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## Hadronic EDMs in SUSY GUTs

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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

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

- 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Backup slides

Mitsuru Kakizaki

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

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

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

Flavor structure

- Quark and lepton superfields:

- Superpotential:

Quark mixing (CKM) matrix

Lepton mixing (MNS) matrix

GUT phases (independent of CKM phase

Mitsuru Kakizaki

199Hg EDM

- CP violating interaction:

T violating nuclear force:

Interaction between nuclear and electron:

Spin of nuclear

EDM of 199Hg atom

Mitsuru Kakizaki

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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