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Hadronic EDMs in SUSY GUTs

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e.g. K meson mixing: Generic sfermion masses and mixings ... Constraint on CP asymmetry in B meson system. June 7, 2005. Mitsuru Kakizaki. 9. Outline ... – PowerPoint PPT presentation

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Title: Hadronic EDMs in SUSY GUTs


1
Hadronic EDMs in SUSY GUTs
Mitsuru Kakizaki (ICRR, Univ. of Tokyo)
Jun. 7, 2005 _at_ KIAS
  • 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

We investigate hadronic EDMs induced by CP
violating squark mixings
2
Outline
  • Motivation
  • Constraints from hadronic EDMs
  • Hadronic EDMs in SUSY SU(5) GUTs with
    right-handed neutrinos
  • Hadronic EDM constraints on orbifold GUTs
  • Summary

New
New
3
Grand unified theories (GUTs)
  • Unification of gauge groups in standard model


Electromagnetic interaction

SU(2)L X U(1)Y
GUT
Weak interaction
Strong interaction (SU(3)C)
Charge quantization
  • Unification of quarks and leptons

e.g. SU(5) GUT
Correlation between quark and lepton flavor
structures
4
Supersymmetric standard model
Fermion Boson
  • Supersymmetry (SUSY)

e.g. Quark Squark
Gaugino Gauge boson
Superpatner
One of solutions to hierarchy problem
  • Superparticles have never discovered

SUSY must be broken
(Soft) SUSY breaking terms are requaired
e.g. soft sfermion mass terms
Generation indices
New flavor-dependent parameters are introduced
5
SUSY flavor problem
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
  • e.g. K meson mixing

Severe constraint
6
Attempts to solve SUSY flavor problem
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

(e.g. at )
2. Alignment
  • 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
7

SUSY GUTs
  • 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
Attention to K, B physics, LFV decays and EDMs
8
  • Hadronic EDM experiments severely constrain
    CP violating squark generation mixing in SUSY
    models

Constraint on CP asymmetry in B meson system
Hisano,Shimizu(2003,2004)
Purpose of this talk
  • 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

9
Outline
  • Motivation
  • Constraints from hadronic EDMs
  • Hadronic EDMs in SUSY SU(5) GUTs with
    right-handed neutrinos
  • Hadronic EDM constraints on orbifold GUTs
  • Summary

New
New
10
2. Constraints from hadronic EDMs
  • Electric dipole moments (EDMs) T-odd observables

KM phase does not induce detectable EDMs
EDMs are sensitive to CP violation beyond SM
  • CP violation at dimension five level

Quark CEDMs
Quark EDMs
  • Constraint on QCD theta parameter is relaxed by
    PQ symmetry

11
Quark CEDM contributions to hadronic EDMs
  • EDM of neutron

Hisano,Shimizu(2004)
Quark EDM contributions are comparable to those
from CEDMs
Experimental bound
  • EDM of 199Hg atom

T-violating nuclear force
Hisano,Shimizu(2004)
Experimental bound
12
SUSY contributions to CEDMs
  • CP violating off-diagonal elements in squark
    mass matrices

CEDMs
CEDMs are enhanced by heavier quark masses due
to chirality flip nature
Stringent constraints on products of LL and RR
mixings
13
Outline
  • Motivation
  • Constraints from hadronic EDMs
  • Hadronic EDMs in SUSY SU(5) GUTs with
    right-handed neutrinos
  • Hadronic EDM constraints on orbifold GUTs
  • Summary

New
New
14
High energy SUSY breaking scenarios
  • Large top Yukawa coupling and CKM matrix

LL sdown mixings inevitably arise due to RG
effects
EDM experiments actually constrain RR sdown
mixings
c.f.
Severe constraints on CP violating 1-3 and 2-3
mixings in RR sdown sector
15
SUSY SU(5) GUTs with right-handed neutrinos
  • SU(5) Unification

Squark and slepton mixings are correlated
Hisano,Shimizu(2003) Ciuchini,Masiero,Silvestrin
i,Vempati,Vives(2003)
  • Large neutrino Yukawa coupling and mixings

GUT CP phases
SU(5)
Rad. cor.
Left-handed (LL) slepton mixing
Right-handed (RR) sdown mixing
Hadronic EDMs, CP asym. in , …
LFV, leptonic EDMs, …
16
CEDM in SUSY SU(5) GUT with right-handed
neutrinos
New
Strange quark CEDM
Down quark CEDM
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

