1. Electric Dipole Moments in PseudoDirac Gauginos
Minoru Nagai　
(ICRR, Univ. of Tokyo)
Phys.Lett.B644: (2007)
Collaborated with:
J.Hisano (ICRR)
T.Naganawa (ICRR)
M.Senami (ICRR)
Mar. 1, 2007
KEK Annual Theory Meeting on Particle Physics Phenomenology (KEKPH2007)

2. 1. Introduction
Low energy SUSY models are the most well-motivated model beyond the Standard Model.
We haven’t discovered SUSY particles yet.
SUSY must be broken.
Hierarchy problem
Dark Matter Candidates
GUT, Light Higgs, Radiative EWSB…
Gaugino mass
Majorana gaugino mass
Generation of gaugino mass terms by singlet fields is upsetted by
SUSY CP Problem
Polonyi Problem

3. To solve this problem, we need to
SUSY CP Problem (Constraint from EDMs)
Complex parameters in MSSM
O(1) CP phases of these parameters induce too large EDMs.
ex) Constrained MSSM
CP & P violating Dim 5 operator
From neutron EDM experiments,
To solve this problem, we need to
suppress the phases
prepare heavy SUSY particles
extend MSSM
Small with unchanged

4. These problems may imply that
Polonyi Problem
(Constraint from cosmology)
Overclosure of the universe ⇒ Late time decay
Gravitino Overproduction
Destroy the success of BBN ⇒
Is it escaped by introducing dynamical symmetry breaking scale?
⇒　No. It can’t be operative since the linear term of singlet fields
destabilize the potential minimum.
[M.Ibe, Y.Shinbara and T.Yanagida (2006)]
These problems may imply that
there is no singlet fields that mediate SUSY breaking.
How about gaugino masses?
Anomaly mediation
Gaugino can have Dirac masses and get small majorana masses
PseudoDirac Gaugino (PDG)
Suppression of EDMs
We disscuss this PseudoDirac Gaugino (PDG) models for a framework to solve the SUSY CP problem

5. Plan of my talk Introduction PseudoDirac Gaugino (PDG) Models
EDMs in PDG models
Conclusion

6. 2. PseudoDirac Gaugino (PDG) Models
Majorana Gaugino mass
“No Singlet”
cf) sfermion soft masses
Dirac Gaugino Mass terms
[P.Fox, A.Nelson and N.Weiner(2002)]
SM gauge fields
Adjoint fields
Hidden sector U(1) gauge field
U(1)R charge :
Supersymmetric Adjoint fields mass
(model dependent)
vanish in U(1)R symmetric limit
We assume
PseudoDirac Gaugino Models

7. A low energy spectrum in PDG models
Bachelor Fields
[P.Fox, A.Nelson and N.Weiner(2002)]
Due to the existence of adjoint fields, gauge coupling unification is spoiled.
⇒　Bachelor Fields are introduced to recover the unification.
Adjoint fields + Bachelor fields = GUT multiplet
For the successful unification, bachelor masses must be
2.5 5
7.5 10
12.5 15
17.5 20 30 40 50 60
U(1)Y
SU(2)
Here we adopt SU(5) GUT and take
SU(3)
Sfermion soft masses
We take universal mass at the GUT scale.
Radiative correction by Dirac mass terms are finite and don’t have logarithm.
(“supersoft”)
A terms
“No Singlet”

8. 3. Electric Dipole Moments in PDG models
CP phases in PDG models
Complex parameters :
D.o.f. for rephasing of adjoint fields in addition to and
GUT & universality of gaugino masses and A terms
# of physical phases : = 4
We can also take and real
Using above symmetries we take
CP phases in the MSSM
CP phases are aligned.
Additional Phases that appear by extending gaugino sector
This phase contribute to the Weinberg operator at 2 loop level

9. Estimation of neutron and electron EDMs (1)
The phase of gaugino majorana masses
Current bounds
Neutron EDM :
Electron EDM :
: Universal Dirac gaugino mass at GUT scale
: Universal sfermion soft mass at GUT scale
EDMs are suppressed by small gaugino majorana masses

10. Estimation of neutron and electron EDMs (2)
The phase of supersymmetric adjoint masses
Current bounds
Neutron EDM :
Electron EDM :
: Universal Dirac gaugino mass at GUT scale
: Universal sfermion soft mass at GUT scale
U(1)R symmetric limit
Supersymmetric adjoint masses must be small to suppress EDMs

11. 4. Conclusion
We discussed electric dipole moments in pseudoDirac gaugino models where new adjoint fields are introduced and gauginos have Dirac mass terms.
The contributions of MSSM CP phases to EDMs are suppressed since A terms and gaugino masses are small in this model.
New CP phases are introduced by extending the gaugino sector. These phases may contribute to EDMs significantly but they vanish in the exact U(1)R limit.
The predicted values of EDMs are within the reach of near future experiments and we can check this scenario.

12. Back Up Slide

13. Supersymmetric adjoint mass
Supersymmetric Adjoint fields mass
( : model dependent)
U(1)R charge :
vanish in the superpotential in the U(1)R symmetric limit
But they can be generated in the
Ex.)
chiral compensator
Even if is zero at tree level, they can be generated radiatively. For example, interactions with heavy chiral field X and X,
induce
We assume
Some mechanism may be needed to suppress this term.