1. July 19, 2005Mitsuru Kakizaki1 Hadronic EDMs in SUSY GUTs Mitsuru Kakizaki (ICRR, Univ. of Tokyo) July 19, 2005 @ IPPP We investigate hadronic EDMs induced by CP violating squark mixings 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

2. July 19, 2005Mitsuru Kakizaki2 SUSY SM with soft breaking terms: 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 correlations between hadronic and leptonic observables, we can probe structure of SUSY GUTs 1. Motivation Attention to K, B physics, LFV decays and EDMs

3. July 19, 2005Mitsuru Kakizaki3 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 Hadronic EDM experiments severely constrain CP violating squark generation mixing in SUSY models [Hisano,Shimizu(2003,2004)] Purpose of this talk: Constraint on CP asymmetry in B meson system

4. July 19, 2005Mitsuru Kakizaki4 Contents 1.Motivation 2.Constraints from hadronic EDMs 3.Hadronic EDMs in SUSY SU(5) GUTs with right-handed neutrinos 4.Hadronic EDM constraints on orbifold GUTs 5.Summary

5. July 19, 2005Mitsuru Kakizaki5 Quark EDM contributions to are comparable to those from CP violation at dimension five level: 2. Constraints from hadronic EDMs Quark CEDMs Current upper bounds: Quark CEDM contributions to EDMs of neutron and 199 Hg atom: [Hisano,Shimizu(2003,2004)] Quark EDMs Electric dipole moments (EDMs): T-odd observables KM phase does not induce detectable EDMs EDMs are sensitive to physics beyond SM

6. July 19, 2005Mitsuru Kakizaki6 SUSY contributions to CEDMs Stringent constraints on products of LL and RR mixings: CP violating off-diagonal elements in squark mass matrices induce CEDMs: CEDMs are enhanced by heavier quark masses due to chirality flip nature

7. July 19, 2005Mitsuru Kakizaki7 3. Hadronic EDMs in SUSY SU(5) GUTs with right-handed neutrinos Hadronic and leptonic EDMs CKM mixings Neutrino mixings SU(5) Left-handed sdown mixingsLeft-handed slepton mixings SU(5) Right-handed slepton mixingsRight-handed sdown mixings Both left- and right-handed sfermion mixings are induced Relative phases come from GUT CP phases

8. July 19, 2005Mitsuru Kakizaki8 CEDM in SUSY SU(5) GUT with right-handed neutrinos Null result of neutron EDM experiments already constrains mass of right-handed tau neutrino: Future EDM experiment is sensitive to small region Null result of neutron EDM experiments already constrains mass of right-handed tau neutrino: Future EDM experiment is sensitive to small region Right-handed tau neutrino mass Deutron EDM (Future) Maximal CP phase, Strange quark CEDMDown quark CEDM

9. July 19, 2005Mitsuru Kakizaki9 Hadronic EDM vs other observables c.f. Current upper bounds: SU(5) GUT relation: Hadronic EDM experiments severely constrain Branching ratios for LFV tau decays: Muon EDM: [Hisano,Shimizu(2003); Ciuchini,Masiero,Silvestrini,Vempati,Vives(2003)] LL mixings inevitably arise due to top Yukawa coupling and CKM mixings CP asym. in from RR sdown mixing is suppressed [Hisano,Shimizu(2003,2004)]

10. July 19, 2005Mitsuru Kakizaki10 4. Hadronic EDM constraints on orbifold GUTs Gauge multiplet Higgs mutiplets SU(5) braneSU(5) bulk SM brane Spacetime: Realization of light Higgs doublets and heavy Higgs triplets Gauge coupling unification Suppression of proton decay [Hall,Nomura, PRD66,075004(2002)] Fermion mass hierarchy via volume suppression Unification of bottom and tau mass Soft SUSY terms only for bulk fields FCNC suppression Fermion mass hierarchy via volume suppression Unification of bottom and tau mass Soft SUSY terms only for bulk fields FCNC suppression in MSSM Boundary conditions in extra dimensionGUT, SUSY Gauge multiplets Higgs doublets

11. July 19, 2005Mitsuru Kakizaki11 Sfermion mixings in orbifold GUT Bulk fields are responsible for fermion mass hierarchy and SUSY parameters: Sfermion flavor mixings arise at tree level for 10-plets: c.f. Minimal SUSY SU(5) GUT with mSUGRA boundary condition Sfermion flavor mixings are loop-suppressed: Dangerous up quark CEDM and LFV from RR slepton mixings for Zero modes of

