EDMs in the SUSY GUTs

1. EDMs in the SUSY GUTs NuFact046th International Workshop on Neutrino Factories and Superbeams,Osaka University, Japan26 July - 1 August 2004 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. (This topic was reviewed by Prof. Okada.)

4. SUSY SU(5) GUT with right-handed neutrinos In MSSM with right-handed neutrinos, In SUSY SU(5) GUT with right-handed neutrinos, quarks and leptons are unified, and then CKM mixing ⇒ Left-handed sdown mixing Neutrino mixing ⇒ Left-handed slepton mixing CKM mixing ⇒ Right-handed slepton mixing Neutrino mixing ⇒ Right-handed sdown mixing When both left-handed and right-handed squark and slepton mixings are predicted, the EDMs are generated. The hadronic and leptonic EDMs are good probes for the SUSY GUTs. Relative phases between left- and right- handed sfermion mixing contributes to EDMs

5. Contents of my talk Introduction Hadronic CP violation in SUSY GUT model Leptonic EDMs in SUSY GUT model Summary JH and Shimizu, hep-ph/040691 JH, Kakizaki, Nagai, and shimizu, hep-ph/0407169

6. 2, Hadronic CP violation in SUSY SU(5) GUT The neutrino Yukawa induces the right-handed sdown mixing, as Here, comes from GUT inteaction. CP and flavor violation in the RH mixing gives rich hadron physics (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 hadronicinteraction, which leads to 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, in addition to up and down CEDMs. 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. This is sensitive to UV cut off, which appears in log as the baryon mass in above equation. 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 Reach of deuteron EDM 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 mixings are induced by top quark as 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. in SUSY GUT Observation of CP asymmetry in (SM prediction: ) Non-negligible may lead to the deviation of CP asymmetry since is a radiative process. The dominant contribution comes from the gluon penguin diagram in the broad parameter space. The effective operator for induced by :

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

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

17. 2, EDMs in SUSY SU(5) GUT Electron and muon EDMs are generated by the left- and right-handed slepton mixings, again. Neutrino mixing ⇒ Left-handed slepton mixing GUT CKM mixing ⇒ Left-handed slepton mixing For

18. Br( ) v.s. Leptonic EDMs in SUSY GUTs Effective operator for is Br( ) gives bounds on leptonic EDMs.

19. Summary In the extension of SUSY GUT, the left- and right-handed squark and slepton mixings are predicted, and the relative phases contribute to the hadronic and leptonic EDMs. Thus, the EDMs are good probes for the SUSY GUTs. The 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) mixings of the right-handed squarks, though they may suffer from theoretical uncertainties. The neutron EDM is more sensitive to strange quark CEDM, and it constrains the deviation of CP asymmetry in

20. New technique for the deuteron EDM measurement may give more stringent constraints on the models or find the signal. It is important to take a correlation among various hadronic EDMs, such as those of diamagnetic atom and neutron, after discovering them. The latter is more sensitive to the strange quark CEDM. Leptonic EDMs are sensitive to the GUT scale parameters, such as GUT CKM and MNS matrixes. If we use the low energy CKM parameters for the GUT CKM, we get upper bound on the electron and muon EDMs as from

21. 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.