Electric Dipole Moments in PseudoDirac Gauginos

1. 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)

2. Majorana gaugino mass 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 Generation of gaugino mass terms by singlet fields is upsetted by • SUSY CP Problem • Polonyi Problem

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

4. These problems may imply that there is no singlet fields that mediate SUSY breaking. • 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)] Anomaly mediation How about gaugino masses? 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. “No Singlet” We assume 2. PseudoDirac Gaugino (PDG) Models Majorana Gaugino mass 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 PseudoDirac Gaugino Models

7. 60 50 40 30 20 10 0 0 2.5 5 7.5 10 12.5 15 17.5 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 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. Using above symmetries we take We can also take and real 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 : 7 - 3 = 4 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 discussedelectric dipole moments in pseudoDirac gaugino modelswhere new adjoint fields are introduced and gauginos have Dirac mass terms. • The contributions of MSSM CP phases to EDMs are suppressedsince A terms and gaugino masses are smallin 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. ( : model dependent) We assume Supersymmetric adjoint mass Supersymmetric Adjoint fields mass 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 . Some mechanism may be needed to suppress this term.