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Hadronic EDMs in SUSY GUTs

Hadronic EDMs in SUSY GUTs. Mitsuru Kakizaki (ICRR, Univ. of Tokyo). Jan. 13, 2005 @ YITP. 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) Jan. 13, 2005 @ YITP • 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, in preparation • We investigate effects and constraints of hadronic EDMs on SUSY GUT models Mitsuru Kakizaki

  2. 1. Motivation

  3. 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

  4. Idea • 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 phenomena in hadron sectorwe can make predictions in lepton sector, and vice versa • SUSY GUTs are probed with K, B physics and Mitsuru Kakizaki

  5. 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 (a la Hall and Nomura) • Recently Hisano and Shimizu pointed out that hadronic EDM experiments severely constrain CP violating squark generation mixing in SUSY models [Hisano—Shimizu(2003,2004)] Purpose of this talk: Mitsuru Kakizaki

  6. Contents • Motivation • Constraints from hadronic EDMs • Hadronic EDMs in SUSY SU(5) GUTs with right-handed neutrinos • Hadronic EDM in orbifold GUT • Summary New New Mitsuru Kakizaki

  7. 2. Constraints from hadronic EDMs

  8. 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

  9. 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

  10. CEDMs originated from squark mixings • CP violating off-diagonal elements in squark mass matrices CEDMs of quarks： CDEMs are enhanced by heavier quark masses Stringent constraints on products of LL and RR mixings: Mitsuru Kakizaki

  11. Constraints from EDM experiments • 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

  12. 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

  13. 3. Hadronic EDMs in SUSY SU(5) GUTswith right-handed neutrinos

  14. 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

  15. SUSY SU(5) GUTswith 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

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

  17. New CEDM of strange quark in SUSY SU(5) GUT with right-handed neutrinos Case of maximal CP phase Deutron EDM (Future) mSUGRA boundary condition Right-handed tau neutrino mass • Null result of neutron EDM experiments already constrains mass of right-handed tau neutrino: Mitsuru Kakizaki

  18. New CEDM of down quark in SUSY SU(5) GUT with right-handed neutrinos • Case of maximal CP phase • mSUGRA boundary condition Deutron EDM (Future) Right-handed tau neutrino mass • Future EDM experiment is sensitive to small region Mitsuru Kakizaki

  19. 4. Hadronic EDM in Orbifold GUT

  20. Gauge, Higgs SU(5) SU(3)XSU(2)XU(1) SU(5) 5-dim orbifold GUT a la Hall--Nomura [Hall,Nomura, PRD66,075004(2002)] 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 Mitsuru Kakizaki

  21. Flavor structure in orbifold GUT • in 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

  22. 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 genericUp 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 Mitsuru Kakizaki

  23. New Up quark CEDM in orbifold GUT Hg EDM • Case of maximal CP phase in order to subtract flavor conserving contribution 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 Mitsuru Kakizaki

  24. 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 Mitsuru Kakizaki

  25. Backup slides Mitsuru Kakizaki

  26. 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 Mitsuru Kakizaki

  27. 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

  28. 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

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

  30. 199Hg EDM • CP violating interaction: T violating nuclear force: Interaction between nuclear and electron: Spin of nuclear EDM of 199Hg atom Mitsuru Kakizaki

  31. 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

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