Hadronic EDMs in SUSY GUTs

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Hadronic EDMs in SUSY GUTs
Mitsuru Kakizaki (ICRR, Univ. of Tokyo)
Feb. 15, 2005 _at_ Sendai

• 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

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

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1. Motivation

• 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, LFV
  decays and EDMs

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SUSY models can be distinguished by
hadronic EDM searches

• Recently Hisano and Shimizu pointed out that
  hadronic EDM experiments severely constrain CP
  violating squark generation mixing in SUSY models

Hisano,Shimizu(2003,2004)
CP structure for B meson is affected
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 (Hall and Nomura
  model)

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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 constraints on orbifold GUTs
5. Summary

New
New
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2. Constraints from hadronic EDMs

• CEDM of quark

CP and T violation

• 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
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Constraints on squark flavor mixing
Hisano,Shimizu(2003,2004)

• 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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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

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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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)
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EDM vs LFV

• Hadronic EDM experiments severely constrain

• SU(5) GUT relation

Hisano,Shimizu(2003) Ciuchini,Masiero,Silvestrin
i,Vempati,Vives(2003)
When CP violating phases are order of one,
upper limit of branching ratios of LFV tau decay
are predicted

• c.f. Current upper bound

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CEDM in SUSY SU(5) GUT with right-handed
neutrinos
New
Deutron EDM (Future)
Deutron EDM (Future)
Right-handed tau neutrino mass

• Maximal CP phase

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

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4. Hadronic EDM constraints on orbifold GUTs
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5-dim orbifold GUT (Hall-Nomura model)
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

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Flavor structure in orbifold GUT

• in SUSY 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
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Up quark CEDM induced by squark mixing in
orbifold GUT
New

• 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
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Up quark CEDM in orbifold GUT
New
Hg EDM

• Maximal CP phase

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

• 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)

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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Up CEDM vs in orbifold GUT

• Up CEDM constraint is as strong as that of

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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.
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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 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

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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)

• 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)
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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

• Neutron EDM

CP violation
HisanoShimizu(2003,2004)

• EDM of Hg atom

T-violating nuclear force
mixing
HisanoShimizu(2003,2004)
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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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Deutron EDM experiment
Semertzidis et al, hep-ex/0308063

• Sensitivity

• Candidates BNL, IUCF, KVI