hadronic edms in susy guts

July 12, 2005 Mitsuru Kakizaki 1

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

July 12, 2005 @ Nagoya University

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


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


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


Fermion 　　　 Boson

Gaugino 　　 Gauge bosone.g. Quark Squark

Supersymmetric standard model

Generation indices

e.g. soft sfermion mass terms:

Supersymmetry (SUSY):

No superparticle has been discovered

(Soft) SUSY breaking terms are required

New flavor-dependent parameters are introducedNew flavor-dependent parameters are introduced

One of solutions to hierarchy problem

SUSY must be broken

Superpatner


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


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 　 Sfermion generation mixings are 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 )


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


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


Outline




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


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:


Stringent constraints on imaginary parts of products of LL and RR mixings:Stringent constraints on imaginary parts of 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:


Outline




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


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:


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 , …


CEDM in SUSY SU(5) GUT with right-handed neutrinos

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

Null result of neutron EDM experiments already constrain 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. 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:


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)


Outline




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

[Kawamura(2000), Hall,Nomura(2001); Hall,Nomura, PRD66,075004(2002)]

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

Fermion mass hierarchy via volume suppression Unification of bottom and tau masses 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:

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


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


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 observables

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

Orbifold GUTs: Marginal up quark CEDM to experimental bound Observable LFV decays from RR slepton mixing


Backup slides


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 accidentally cancel


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


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


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 suggest no deviation of CP asymmetry for from SM prediction SM

Belle(2005)BaBar(2005)

[Hisano, Shimizu(2003,2004)]

Suppose that CP violation is originated only from

vs CP asymmetry for

Sizable deviation should come from


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)]


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


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

Candidates: BNL, IUCF, KVI

Sensitivity:

hadronic edms in susy guts

Documents