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Hadronic EDMs in SUSY GUTs. Mitsuru Kakizaki (ICRR, Univ. of Tokyo). Jun. 2, 2005 @ Gyeongju. 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] - PowerPoint PPT Presentation
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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
June 2, 2005 Mitsuru Kakizaki 2
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
June 2, 2005 Mitsuru Kakizaki 3
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
June 2, 2005 Mitsuru Kakizaki 4
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
June 2, 2005 Mitsuru Kakizaki 6
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
June 2, 2005 Mitsuru Kakizaki 7
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
June 2, 2005 Mitsuru Kakizaki 8
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
June 2, 2005 Mitsuru Kakizaki 9
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)]
June 2, 2005 Mitsuru Kakizaki 10
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
June 2, 2005 Mitsuru Kakizaki 11
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
June 2, 2005 Mitsuru Kakizaki 12
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
June 2, 2005 Mitsuru Kakizaki 13
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
June 2, 2005 Mitsuru Kakizaki 14
Backup slides
June 2, 2005 Mitsuru Kakizaki 15
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
June 2, 2005 Mitsuru Kakizaki 16
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.
June 2, 2005 Mitsuru Kakizaki 17
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)
June 2, 2005 Mitsuru Kakizaki 18
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
June 2, 2005 Mitsuru Kakizaki 19
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
June 2, 2005 Mitsuru Kakizaki 20
Superpotential:
Quark and lepton superfields:
Flavor structure
GUT phases (independent of CKM phase
Quark mixing (CKM) matrixLepton mixing (MNS) matrix
June 2, 2005 Mitsuru Kakizaki 21
199Hg atom EDM
CP violating interaction:
T violating nuclear force:
Interaction between nuclear and electron:Spin of nuclear
EDM of 199Hg atom
June 2, 2005 Mitsuru Kakizaki 22
[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)]
June 2, 2005 Mitsuru Kakizaki 23
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
June 2, 2005 Mitsuru Kakizaki 24
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
June 2, 2005 Mitsuru Kakizaki 25
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:
June 2, 2005 Mitsuru Kakizaki 26
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)]
June 2, 2005 Mitsuru Kakizaki 27
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
June 2, 2005 Mitsuru Kakizaki 28
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
June 2, 2005 Mitsuru Kakizaki 29
Deutron EDM experiment[Semertzidis et al, hep-ex/0308063]
Candidates: BNL, IUCF, KVI
Sensitivity: