Flavor and CP violation in SUSY seesaw models

1. Flavor and CP violation in SUSY seesaw models The 12th International Conference on Supersymmetry and Unification of Fundamental InteractionsJune 17-23, 2004, Tsukuba, Japan Junji Hisano (ICRR, Univ. of Tokyo)

2. Neutrino oscillation: Finite, but small neutrino masses Seesaw model (Introduction of right-handed neutrinos ) Baryon in Universe: Leptogenesis (B-L violation by Majorana mass ) Unification of Matter in SO(10) GUT: Superheavy : We need Supersymmetry (SUSY)

3. Charged Lepton-Flavor Violation in SUSY seesaw model Non-vanishing LFV slepton masses by radiative correction (Borzumati&Masiero) Then, The charged LFV, , may be observed in near future experiments. (These are reviewed by Dr. Illana.)

4. SUSY GUT with right-handed neutrinos Matter unification: GUT relation in flavor physics Colored Higgs Flavor Higgs ( :CP phase in GUT) (moroi) Flavor-violating right-handed current might predict deviation of and so on.

5. Contents of my talk Introduction CP and flavor violation in SUSY GUT model Summary JH and Shimizu, hep-ph/040691 JH, Kakizaki, Nagai, and shimizu, in preparation.

6. 2, CP violation in SUSY SU(5) GUT the neutrino Yukawa induces the flavor violating right-handed currents, ex, Here, is the CP phase in colored Higgs interaction. CP and flavor violation in the RH currents give rich hadron physics (2.7 sigma deviation observed in Belle experiment.) (1,2) mixing and (2,3) and (1,3) mixings are constrained by and hadronic EDMs, respectively.

7. Hadronic EDMs Current bounds on Mercury and neutron EDMs constrain the SUSY models. Choromoelectric dipole moments (CEDM) generate CP violating hadron interaction, which generates EDMs of Mercury and neutron. Strange quark component in necleon is not negligible. From baryon mass and sigma term in chiral perturbation theory, (Zhitnitsky) Thus, hadronic EDMs depend on the strange quark CEDM via K or eta meson interaction. Using the QCD sum rule, ex, (Falk et al)

8. Hg atom EDM 199 Hg is a diamagnetic atom, and the EDM is sensitive to CP- violating nuclear force induced by pion and eta exchange, which generates T-odd EM potential (Shiff momentum). Recent evaluation of Shiff momentum by Dmitriev and Sen’kov reveals that contribution to EDM from isoscalar channel for meson exchange is suppressed by 0.01 compared with previous estimate. From it, it is found that the strange quark CEDM contribution comes from pi-eta mixing. (JH, Shimizu) CP violating Previous result: (Falk et al)

9. Neutron EDM This evaluation is a difficult task. The QCD sum rule is useful for evaluation of only contribution from valence quarks. Here, we present our result by a traditional calculation of the loop diagrams. CP violating CP violating (JH, Shimizu) Strange quark contribution to neutron EDM is not suppressed Compared with up and down quarks. Here, Peccei-Quinn symmetry is assumed. Axion suppresses strange quark CEDM contribution for valence quarks, while above formula is not so changed even if no PQ symmetry. Compare with the sum rule result: (Pospelov&Ritz)

10. Deuteron EDM Recently new technique for measurement of deuteron EDM by using storage ring is proposed and the sensitivity may reach to This system is relatively simple and the EDM is given as CP violating nuclear force Each components are New technique for deuteron EDM may reach to This corresponds to and

11. Hadronic EDM constraint on in SUSY GUT If the off-diagonal term in has a CP phase, it contributes to CEDMin the cooperation with the left-handed squark. The off-diagonal terms are induced by the top quark Yukawa coupling with CKM. Enhanced by heavier fermion mass In typical models, the left-handed squark mixing induced by top quark are Here,

12. Constraints on the flavor violation in squark mass term From neutron (Hg atom) EDM for Here, are assumed. Constraints on (1-3) and (2-3) mixing for the right-handed squark mixings are stringent. (1-2) mixing is constrained by

