Electric Dipole Moments Electric Dipole Moments in PseudoDirac in PseudoDirac

GauginosGauginos

Electric Dipole Moments Electric Dipole Moments in PseudoDirac in PseudoDirac

GauginosGauginos

Minoru Nagai 　(ICRR, Univ. of Tokyo)

Mar. 1, 2007

KEK Annual Theory Meeting on Particle Physics Phenomenology (KEKPH2007)

Collaborated with: J.Hisano (ICRR)

T.Naganawa (ICRR)M.Senami (ICRR)

Phys.Lett.B644:256-264 (2007)

1. Introduction1. 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.

Generation of gaugino mass terms by singlet fields is upsetted by

Majorana gaugino mass

SUSY CP Problem Polonyi Problem

Hierarchy problem Dark Matter Candidates GUT, Light Higgs, Radiative EWSB…

Gaugino mass

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 to1. suppress the phases

2. prepare heavy SUSY particles

3. extend MSSM

Small with unchanged

Polonyi Problem

These problems may imply that there is no singlet fields that mediate SUSY breaking.

Gaugino can have Dirac masses and get small majorana masses

We disscuss this PseudoDirac Gaugino (PDG) models for a framework to solve the SUSY CP problem

PseudoDirac Gaugino (PDG)

How about gaugino masses?

• 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.

(Constraint from cosmology)

Anomaly mediation

Suppression of EDMs

[M.Ibe, Y.Shinbara and T.Yanagida (2006)]

Plan of my talkPlan of my talk

1. Introduction2. PseudoDirac Gaugino (PDG)

Models3. EDMs in PDG models4. Conclusion

1. Introduction2. PseudoDirac Gaugino (PDG)

Models3. EDMs in PDG models4. Conclusion

2. PseudoDirac Gaugino (PDG) Models2. PseudoDirac Gaugino (PDG) Models

Adjoint fields

SM gauge fields

Hidden sector U(1) gauge

field

Dirac Gaugino Mass terms

Majorana Gaugino mass

“No Singlet” cf) sfermion soft masses

U(1)R charge : Supersymmetric Adjoint fields mass

vanish in U(1)R symmetric limit

(model dependent)

We assume

PseudoDirac Gaugino Models

[P.Fox, A.Nelson and N.Weiner(2002)]

A low energy spectrum in PDG modelsA low energy spectrum in PDG modelsBachelor Fields [P.Fox, A.Nelson and

N.Weiner(2002)]Due to the existence of adjoint fields, gauge coupling unification is spoiled.

Adjoint fields + Bachelor fields = GUT multiplet

⇒ 　 Bachelor Fields are introduced to recover the unification.

A terms

Sfermion soft masses

“No Singlet”

0 2.5 5 7.5 10 12.5 15 17.50

10

20

30

40

50

60For the successful unification, bachelor masses must be

Here we adopt SU(5) GUT and take SU(3)

SU(2)

U(1)Y

We take universal mass at the GUT scale.Radiative correction by Dirac mass terms are finite and don’t have logarithm. (“supersoft”)

3. Electric Dipole Moments in PDG models3. Electric Dipole Moments in PDG models

CP phases in the MSSM

Additional Phases that appear by extending gaugino sector

CP phases are aligned.

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 : 7 - 3 = 4

This phase contribute to the Weinberg operator at 2 loop level

We can also take and real

Using above symmetries we take

Neutron EDM :

Estimation of neutron and electron EDMs (1)Estimation of neutron and electron EDMs (1)The phase of gaugino majorana masses

Electron EDM :

: Universal Dirac gaugino mass at GUT scale

: Universal sfermion soft mass at GUT scale

EDMs are suppressed by small gaugino majorana masses

Current bounds

Estimation of neutron and electron EDMs (2)Estimation of neutron and electron EDMs (2)

Neutron EDM :

Electron EDM :

The phase of supersymmetric adjoint masses

: Universal Dirac gaugino mass at GUT scale

: Universal sfermion soft mass at GUT scale

Supersymmetric adjoint masses must be small to suppress EDMs

U(1)R symmetric limit

Current bounds

We discussed electric dipole moments in pseudoDirac gaugino models where new adjoint fields are introduced and gauginos have Dirac mass terms.

4. Conclusion4. Conclusion

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.

Back Up SlideBack Up Slide

induce .

Supersymmetric adjoint mass Supersymmetric adjoint mass

U(1)R charge :

Supersymmetric Adjoint fields mass

vanish in the superpotential in the U(1)R symmetric limit

We assume

( : model dependent)

Even if is zero at tree level, they can be generated radiatively. For example, interactions with heavy chiral field X and X,

But they can be generated in the

chiral compensatorEx.)

Some mechanism may be needed to suppress this term.