February 15, 2005 Mitsuru Kakizaki 1

Hadronic EDMs in SUSY GUTsMitsuru Kakizaki (ICRR, Univ. of Tokyo)

Feb. 15, 2005 @ Sendai

We investigate effects and constraints of hadronic EDMs on SUSY GUT models

We investigate effects and constraints of hadronic EDMs on SUSY GUT models

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, 　“ Hadronic EDM Constraints on Orbifold GUTs,” 　 in preparation

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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 versaBy investigating phenomena in hadron sectorwe can make predictions in lepton sector, and vice versa

1. Motivation

SUSY GUTs are probed with K, B physics, LFV decays and EDMs

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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 (Hall and Nomura model)

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:

SUSY models can be distinguished by hadronic EDM searches

CP structure for B meson is affected

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Contents

1. Motivation2. Constraints from hadronic EDMs3. Hadronic EDMs in SUSY SU(5) GUTs

with right-handed neutrinos4. Hadronic EDM constraints on orbifold GUTs5. Summary

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CP violating off-diagonal elements in squark mass matrices induce CEDMs:

CDEMs are enhanced by heavier quark masses

Stringent constraints on products of LL and RR mixings:　　　　　　　　　　　

CEDM of quark :

2. Constraints from hadronic EDMs

CP and T violation

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Constraints on squark flavor mixing

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

[Hisano,Shimizu(2003,2004)]

3. Hadronic EDMs 　 in SUSY SU(5) GUTs 　 with right-handed neutrinos

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High energy SUSY breaking scenarios

Existanse of large top Yukawa coupling and CKM matrix

EDM experiments constrain sdown RR mixings practically:c.f.

Sdown LL mixings inevitably arise due to RG effects:

Severe constraints on CP violating 1-3 and 2-3 mixings in sdown RR sectorSevere constraints on CP violating 1-3 and 2-3 mixings in sdown RR sector

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SUSY SU(5) GUTswith right-handed neutrinos

[Moroi(2000)]

SU(5):

SU(5)SU(5)

Large neutrino Yukawa couplings induce sizable generation mixings in right-handed sdown sector, which are related to left-handed slepton mass matrix:

GUT CP phases

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EDM vs LFV

c.f. Current upper bound:

SU(5) GUT relation:

Hadronic EDM experiments severely constrain

upper limit of branching ratios of LFV tau decay are predicted:

When CP violating phases are order of one,

[Hisano,Shimizu(2003); Ciuchini,Masiero,Silvestrini,Vempati,Vives(2003)]

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CEDM in SUSY SU(5) GUT with right-handed neutrinos

Null result of neutron EDM experiments already constrains mass of right-handed tau neutrino: Future EDM experiment is sensitive to small region

Null result of neutron EDM experiments already constrains mass of right-handed tau neutrino: Future EDM experiment is sensitive to small region

Right-handed tau neutrino mass

Deutron EDM (Future)Deutron EDM (Future)

Maximal CP phase

4. Hadronic EDM constraints on orbifold GUTs

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5-dim orbifold GUT (Hall-Nomura model)

Gauge, HiggsSU(5) SU(5) SU(3)XSU(2)XU(1)

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

[Hall,Nomura, PRD66,075004(2002)]

Matter location controls flavor structure of (s)fermions: Fermion mass hierarchy via volume suppression Soft SUSY terms only for bulk fields FCNC suppression

Matter location controls flavor structure of (s)fermions: Fermion mass hierarchy via volume suppression Soft SUSY terms only for bulk fields FCNC suppression

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SU(5) GUT in 4-dimensional viewpoint is not manifestand thus is not symmetricSU(5) GUT in 4-dimensional viewpoint is not manifestand thus is not symmetric

Flavor structure in orbifold GUT

Yukawa couplings leading to up-type quark masses:

in SM are zero modes of

in SUSY SM arise from different bulk multiplets:

in SM are zero modes of

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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)

c.f. GUTs with mSUGRA boundary condition:Up CEDM is generated by RG effect of bottom Yukawa coupling

In genericUp CEDM is enhanced by large top quark mass and dangerousIn genericUp CEDM is enhanced by large top quark mass and dangerous

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Up quark CEDM in orbifold GUT

Marginal up CEDM is induced by misalignment between CP violating LL and RR up-type squark mixing and by large top quark mass

Marginal up CEDM is induced by misalignment between CP violating LL and RR up-type squark mixing and by large top quark mass

Hg EDM

Maximal CP phase

Deutron EDM (Future)

c.f. GUTs with mSUGRA boundary condition:

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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):

More generic conclusion: we can probe physics of SUSY GUTs by investigating various phenomena involving quark and lepton flavor violation

Marginal CEDM of up quark is induced

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Backup slides

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Up CEDM vs in orbifold GUT

Up CEDM constraint is as strong as that of Up CEDM constraint is as strong as that of

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Gauginoe.g. Quark

Supersymmetric standard modeland SUSY flavor problem

e.g. Soft sfermion mass terms:

Supersymmetry (SUSY):

Superparticles are not discovered

Fermion boson

(Soft) SUSY breaking terms are necessary

Hierarchy problem is solved

SUSY must be broken

Generation

SquarkGauge boson

Arbitrary sfermion masses and mixings would induce unacceptably large FCNC processes (SUSY flavor problem)

Arbitrary sfermion masses and mixings would induce unacceptably large FCNC processes (SUSY flavor problem)

Severe constraints: e.g.

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Branching ratios for LFV decays in SUSY SU(5) GUT with right-handed neutrinos

By investigating correlations between results of hadronic EDM and LFV searches, we can probe structure in SUSY GUT models

By investigating correlations between results of hadronic EDM and LFV searches, we can probe structure in SUSY GUT models

Right-handed tau neutrino mass

Future

Future

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Loopholes There are uncertainties of estimates of

hadronic 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

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SUSY GUTs with right-handed neutrinos are very promising as theory beyond SM

SUSY GUTs with right-handed neutrinos are very promising as theory beyond SM

SUSY GUTs with right-handed neutrinos

Tiny neutrino masses

SUSY GUTs are inspired

Three gauge coupling constants are unified at high energy scale in presence of superparticles with masses of order of

Seesaw mechanism is inspired

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Superpotential:

Quark and lepton superfields:

Flavor structure

GUT phases (independent of CKM phase

Quark mixing (CKM) matrix

Lepton mixing (MNS) matrix

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199Hg EDM

CP violating interaction:

T violating nuclear force:

Interaction between nuclear and electron:

Spin of nuclear

EDM of 199Hg atom

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[From Hisano, Shimizu(2004)]

Neutron EDM bound suggestno deviation of CP asymmetry for from SM prediction SM

Belle(2004)

BaBar(2004)

[Hisano, Shimizu(2003,2004)]

Consider case when CP violation is originated only from

vs CP asymmetry for

Sizable deviation should come from [Endo, Mishima, Yamaguchi(2004)]

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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

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Estimates of hadronic EDMs

EDM of Hg atom:

Neutron EDM:

[Hisano—Shimizu(2003,2004)]

[Hisano—Shimizu(2003,2004)]

CP violation

mixing

CP violation

T-violating nuclear force

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Charged lepton flavor violation (LFV) in SUSY seesaw model

Flavor changing right-handed neutrino Yukawa coupling

Slepton generation mixings are induced by radiative corrections:

may be detected in foreseeable future

Observation of neutrino oscillations

[Borzumati, Masiero(1986)]

Lepton mixing matrix：

LFV:

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Deutron EDM experiment[Semertzidis et al, hep-ex/0308063]

Candidates: BNL, IUCF, KVI

Sensitivity: