Transcript 1．Motivation

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

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1. Motivation
Supersymmetric standard model
and SUSY flavor problem

Supersymmetry (SUSY):
e.g. Quark
Gaugino

Fermion
Squark
Gauge boson
boson
Hierarchy problem is solved
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.
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Idea
GUTs:
 Unification of quark
and lepton flavor
SUSY SM with soft breaking terms:
 Severe constraints on parameters
 Detectable FCNC and CP violation
SUSY GUTs: Well motivated by gauge coupling unification
 Unification of mass matrices of squarks and sleptons
By investigating phenomena in hadron sector
we can make predictions in lepton sector, and vice versa

SUSY GUTs are probed with K, B physics and
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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:

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)
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Contents
1. Motivation
2. Constraints from hadronic EDMs
3. Hadronic EDMs in SUSY SU(5) GUTs
with right-handed neutrinos
4. Hadronic EDM in orbifold GUT
5. Summary
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2. Constraints from
hadronic EDMs
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

Neutron EDM:
CP violation
[Hisano—Shimizu(2003,2004)]

EDM of Hg atom:
T-violating
nuclear force
mixing
CP violation
[Hisano—Shimizu(2003,2004)]
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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:
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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

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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
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3. Hadronic EDMs
in SUSY SU(5) GUTs
with right-handed neutrinos
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
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SUSY SU(5) GUTs
with 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)]
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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:
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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:

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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
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4.
Hadronic EDM in Orbifold GUT
5-dim orbifold GUT
a la Hall--Nomura
[Hall,Nomura, PRD66,075004(2002)]
Spacetime:
SU(5)
Gauge, Higgs
SU(5)
SU(3)XSU(2)XU(1)
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
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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 manifest
and thus
is not symmetric
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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)
In generic
Up 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
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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

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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):
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

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Backup slides
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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

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Loopholes



There are uncertainties of estimates of
hadronic EDMs originated from hadronic physics
CP violating parameters may be extremely small
in theory beyond the SM
Various CP violating contributions may be
accidentally canceled out
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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

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Flavor structure

Quark and lepton superfields:

Superpotential:
Quark mixing (CKM) matrix
Lepton mixing (MNS) matrix
GUT phases (independent of CKM phase
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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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vs CP asymmetry for
[Hisano, Shimizu(2003,2004)]
Belle(2004)
Consider case when
CP violation is originated
only from

BaBar(2004)
Neutron EDM bound suggest
no deviation of
CP asymmetry for
from SM prediction
SM
[From Hisano, Shimizu(2004)]
Sizable deviation should come
from
[Endo, Mishima, Yamaguchi(2004)]

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