced More generic conclusion: we can probe physics of SUSY GUTs by investigating various phenomena involving quark and lepton flavor violation February 15, 2005 Mitsuru Kakizaki

Backup slides February 15, 2005 Mitsuru Kakizaki

Up CEDM vs in orbifold GUT Up CEDM constraint is as strong as that of February 15, 2005 Mitsuru Kakizaki

Supersymmetric standard model and SUSY flavor problem Supersymmetry (SUSY): Fermion boson e.g. Quark Squark Hierarchy problem is solved Gaugino Gauge boson 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. February 15, 2005 Mitsuru Kakizaki

Branching ratios for LFV decays in SUSY SU(5) GUT with right-handed neutrinos Future Future Right-handed tau neutrino mass By investigating correlations between results of hadronic EDM and LFV searches, we can probe structure in SUSY GUT models February 15, 2005 Mitsuru Kakizaki

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 February 15, 2005 Mitsuru Kakizaki

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 February 15, 2005 Mitsuru Kakizaki

Flavor structure Quark and lepton superfields: Superpotential: Quark mixing (CKM) matrix Lepton mixing (MNS) matrix GUT phases (independent of CKM phase February 15, 2005 Mitsuru Kakizaki

199Hg EDM CP violating interaction: T violating nuclear force: Interaction between nuclear and electron: Spin of nuclear EDM of 199Hg atom February 15, 2005 Mitsuru Kakizaki

vs CP asymmetry for [Hisano, Shimizu(2003,2004)] SM Belle(2004) BaBar(2004) Consider case when CP violation is originated only from Neutron EDM bound suggest no deviation of CP asymmetry for from SM prediction [From Hisano, Shimizu(2004)] Sizable deviation should come from [Endo, Mishima, Yamaguchi(2004)] February 15, 2005 Mitsuru Kakizaki

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 February 15, 2005 Mitsuru Kakizaki

Estimates of hadronic EDMs Neutron EDM: CP violation [Hisano—Shimizu(2003,2004)] EDM of Hg atom: CP violation T-violating nuclear force mixing [Hisano—Shimizu(2003,2004)] February 15, 2005 Mitsuru Kakizaki

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: [Borzumati, Masiero(1986)] LFV: may be detected in foreseeable future February 15, 2005 Mitsuru Kakizaki

Deutron EDM experiment [Semertzidis et al, hep-ex/0308063] Sensitivity: Candidates: BNL, IUCF, KVI February 15, 2005 Mitsuru Kakizaki