12. July 19, 2005Mitsuru Kakizaki12 Up quark CEDM and in orbifold GUT Marginal CEDM of up quark is induced as well as LFV decays Hg EDM Maximal CP phase, Deutron EDM (Future) Neutron EDM MEG (Future) Up quark CEDMBranching ratio for

13. July 19, 2005Mitsuru Kakizaki13 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

14. July 19, 2005Mitsuru Kakizaki14 Backup slides

15. July 19, 2005Mitsuru Kakizaki15 High energy SUSY breaking scenarios Existanse of large top Yukawa coupling and CKM matrix EDM experiments constrain sdown RR mixings practically: c.f. Sdown LL mixings inevitably arise due to RG effects: Severe constraints on CP violating 1-3 and 2-3 mixings in sdown RR sector

16. July 19, 2005Mitsuru Kakizaki16 Gaugino e.g. Quark Supersymmetric standard model and SUSY flavor problem e.g. Soft sfermion mass terms: Supersymmetry (SUSY): Superparticles are not discovered Fermion boson (Soft) SUSY breaking terms are necessary Hierarchy problem is solved SUSY must be broken Generation Squark Gauge boson Arbitrary sfermion masses and mixings would induce unacceptably large FCNC processes (SUSY flavor problem) Severe constraints: e.g.

17. July 19, 2005Mitsuru Kakizaki17 Branching ratios for LFV decays in SUSY SU(5) GUT with right-handed neutrinos By investigating correlations between results of hadronic EDM and LFV searches, we can probe structure in SUSY GUT models Right-handed tau neutrino mass Future Future (MEG)

18. July 19, 2005Mitsuru Kakizaki18 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

19. July 19, 2005Mitsuru Kakizaki19 SUSY GUTs with right-handed neutrinos are very promising as theory beyond SM SUSY GUTs with right-handed neutrinos Tiny neutrino masses SUSY GUTs are inspired Three gauge coupling constants are unified at high energy scale in presence of superparticles with masses of order of Seesaw mechanism is inspired

20. July 19, 2005Mitsuru Kakizaki20 Superpotential: Quark and lepton superfields: Flavor structure GUT phases (independent of CKM phase Quark mixing (CKM) matrix Lepton mixing (MNS) matrix

21. July 19, 2005Mitsuru Kakizaki21 199 Hg atom EDM CP violating interaction: T violating nuclear force: Interaction between nuclear and electron: Spin of nuclear EDM of 199 Hg atom

22. July 19, 2005Mitsuru Kakizaki22 [From Hisano, Shimizu(2004)] Neutron EDM bound suggest no deviation of CP asymmetry for from SM prediction SM Belle(2004) BaBar(2004) [Hisano, Shimizu(2003,2004)] Consider case when CP violation is originated only from vs CP asymmetry for Sizable deviation should come from [Endo, Mishima, Yamaguchi(2004)]

23. July 19, 2005Mitsuru Kakizaki23 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

24. July 19, 2005Mitsuru Kakizaki24 Estimates of hadronic EDMs EDM of Hg atom: Neutron EDM: [Hisano—Shimizu(2003,2004)] CP violation mixing CP violation T-violating nuclear force

25. July 19, 2005Mitsuru Kakizaki25 Charged lepton flavor violation (LFV) in SUSY seesaw model Flavor changing right-handed neutrino Yukawa coupling Slepton generation mixings are induced by radiative corrections: may be detected in foreseeable future Observation of neutrino oscillations [Borzumati, Masiero(1986)] Lepton mixing matrix ： LFV:

26. July 19, 2005Mitsuru Kakizaki26 Constraints on squark flavor mixing 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 [Hisano,Shimizu(2003,2004)]

27. July 19, 2005Mitsuru Kakizaki27 SU(5) GUT in 4-dimensional viewpoint is not manifest and thus is not symmetric Flavor structure in orbifold GUT Yukawa couplings leading to up-type quark masses: in SM are zero modes of in SUSY SM arise from different bulk multiplets: in SM are zero modes of

28. July 19, 2005Mitsuru Kakizaki28 3. Hadronic EDMs in SUSY SU(5) GUTs with right-handed neutrinos [Moroi(2000)] SU(5): SU(5) Large neutrino Yukawa couplings induce sizable generation mixings in right-handed sdown sector, which are related to left-handed slepton mass matrix: GUT CP phases

29. July 19, 2005Mitsuru Kakizaki29 Deutron EDM experiment [Semertzidis et al, hep-ex/0308063] Candidates: BNL, IUCF, KVI Sensitivity: