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June 7, 2005 Mitsuru Kakizaki 1
Hadronic EDMs in SUSY GUTsMitsuru Kakizaki (ICRR, Univ. of Tokyo)
Jun. 7, 2005 @ KIAS
We investigate hadronic EDMs induced by CP violating squark mixingsWe 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 7, 2005 Mitsuru Kakizaki 2
Outline
1. Motivation2. Constraints from hadronic EDMs3. Hadronic EDMs in SUSY SU(5) GUTs
with right-handed neutrinos4. Hadronic EDM constraints on orbifold GUTs5. Summary
June 7, 2005 Mitsuru Kakizaki 3
Grand unified theories (GUTs)
Unification of quarks and leptons:e.g. SU(5) GUT:
Unification of gauge groups in standard model:
Strong interaction (SU(3)C)}SU(2)L X U(1)Y}Electromagnetic interaction
Weak interaction GUT
Correlation between quark and lepton flavor structuresCorrelation between quark and lepton flavor structures
Charge quantization
June 7, 2005 Mitsuru Kakizaki 4
Fermion Boson
Gaugino Gauge bosone.g. Quark Squark
Supersymmetric standard model
Generation indices
e.g. soft sfermion mass terms:
Supersymmetry (SUSY):
Superparticles have never discovered
(Soft) SUSY breaking terms are requaired
New flavor-dependent parameters are introducedNew flavor-dependent parameters are introduced
One of solutions to hierarchy problem
SUSY must be broken
Superpatner
June 7, 2005 Mitsuru Kakizaki 5
SUSY flavor problem
Severe constraint:
e.g. K meson mixing:
Generic sfermion masses and mixings Unacceptably large flavor changing processes [flavor changing neutral current (FCNC), lepton flavor violation (LFV)]
Generic sfermion masses and mixings Unacceptably large flavor changing processes [flavor changing neutral current (FCNC), lepton flavor violation (LFV)]
c.f. in SM, GIM mechanism adequately suppresses FC processes
June 7, 2005 Mitsuru Kakizaki 6
Attempts to solve SUSY flavor problem
2. Alignment:
1. Degeneracy:e.g. minimal supergravity (mSUGRA):
Sfermion masses arise in flavor blind manner at high energy scale Generation mixing is induced only by RG effects
Both fermion and sfermion generation mixings are controlled by same flavor physics at high energy scale
Various attempts are distinguished by operative and future experiments searching for rare processes
(e.g. at )
June 7, 2005 Mitsuru Kakizaki 7
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 GUTsBy investigating correlations between hadronic and leptonic observables, we can probe structure of SUSY GUTs
SUSY GUTs
Attention to K, B physics, LFV decays and EDMs
June 7, 2005 Mitsuru Kakizaki 8
Investigation of hadronic EDMs coming from squark flavor mixings 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 7, 2005 Mitsuru Kakizaki 9
Outline
1. Motivation2. Constraints from hadronic EDMs3. Hadronic EDMs in SUSY SU(5) GUTs
with right-handed neutrinos4. Hadronic EDM constraints on orbifold GUTs5. Summary
June 7, 2005 Mitsuru Kakizaki 10
CP violation at dimension five level:
2. Constraints from hadronic EDMs
Quark CEDMs Quark EDMs
Electric dipole moments (EDMs): T-odd observables
KM phase does not induce detectable EDMsEDMs are sensitive to CP violation beyond SM
Constraint on QCD theta parameter is relaxed by PQ symmetry
June 7, 2005 Mitsuru Kakizaki 11
Quark CEDM contributions to hadronic EDMs
EDM of 199Hg atom:
EDM of neutron:
[Hisano,Shimizu(2004)]
[Hisano,Shimizu(2004)]
CP violation
T-violating nuclear force
CP violation
mixing
Quark EDM contributions are comparable to those from CEDMsExperimental bound:
Experimental bound:
June 7, 2005 Mitsuru Kakizaki 12
Stringent constraints on products of LL and RR mixings:Stringent constraints on products of LL and RR mixings:
SUSY contributions to CEDMs CP violating off-diagonal elements in squark mass matrices
CEDMs are enhanced by heavier quark masses due to chirality flip nature
CEDMs:
June 7, 2005 Mitsuru Kakizaki 13
Outline
1. Motivation2. Constraints from hadronic EDMs3. Hadronic EDMs in SUSY SU(5) GUTs
with right-handed neutrinos4. Hadronic EDM constraints on orbifold GUTs5. Summary
June 7, 2005 Mitsuru Kakizaki 14
High energy SUSY breaking scenarios
Large top Yukawa coupling and CKM matrix
EDM experiments actually constrain RR sdown mixings:c.f.
LL sdown mixings inevitably arise due to RG effects:
Severe constraints on CP violating 1-3 and 2-3 mixings in RR sdown sectorSevere constraints on CP violating 1-3 and 2-3 mixings in RR sdown sector
June 7, 2005 Mitsuru Kakizaki 15
SUSY SU(5) GUTs with right-handed neutrinos
GUT CP phases
SU(5)SU(5)
SU(5) Unification:
Squark and slepton mixings are correlated:
Large neutrino Yukawa coupling and mixings
Rad. cor.
Left-handed (LL) slepton mixing Right-handed (RR) sdown mixing
[Hisano,Shimizu(2003); Ciuchini,Masiero,Silvestrini,Vempati,Vives(2003)]
LFV, leptonic EDMs, … Hadronic EDMs, CP asym. in , …
June 7, 2005 Mitsuru Kakizaki 16
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,
Strange quark CEDM Down quark CEDM
June 7, 2005 Mitsuru Kakizaki 17
Hadronic EDM vs other observables
c.f. experimental bounds:
Lepton sector:
Hadronic EDM experiments severely constrain
Branching ratios for LFV tau decays: Muon EDM:
Deviation of CP asym. in from SM prediction should be suppressed [Hisano,Shimizu(2003,2004)]
Hadron sector:
June 7, 2005 Mitsuru Kakizaki 18
Branching ratios for LFV decays in SUSY SU(5) GUT with right-handed neutrinos
By investigating correlations between results of hadronic EDMs and LFV searches, we can test SUSY GUT models
By investigating correlations between results of hadronic EDMs and LFV searches, we can test SUSY GUT models
Right-handed tau neutrino mass
Future
Future (MEG)
June 7, 2005 Mitsuru Kakizaki 19
Outline
1. Motivation2. Constraints from hadronic EDMs3. Hadronic EDMs in SUSY SU(5) GUTs
with right-handed neutrinos4. Hadronic EDM constraints on orbifold GUTs5. Summary
June 7, 2005 Mitsuru Kakizaki 20
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
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 7, 2005 Mitsuru Kakizaki 21
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:
for
Zero modes of Zero modes of
[Romanino, Strumia (1996)]
LL and RR up-type squark mixings Up quark CEDM RR slepton mixing LFVLL and RR up-type squark mixings Up quark CEDM RR slepton mixing LFV
June 7, 2005 Mitsuru Kakizaki 22
Up quark CEDM and in orbifold GUT
Marginal up quark CEDM is induced as well as LFV decays Marginal up quark CEDM 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 7, 2005 Mitsuru Kakizaki 23
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 up quark CEDM to experimental boundObservable LFV decays from RR slepton mixing
June 7, 2005 Mitsuru Kakizaki 24
Backup slides
Significant effects of second KK particles on LKP dark matter physics
Mitsuru Kakizaki (ICRR, University of Tokyo)Jan. 23, 2005 @ Univ. of Oxford
Collaborated with Shigeki Matsumoto (ICRR) Yoshio Sato (Saitama Univ.) Masato Senami (ICRR) hep-ph/0502059
Kaluza-Klein (KK) dark matter physics is drastically affected by second KK particles in universal extra dimension (UED) models Reevaluation of relic density of KK dark matter KK dark matter mass consistent with WMAP increases
Kaluza-Klein (KK) dark matter physics is drastically affected by second KK particles in universal extra dimension (UED) models Reevaluation of relic density of KK dark matter KK dark matter mass consistent with WMAP increases
Large enhancement of KK dark matter annihilation ratedue to threshold singularity
Mitsuru Kakizaki (ICRR, University of Tokyo)Dec. 8, 2004 @ UC Irvine
Collaborated with Shigeki Matsumoto and Masato Senami (ICRR), in preparation
Kaluza-Klein (KK) dark matter annihilation cross section is significantly enhanced due to the threshold singularity in the non-relativistic (NR) limit
Kaluza-Klein (KK) dark matter annihilation cross section is significantly enhanced due to the threshold singularity in the non-relativistic (NR) limit
June 7, 2005 Mitsuru Kakizaki 27
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.
June 7, 2005 Mitsuru Kakizaki 28
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 7, 2005 Mitsuru Kakizaki 29
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
June 7, 2005 Mitsuru Kakizaki 30
Superpotential:
Quark and lepton superfields:
Flavor structure of SUSY SU(5) GUT with right-handed neutrinos
GUT phases (independent of CKM phase
Quark mixing (CKM) matrix
Lepton mixing (MNS) matrix
June 7, 2005 Mitsuru Kakizaki 31
199Hg atom EDM
CP violating interaction:
T violating nuclear force:
Interaction between nuclear and electron:
Spin of nuclear
EDM of 199Hg atom
June 7, 2005 Mitsuru Kakizaki 32
[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
June 7, 2005 Mitsuru Kakizaki 33
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 7, 2005 Mitsuru Kakizaki 34
Charged lepton flavor violation (LFV) in SUSY seesaw model
Flavor changing right-handed neutrino Yukawa coupling
Radiative corrections Slepton LL mixings:
may be detected in foreseeable future
Observation of neutrino oscillations
[Borzumati, Masiero(1986)]
Lepton mixing matrix:
LFV:
June 7, 2005 Mitsuru Kakizaki 35
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 7, 2005 Mitsuru Kakizaki 36
Deutron EDM experiment[Semertzidis et al, hep-ex/0308063]
Candidates: BNL, IUCF, KVI
Sensitivity: