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Electric Dipole Moments in PseudoDirac Gauginos. Minoru Nagai (ICRR, Univ. of Tokyo). Phys.Lett.B644:256-264 (2007). Collaborated with: J.Hisano (ICRR) T.Naganawa (ICRR) M.Senami (ICRR). Mar. 1, 2007. KEK Annual Theory Meeting on Particle Physics Phenomenology (KEKPH2007). - PowerPoint PPT Presentation
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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.