17
Hadronic EDM vs other observables
  • Hadron sector

Hadronic EDM experiments severely constrain
Deviation of CP asym. in from SM
prediction should be suppressed
Hisano,Shimizu(2003,2004)
  • Lepton sector
  • Branching ratios for LFV tau decays
  • Muon EDM

c.f. experimental bounds
18
Branching ratios for LFV decays in SUSY SU(5)
GUT with right-handed neutrinos
New
Future
Future (MEG)
Right-handed tau neutrino mass
  • By investigating correlations between results of
    hadronic EDMs and LFV searches, we can test SUSY
    GUT models

19
Outline
  • Motivation
  • Constraints from hadronic EDMs
  • Hadronic EDMs in SUSY SU(5) GUTs with
    right-handed neutrinos
  • Hadronic EDM constraints on orbifold GUTs
  • Summary

New
New
20
4. Hadronic EDM constraints on orbifold GUTs
  • Boundary conditions in extra dimension

GUT, SUSY
Hall,Nomura, PRD66,075004(2002)
SM brane
SU(5) brane
SU(5) bulk
Spacetime
Gauge multiplets
Gauge multiplet Higgs mutiplets
Higgs doublets
in MSSM
  • Realization of light Higgs doublets and heavy
    Higgs triplets
  • Gauge coupling unification
  • Suppression of proton decay
  • Fermion mass hierarchy via volume suppression
  • Unification of bottom and tau mass
  • Soft SUSY terms only for bulk fields
    FCNC suppression

21
Sfermion mixings in orbifold GUT
  • Bulk fields are responsible for fermion mass
    hierarchy and SUSY parameters

Zero modes of
Zero modes of
Sfermion flavor mixings arise at tree level for
10-plets
  • c.f. Minimal SUSY SU(5) GUT with mSUGRA boundary
    condition

Sfermion flavor mixings are loop-suppressed
Romanino, Strumia (1996)
for
22
Up quark CEDM and in orbifold GUT
New
Up quark CEDM
Branching ratio for
Neutron EDM
Hg EDM
MEG (Future)
Deutron EDM (Future)
  • Maximal CP phase,
  • Marginal up quark CEDM is induced as well as LFV
    decays

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
bound Observable LFV decays from RR slepton mixing
24
Backup slides
25
Significant effects of second KK particles on LKP
dark matter physics
Mitsuru Kakizaki (ICRR, University of Tokyo)
Jan. 23, 2005 _at_ 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

26
Large enhancement of KK dark matter annihilation
rate due to threshold singularity
Mitsuru Kakizaki (ICRR, University of Tokyo)
Dec. 8, 2004 _at_ 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

27
Supersymmetric standard model and 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.
28
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

29
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

30
Flavor structure of SUSY SU(5) GUT with
right-handed neutrinos
  • Quark and lepton superfields
  • Superpotential

Quark mixing (CKM) matrix
Lepton mixing (MNS) matrix
GUT phases (independent of CKM phase
31
199Hg atom EDM
  • CP violating interaction

T violating nuclear force
Interaction between nuclear and electron
Spin of nuclear
EDM of 199Hg atom
32
vs CP asymmetry for
Hisano, Shimizu(2003,2004)
  • Consider case when CP violation is originated
    only from

Neutron EDM bound suggest no deviation of CP
asymmetry for from SM prediction
From Hisano, Shimizu(2004)
  • Sizable deviation should come from

33
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

34
Charged lepton flavor violation (LFV) in SUSY
seesaw model
  • Observation of neutrino oscillations

Lepton mixing matrix
Flavor changing right-handed neutrino Yukawa
coupling
  • Radiative corrections Slepton LL
    mixings

Borzumati, Masiero(1986)
LFV
may be detected in foreseeable future
35
SUSY SU(5) GUTs with right-handed neutrinos
  • Neutrino mixings
  • CKM mixings

Left-handed sdown mixings
Left-handed slepton mixings
SU(5)
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

Hadronic and leptonic EDMs
36
Deutron EDM experiment
Semertzidis et al, hep-ex/0308063
  • Sensitivity
  • Candidates BNL, IUCF, KVI
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