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Hadronic EDMs in SUSY GUTs

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]

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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) 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 Mitsuru Kakizaki

  2. 1. Motivation • 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

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

  4. Contents • 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

  5. 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 199Hg atom: [Hisano,Shimizu(2003,2004)] Current upper bounds: • Quark EDM contributions to are comparable to those from Mitsuru Kakizaki

  6. 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: Mitsuru Kakizaki

  7. 3. Hadronic EDMs in 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

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

  9. 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: Mitsuru Kakizaki

  10. 4. Hadronic EDM constraints on orbifold GUTs • Boundary conditions in extra dimension GUT, SUSY [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 mass • Soft SUSY terms only for bulk fields FCNC suppression Mitsuru Kakizaki

  11. 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: for Mitsuru Kakizaki

  12. 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 CEDM of up quark is induced as well as LFV decays Mitsuru Kakizaki

  13. 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 Mitsuru Kakizaki

  14. Backup slides Mitsuru Kakizaki

  15. 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 Mitsuru Kakizaki

  16. Supersymmetric standard modeland SUSY flavor problem Fermion boson • Supersymmetry (SUSY): 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. Mitsuru Kakizaki

  17. 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 Mitsuru Kakizaki

  18. 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 be accidentally canceled out Mitsuru Kakizaki

  19. 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

  20. Flavor structure • Quark and lepton superfields: • Superpotential: Quark mixing (CKM) matrix Lepton mixing (MNS) matrix GUT phases (independent of CKM phase Mitsuru Kakizaki

  21. 199Hg atom EDM • CP violating interaction: T violating nuclear force: Interaction between nuclear and electron: Spin of nuclear EDM of 199Hg atom Mitsuru Kakizaki

  22. Belle(2004) BaBar(2004) SM vs CP asymmetry for [Hisano, Shimizu(2003,2004)] • Consider case when CP violation is originated only from Neutron EDM bound suggestno deviation of CP asymmetry for from SM prediction [From Hisano, Shimizu(2004)] • Sizable deviation should come from [Endo, Mishima, Yamaguchi(2004)] Mitsuru Kakizaki

  23. 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 Mitsuru Kakizaki

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

  25. 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 Mitsuru Kakizaki

  26. 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

  27. 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 manifestand thus is not symmetric Mitsuru Kakizaki

  28. 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)] Mitsuru Kakizaki

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

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