International Conference "Discoveries of Higgs and Supersymmetry to Pioneer Particle Physics in the 21st Century" Date: 24 and 25 th November 2005 Place: Koshiba-Hall, Faculty of Science Bldg.1, 2nd floor,University of Tokyo Flavor violation in SUSY GUTs Junji Hisano (ICRR, Univ. of Tokyo)

1, Introduction Flavor and/or CP violating processes are a traditional window for new physics and the studies are complementary to new particle searches in collider physics. ・ B/D/K systems ・ neutrino oscillation ・ muon/tau lepton flavor-violating decays ・ leptonic and hadronic electric dipole moments New Source for flavor/CP violation in MSSM: SUSY breaking terms We may probe from studies for those processes i) Origin of the SUSY breaking terms in MSSM ii) Physics beyond MSSM (ex, SUSY seesaw model, SUSY GUTs, etc ) (Yamaguchi-san’s talk)

Supersymmetric SU(5) Ground Unification Flavor-violating SUSY breaking mass terms for squarks and sleptons are induced by GUT interaction even if the flavor universality for the scalar masses is imposed at the cutoff scale. (Hall, Kostelecky & Raby) 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 We can check consistency between hadronic and leptonic flavor violation due to the GUT relation in flavor violation.

Generation structure comes from simple repetation? Orbifold SU(5) SUSY GUT in 5 dimensional space Solution for Triplet-doublet Higgs mass splitting problem and dim-5 proton decay problem. (Hall&Nomura) (T and F:,10- and 5-dim Matter) Simple repetation is not favored from Large top quark Yukawa coupling, bottom/tau mass ratio, Dim-6 proton decay. It is favored that10-dim matter for 3 rd generation hasdifferent configuration from others. Thus, quarks and leptons in the Multiplet may have non-universal scalar mass term and the flavor violation. Gauge Higgs

Contents of my talk 1, Introduction 2, Conventional SU(5) SUSY GUTs (Based on collaborations with Y.Shimizu, M.Kakizaki and M.Nagai). 3, Orbifold SU(5) SUSY GUT in 5 dimensional space (Based on collaborations with M.Kakizaki and M.Nagai). 4, Summary

2, Conventional SU(5) SUSY GUTs 1, both sleptons and squarks have flavor-violating mass terms. Charged lepton flavor violation New contribution to flavor violation in B/K meson systems 2, both left-handed and right-handed sleptons/squarks have flavor-violating mass terms. Leptonic and Hadronic EDMs. Feature for the flavor violation in SUSY GUTs. Charged lepton flavor violation, b-s transition and the correlation to other processes. Leptonic and Hadronic EDMs. I review the following points in this talk. Down quark EDM

Charged lepton flavor violation Large mixing angles, observed in the neutrino osc. exp., may enhance charged lepton flavor violation. Here, neutrino Yukawa, MNS matrix, right-handed neutirno mass. In seesaw mechanism, Babbar(05), 7*10^-8 SuperBfactory MEG PRISM (mu-e convesion) (JH, Kakizaki, Nagai, Shimizu)

b-s transition and the correlation to other processes. In SUSY GUTs, the atmospheric neutrino angle enhances the transition, Windows for the observation are 1, CP asymmetries in such as Done in Belle and Babbar. The anomaly is “almost” disappeared 2, CP asymmetry in system. Will measurement be done at LHC, using SM contribution is tiny. ( phase in the GUT interaction) (Moroi)

Correlation between and other processes Typically, penguin diagram dominates. In SUSY GUTs it is correlated with 1, due to the GUT relation 2, strange quark chromoelectric dipole moment, which is constrained from hadronic EDMs.

Experimental bound CP asymmetry in versus and hadronic EDMs. Current measurement: Super B factory at 50ab-1=  0.03(stat)  0.01(syst)  0.04(th) (JH, Shimizu)

Mixing-induced CPasymmetry in at LHC Experimental bound CP asymmetry in is less sensitive to tanbeta while is proportional to square of it. (JH, Shimizu)

Hadronic and Leptonic EDMs Electron EDM: correlated with It depends on GUT Parameters. Hadronic EDMs, such as neutron, Hg atom, deutron EDMs. Neutron deuteron (from review by Semertzidis) (JH, Kakizaki, Nagai, Shimizu)

3, Orbifold SU(5) SUSY GUT (T and F:,10- and 5-dim Matter) Gauge Higgs Sherk-Shwartz SUSY breaking is operative, Bulk fields have SUSY breaking mass terms. Unparallel structure in 10-dimensional multiplets leads to flavor-violation at tree-level. Charge lepton flavor violation (induced by right-handed sleptons) and up-quark (C)EDM are predicted. (Hall&Nomura)

Neutron MEG (JH, Kakizaki, Nagai)

4, Summary Flavor physics is a long traditional tool to probe new physics, and complementary to new particle searches in collider physics. Much efforts on improvement of sensitivities still makes it powerful tools for the purpose. mu->e gamma experiment is the important test for SUSY flavor physics, which is derived from physics at much higher energy scale than weak scale. Further improvement may be down by mu-e conversion using high-luminosity proton beam, such as PRISM. One of the other important test for SUSY GUTs is EDMs, which are induced by both left- and right-handed flavor-mixing. Future prospects for the sensitivities covers broad parameter regions and many models.

Current observation for bottom-strange quark transition is quit consistent with other observables in SUSY GUTs. When the deviation might be observed at super B factory or LHC, tau lepton flavor violation and hadronic EDMs become important tests for check of SUSY GUTs. While flavor physics is powerful to probe high-energy scale, it is indirect one. It is important to spotlight models from various angles.