1. Hadronic EDMs in SUSY GUTs
Mitsuru Kakizaki (ICRR, Univ. of Tokyo)
Jan. 13, YITP
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/ ]
J. Hisano, M. K. and M. Nagai, in preparation
We investigate effects and constraints of hadronic EDMs on SUSY GUT models
January 13, 2004
Mitsuru Kakizaki

2. 1. Motivation

3. Supersymmetric standard model and SUSY flavor problem
Supersymmetry (SUSY):
Fermion boson
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.
January 13, 2004
Mitsuru Kakizaki

4. Idea SUSY SM with soft breaking terms: GUTs:
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 sector we can make predictions in lepton sector, and vice versa
SUSY GUTs are probed with K, B physics and
January 13, 2004
Mitsuru Kakizaki

5. Recently Hisano and Shimizu pointed out that hadronic EDM experiments severely constrain CP violating squark generation mixing in SUSY models
[Hisano—Shimizu(2003,2004)]
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 (a la Hall and Nomura)
January 13, 2004
Mitsuru Kakizaki

6. Contents New New Motivation Constraints from hadronic EDMs
Hadronic EDMs in SUSY SU(5) GUTs with right-handed neutrinos
Hadronic EDM in orbifold GUT
Summary
New
New
January 13, 2004
Mitsuru Kakizaki

7. 2. Constraints from hadronic EDMs

8. 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
January 13, 2004
Mitsuru Kakizaki

9. Estimates of hadronic EDMs
Neutron EDM:
CP violation
[Hisano—Shimizu(2003,2004)]
EDM of Hg atom:
CP violation
T-violating nuclear force
mixing
[Hisano—Shimizu(2003,2004)]
January 13, 2004
Mitsuru Kakizaki

10. CEDMs originated from squark mixings
CP violating off-diagonal elements in squark mass matrices
CEDMs of quarks：
CDEMs are enhanced by heavier quark masses
Stringent constraints on products of LL and RR mixings:　　　　　　　　　　　
January 13, 2004
Mitsuru Kakizaki

11. Constraints from EDM experiments
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
January 13, 2004
Mitsuru Kakizaki

12. 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
January 13, 2004
Mitsuru Kakizaki

13. 3. Hadronic EDMs in SUSY SU(5) GUTs with right-handed neutrinos

14. 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
January 13, 2004
Mitsuru Kakizaki

15. SUSY SU(5) GUTs with right-handed neutrinos
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)]
January 13, 2004
Mitsuru Kakizaki

16. EDM vs LFV Hadronic EDM experiments severely constrain
SU(5) GUT relation:
[Hisano,Shimizu(2003); Ciuchini,Masiero,Silvestrini,Vempati,Vives(2003)]
When CP violating phase are order of one,
upper limit of branching fraction of LFV tau decay are predicted:
c.f. Current upper bound:
January 13, 2004
Mitsuru Kakizaki

17. CEDM of strange quark in SUSY SU(5) GUT with right-handed neutrinos
New
Case of maximal CP phase
Deutron EDM (Future)
mSUGRA boundary condition
Right-handed tau neutrino mass
Null result of neutron EDM experiments already constrains mass of right-handed tau neutrino:
January 13, 2004
Mitsuru Kakizaki

18. CEDM of down quark in SUSY SU(5) GUT with right-handed neutrinos
New
Case of maximal CP phase
mSUGRA boundary condition
Deutron EDM (Future)
Right-handed tau neutrino mass
Future EDM experiment is sensitive to small region
January 13, 2004
Mitsuru Kakizaki

19. 4. Hadronic EDM in Orbifold GUT

20. 5-dim orbifold GUT a la Hall--Nomura
[Hall,Nomura, PRD66,075004(2002)]
Gauge, Higgs
SU(5)
SU(3)XSU(2)XU(1)
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
January 13, 2004
Mitsuru Kakizaki

21. Flavor structure in orbifold GUT
in 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 manifest and thus is not symmetric
January 13, 2004
Mitsuru Kakizaki

22. Up quark CEDM induced by squark mixing in orbifold GUT
New
Up quark CEDM induced by squark mixing in orbifold GUT
Bulk fields obtain SUSY breaking masses and couplings:
In basis of diagonal up quark mass matrix (superCKM basis)
In generic Up 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
January 13, 2004
Mitsuru Kakizaki

23. Up quark CEDM in orbifold GUT
New
Up quark CEDM in orbifold GUT
Hg EDM
Case of maximal CP phase
in order to subtract flavor conserving contribution
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
January 13, 2004
Mitsuru Kakizaki

24. 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
January 13, 2004
Mitsuru Kakizaki

25. Backup slides
January 13, 2004
Mitsuru Kakizaki

26. 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
January 13, 2004
Mitsuru Kakizaki

27. 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
January 13, 2004
Mitsuru Kakizaki

28. 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
January 13, 2004
Mitsuru Kakizaki

29. Flavor structure Quark and lepton superfields: Superpotential:
Quark mixing (CKM) matrix
Lepton mixing (MNS) matrix
GUT phases (independent of CKM phase
January 13, 2004
Mitsuru Kakizaki

30. 199Hg EDM CP violating interaction: T violating nuclear force:
Interaction between nuclear and electron:
Spin of nuclear
EDM of 199Hg atom
January 13, 2004
Mitsuru Kakizaki

31. vs CP asymmetry for
[Hisano, Shimizu(2003,2004)] SM
Belle(2004)
BaBar(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
[Endo, Mishima, Yamaguchi(2004)]
January 13, 2004
Mitsuru Kakizaki