13. CEDMs in SUSY SU(5) GUT with right-handed neutrinos For (JH, Kakizaki, Nagai, Shimizu) Deuteron EDM reach Deuteron EDM reach Here, diagonal right-handed neutrino mass matrix is assumed, and then parameters in neutrino sector are given by oscillation data. New technique for deuteron EDM may reach to This corresponds to and

14. CP asymmetry in v.s. Strange quark CEDM CP asymmetry in and strange quark CEDM are strongly correlated.

15. Assuming Belle BaBar (JH, Shimizu) The neutron EDM bound is one or two orders of magnitude stronger for a sizable deviation in

16. Summary In the extension of SUSY GUT, right-handed squark mixings are generated by the neutrino Yukawa interaction. The hadronic EDMs have big potential to probe for (1-3) and (2-3) mixing of the right-handed squark mixing, though they may suffer from theoretical uncertainties. The neutron EDM is more sensitive to strange quark CEDM, and the constrain the deviation of CP asymmetry in . New technique for the deuteron EDM measurement may give more stringent constraints on them or find the signal. It is important to take a correlation among various hadronic EDMs, such as those of diamagnetic atom and neutron. The latter is more sensitive to the strange quark CEDM.

18. 1, Introduction Lepton-flavor Violation (LFV) in neutrino sector : Neutrino oscillation experiments ⇒ How large is LFV in charged lepton sector? Tau LFV decays ( ⇔ Atmospheric neutrino ? ) Muon LFV decays ( ⇔Solar neutrino ?) However, Charged LFV depends on the physics beyond the SM and origin of the neutrino masses.

19. Normal case Other tau LFV processes: One-shell photon contribution is dominant, since dipole operator contribution is proportional to Furthermore, 3lepton processes is enhanced by If we find the LFV, we can examine non-trivial tests!

20. Even if the slepton is so heavy, the anomalous LFV Yukawa coupling for Higgs boson may be generated radiatively and not be suppressed by the SUSY scale. In this case, the tau LFV processes may be generated by Higgs mediation, and 3mu, mu eta, mu gamma are comparable. (Babu&Kolda;Brignole&Rossi;JH&Shimizu)

22. 2, Tau LFV in SUSY seesaw model Non-vanishing LFV slepton masses by radiative correction and where Radiative decay processes: Sizable effect

23. Belle’s new bounds and future Belle and BaBar experiments are improving the bounds on Tau LFV processes significantly. . Further improvements of one or two orders may be expected in super B factory.

24. Bottom-up approach to seesaw model Degrees of freedom of physical observables In Seesaw model, M:3+3, :6,CP:4(mixing)+2(Majorana) In light mass matrix M:3, :3, CP:1(mixing)+ 2(Majorana) In (Hermitian) Real: 6,Phase:3 We can take and for parameterization of seesaw model, and neutrino and charged lepton experiments give independent information of seesaw model.

25. comes from , and from . Question: How large they can be? is generated if . We assume Model-building may favor with , not . (Observed large mixings of neutrino come from Yukawa coupling in a case of , but Majorana mass in .)

26. in SUSY GUT Observation of CP asymmetry in (SM prediction: ) Non-negligible may lead to the deviation of CP asymmetry since is a radiative processes. The dominant contribution comes from the gluon penguin diagram in the broad parameter space. The effective operator for induced by :

27. Normal ordering for neutrino mass The largest values are fixed by only validity of perturbation, and they are larger than the experimental bound. These observations give independent information about seesaw model of neutrino oscillation. Even inverted ordering cases give similar results. BELLE result BELLE result (Ellis, JH,Raidal,Shimizu)

28. Slepton oscillation If sleptons are producedin future collider experiments, LFV slepton mass leads to slepton oscillation, and then The cross section behaves as (Arkani-hamed et al) . collider collider (JH, Nojiri, Shimizu, Tanaka)