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Hadronic EDMs in SUSY GUTs

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

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Hadronic EDMs in SUSY GUTs

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

  2. Outline • 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 Mitsuru Kakizaki

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

  4. Supersymmetric standard model • Supersymmetry (SUSY): FermionBoson e.g. Quark Squark GauginoGauge boson Superpatner One of solutions to hierarchy problem • No superparticle has been discovered SUSY must be broken (Soft) SUSY breaking terms are required e.g. soft sfermion mass terms: Generation indices New flavor-dependent parameters are introduced Mitsuru Kakizaki

  5. SUSY flavor problem 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 • e.g. K meson mixing: Severe constraint: Mitsuru Kakizaki

  6. Attempts to solve SUSY flavor problem 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 (e.g. at ) 2. Alignment: • 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 Mitsuru Kakizaki

  7. SUSY GUTs • 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 Attention to K, B physics, LFV decays and EDMs Mitsuru Kakizaki

  8. 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 Constraint on CP asymmetry in B meson system [Hisano,Shimizu(2003,2004)] Purpose of this talk: Mitsuru Kakizaki

  9. Outline • 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 Mitsuru Kakizaki

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

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

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

  13. Outline • 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 Mitsuru Kakizaki

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

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

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

  17. New 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 constrain mass of right-handed tau neutrino: • Future EDM experiment is sensitive to small region Mitsuru Kakizaki

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

  19. New 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 EDMs and LFV searches, we can test SUSY GUT models Mitsuru Kakizaki

  20. Outline • 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 Mitsuru Kakizaki

  21. 4. Hadronic EDM constraints on orbifold GUTs • Boundary conditions in extra dimension GUT, SUSY [Kawamura(2000), Hall,Nomura(2001); Hall,Nomura, PRD66,075004(2002)] SM brane Spacetime: SU(5) brane SU(5) bulk Gauge multiplets Gauge multipletHiggs mutiplets 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 masses • Soft SUSY terms only for bulk fields FCNC suppression Mitsuru Kakizaki

  22. LL and RR up-type squark mixings Up quark CEDM RR slepton mixing LFV 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: • c.f. Minimal SUSY SU(5) GUT with mSUGRA boundary condition Sfermion flavor mixings are loop-suppressed: [Romanino, Strumia (1996)] for Mitsuru Kakizaki

  23. New Up quark CEDM and in orbifold GUT Up quark CEDM Branching ratio for Neutron EDM Hg EDM MEG (Future) Deutron EDM (Future) • Maximal CP phase, • Marginal up quark CEDM is induced as well as LFV decays Mitsuru Kakizaki

  24. 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 Mitsuru Kakizaki

  25. Backup slides Mitsuru Kakizaki

  26. Loopholes • There are uncertainties of estimates ofhadronic EDMs originated from hadronic physics • CP violating parameters may be extremely smallin theory beyond the SM • Various CP violating contributions may accidentally cancel Mitsuru Kakizaki

  27. 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 Mitsuru Kakizaki

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

  29. 199Hg atom EDM • CP violating interaction: T violating nuclear force: Interaction between nuclear and electron: Spin of nuclear EDM of 199Hg atom Mitsuru Kakizaki

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

  31. 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 Mitsuru Kakizaki

  32. SUSY SU(5) GUTs with right-handed neutrinos • Neutrino mixings • CKM mixings Left-handed sdown mixings Left-handed slepton mixings SU(5) SU(5) Right-handed slepton mixings Right-handed sdown mixings • Both left- and right-handed sfermion mixings are induced Relative phases come from GUT CP phases Hadronic and leptonic EDMs Mitsuru Kakizaki

  33. Deutron EDM experiment [Semertzidis et al, hep-ex/0308063] • Sensitivity: • Candidates: BNL, IUCF, KVI Mitsuru Kakizaki

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