hadronic edms in susy guts

June 2, 2005 Mitsuru Kakizaki 1

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

Jun. 2, 2005 @ Gyeongju

We investigate hadronic EDMs induced by CP violating squark mixings

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,” hep-ph/0505234


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 correlations between hadronic and leptonic observables, we can probe structure of SUSY GUTs

1. Motivation

Attention to K, B physics, LFV decays and EDMs


Investigation of hadronic EDMs in SUSY GUT models SUSY SU(5) GUT with right-handed neutrinos

(with minimal SUGRA boundary condition) Five-dimensional SU(5) orbifold GUT

Hadronic EDM experiments severely constrain CP violating squark generation mixing in SUSY models

[Hisano,Shimizu(2003,2004)]

Purpose of this talk:

Constraint on CP asymmetry in B meson system


Contents1. Motivation2. Constraints from hadronic EDMs3. Hadronic EDMs in SUSY SU(5) GUTs

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

June 2, 2005 Mitsuru Kakizaki 5 Quark EDM contributions to are comparable to those from

CP violation at dimension five level:

2. Constraints from hadronic EDMs

Quark CEDMs

Current upper bounds:

Quark CEDM contributions to EDMs of neutron and 199Hg atom: [Hisano,Shimizu(2003,2004)]

Quark EDMs

Electric dipole moments (EDMs): T-odd observables

KM phase does not induce detectable EDMsEDMs are sensitive to physics beyond SM


SUSY contributions to CEDMs

Stringent constraints on products of LL and RR mixings:　　　　　　　　　　　

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

CEDMs are enhanced by heavier quark masses due to chirality flip nature


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

Hadronic and leptonic EDMs

CKM mixings Neutrino mixings

SU(5)Left-handed sdown mixings Left-handed slepton mixings

SU(5)

Right-handed slepton mixings Right-handed sdown mixings

Both left- and right-handed sfermion mixings are induced Relative phases come from GUT CP phases


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

Right-handed tau neutrino mass

Deutron EDM (Future)Deutron EDM (Future)

Maximal CP phase,

Strange quark CEDM Down quark CEDM


Hadronic EDM vs other observables

c.f. Current upper bounds:

SU(5) GUT relation:

Hadronic EDM experiments severely constrain

Branching ratios for LFV tau decays: Muon EDM:

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

LL mixings are inevitably arise due to top Yukawa coupling and CKM mixings

CP asym. in from RR sdown mixing is suppressed[Hisano,Shimizu(2003,2004)]


4. Hadronic EDM constraints on orbifold GUTs

Gauge multipletHiggs mutiplets

SU(5) brane SU(5) bulk SM braneSpacetime:

Realization of light Higgs doublets and heavy Higgs triplets Gauge coupling unification Suppression of proton decay

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

Fermion mass hierarchy via volume suppression Unification of bottom and tau mass Soft SUSY terms only for bulk fields FCNC suppression

in MSSM

Boundary conditions in extra dimension GUT, SUSY

Gauge multiplets

Higgs doublets


Sfermion mixings in orbifold GUT Bulk fields are responsible for fermion mass hierarchy and SUSY parameters:

Sfermion flavor mixings arise at tree level for 10-plets:

c.f. Minimal SUSY SU(5) GUT with mSUGRA boundary conditionSfermion flavor mixings are loop-suppressed:

Dangerous up quark CEDM and LFV from RR slepton mixings

for

Zero modes of Zero modes of


Up quark CEDM and in orbifold GUT

Marginal CEDM of up quark is induced as well as LFV decays

Hg EDM

Maximal CP phase,

Deutron EDM (Future)

Neutron EDM

MEG (Future)

Up quark CEDM Branching ratio for


5. Summary EDMs depend on flavor violating mass parameters

via internal lines

We can probe SUSY GUT models by investigating correlations between hadronic EDMs and other obervables

SU(5) SUSY GUTs with right-handed neutrinos:

Orbifold GUTs:Marginal CEDM of up quark is induced as well as LFV decays from RR slepton mixings


Backup slides


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 sector


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)

Severe constraints: e.g.


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

Right-handed tau neutrino mass

Future

Future (MEG)


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


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


Superpotential:

Quark and lepton superfields:

Flavor structure

GUT phases (independent of CKM phase

Quark mixing (CKM) matrixLepton mixing (MNS) matrix


199Hg atom EDM

CP violating interaction:

T violating nuclear force:

Interaction between nuclear and electron:Spin of nuclear

EDM of 199Hg atom


[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)]


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


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


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:


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)]


SU(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


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

[Moroi(2000)]

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


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

Candidates: BNL, IUCF, KVI

Sensitivity:

hadronic edms in susy guts

Documents

hadronic edmshadronic

susy su5 guts

muon edm

susy gut modelssusy

edms of neutron

susy modelshisano

future edm experiment

unification of quark