1. July 12, 2005Mitsuru Kakizaki1 Hadronic EDMs in SUSY GUTs Mitsuru Kakizaki (ICRR, Univ. of Tokyo) July 12, 2005 @ Nagoya University 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 12, 2005Mitsuru Kakizaki2 Outline 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

3. July 12, 2005Mitsuru Kakizaki3 Grand unified theories (GUTs) Unification of quarks and leptons: e.g. SU(5) GUT: Unification of gauge groups in standard model: Strong interaction (SU(3) C ) } SU(2) L X U(1) Y } Electromagnetic interaction Weak interaction GUT Correlation between quark and lepton flavor structures Charge quantization

4. July 12, 2005Mitsuru Kakizaki4 Fermion Boson Gaugino Gauge boson e.g. Quark Squark Supersymmetric standard model Generation indices e.g. soft sfermion mass terms: Supersymmetry (SUSY): No superparticle has been discovered (Soft) SUSY breaking terms are required New flavor-dependent parameters are introduced One of solutions to hierarchy problem SUSY must be broken Superpatner

5. July 12, 2005Mitsuru Kakizaki5 SUSY flavor problem Severe constraint: e.g. K meson mixing: Generic sfermion masses and mixings Unacceptably large flavor changing processes [flavor changing neutral current (FCNC), lepton flavor violation (LFV)] c.f. in SM, GIM mechanism adequately suppresses FC processes

6. July 12, 2005Mitsuru Kakizaki6 Attempts to solve SUSY flavor problem 2. Alignment: 1. Degeneracy: e.g. minimal supergravity (mSUGRA): Sfermion masses arise in flavor blind manner at high energy scale Sfermion generation mixings are induced only by RG effects Both fermion and sfermion generation mixings are controlled by same flavor physics at high energy scale Various attempts are distinguished by operative and future experiments searching for rare processes (e.g. at )

7. July 12, 2005Mitsuru Kakizaki7 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 SUSY GUTs Attention to K, B physics, LFV decays and EDMs

8. July 12, 2005Mitsuru Kakizaki8 Investigation of hadronic EDMs coming from squark flavor mixings 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

9. July 12, 2005Mitsuru Kakizaki9 Outline 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

10. July 12, 2005Mitsuru Kakizaki10 CP violation at dimension five level: 2. Constraints from hadronic EDMs Quark CEDMs Quark EDMs Electric dipole moments (EDMs): T-odd observables KM phase does not induce detectable EDMs EDMs are sensitive to CP violation beyond SM Constraint on QCD theta parameter is relaxed by PQ symmetry

11. July 12, 2005Mitsuru Kakizaki11 Quark CEDM contributions to hadronic EDMs EDM of 199 Hg atom: EDM of neutron: [Hisano,Shimizu(2004)] CP violation T-violating nuclear force CP violation mixing Quark EDM contributions are comparable to those from CEDMs Experimental bound:

12. July 12, 2005Mitsuru Kakizaki12 Stringent constraints on imaginary parts of products of LL and RR mixings: SUSY contributions to CEDMs CP violating off-diagonal elements in squark mass matrices CEDMs are enhanced by heavier quark masses due to chirality flip nature CEDMs:

13. July 12, 2005Mitsuru Kakizaki13 Outline 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

14. July 12, 2005Mitsuru Kakizaki14 High energy SUSY breaking scenarios Large top Yukawa coupling and CKM matrix EDM experiments actually constrain RR sdown mixings: c.f. LL sdown mixings inevitably arise due to RG effects: Severe constraints on CP violating 1-3 and 2-3 mixings in RR sdown sector

15. July 12, 2005Mitsuru Kakizaki15 Charged lepton flavor violation (LFV) in SUSY seesaw model Flavor changing right-handed neutrino Yukawa coupling Radiative corrections Slepton LL mixings: may be detected in foreseeable future Observation of neutrino oscillations [Borzumati, Masiero(1986)] Lepton mixing matrix ： LFV:

16. July 12, 2005Mitsuru Kakizaki16 SUSY SU(5) GUTs with right-handed neutrinos GUT CP phases SU(5) SU(5) Unification: Squark and slepton mixings are correlated: Large neutrino Yukawa coupling and mixings Rad. cor. Left-handed (LL) slepton mixingRight-handed (RR) sdown mixing [Hisano,Shimizu(2003); Ciuchini,Masiero,Silvestrini,Vempati,Vives(2003)] LFV, leptonic EDMs, … Hadronic EDMs, CP asym. in, …

17. July 12, 2005Mitsuru Kakizaki17 CEDM in SUSY SU(5) GUT with right-handed neutrinos Null result of neutron EDM experiments already constrain mass of right-handed tau neutrino: Future EDM experiment is sensitive to small region Null result of neutron EDM experiments already constrain 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

18. July 12, 2005Mitsuru Kakizaki18 Hadronic EDM vs other observables c.f. experimental bounds: Lepton sector: Hadronic EDM experiments severely constrain Branching ratios for LFV tau decays: Muon EDM: Deviation of CP asym. in from SM prediction should be suppressed [Hisano,Shimizu(2003,2004)] Hadron sector:

19. July 12, 2005Mitsuru Kakizaki19 Branching ratios for LFV decays in SUSY SU(5) GUT with right-handed neutrinos By investigating correlations between results of hadronic EDMs and LFV searches, we can test SUSY GUT models Right-handed tau neutrino mass Future Future (MEG)

20. July 12, 2005Mitsuru Kakizaki20 Outline 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

21. July 12, 2005Mitsuru Kakizaki21 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 [Kawamura(2000), Hall,Nomura(2001); Hall,Nomura, PRD66,075004(2002)] Fermion mass hierarchy via volume suppression Unification of bottom and tau masses Soft SUSY terms only for bulk fields FCNC suppression Fermion mass hierarchy via volume suppression Unification of bottom and tau masses Soft SUSY terms only for bulk fields FCNC suppression in MSSM Boundary conditions in extra dimensionGUT, SUSY Gauge multiplets Higgs doublets

22. July 12, 2005Mitsuru Kakizaki22 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: for Zero modes of [Romanino, Strumia (1996)] LL and RR up-type squark mixings Up quark CEDM RR slepton mixing LFV

23. July 12, 2005Mitsuru Kakizaki23 Up quark CEDM and in orbifold GUT Marginal up quark CEDM is induced as well as LFV decays Hg EDM Maximal CP phase, Deutron EDM (Future) Neutron EDM MEG (Future) Up quark CEDMBranching ratio for

24. July 12, 2005Mitsuru Kakizaki24 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 observables SU(5) SUSY GUTs with right-handed neutrinos: Orbifold GUTs: Marginal up quark CEDM to experimental bound Observable LFV decays from RR slepton mixing

25. July 12, 2005Mitsuru Kakizaki25 Backup slides

26. July 12, 2005Mitsuru Kakizaki26 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 accidentally cancel

27. July 12, 2005Mitsuru Kakizaki27 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

28. July 12, 2005Mitsuru Kakizaki28 Superpotential: Quark and lepton superfields: Flavor structure of SUSY SU(5) GUT with right-handed neutrinos GUT phases (independent of CKM phase) Quark mixing (CKM) matrix Lepton mixing (MNS) matrix

29. July 12, 2005Mitsuru Kakizaki29 199 Hg atom EDM CP violating interaction: T violating nuclear force: Interaction between nuclear and electron: Spin of nuclear EDM of 199 Hg atom

30. July 12, 2005Mitsuru Kakizaki30 [From Hisano, Shimizu(2004)] Neutron EDM bound suggest no deviation of CP asymmetry for from SM prediction SM Belle(2005) BaBar(2005) [Hisano, Shimizu(2003,2004)] Suppose that CP violation is originated only from vs CP asymmetry for Sizable deviation should come from

31. July 12, 2005Mitsuru Kakizaki31 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)]

32. July 12, 2005Mitsuru Kakizaki32 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

33. July 12, 2005Mitsuru Kakizaki33 Deutron EDM experiment [Semertzidis et al, hep-ex/0308063] Candidates: BNL, IUCF, KVI Sensitivity: