CP Violating Phases, Nonuniversal Soft Breaking And D-brane Models

Abstract

The question of CP violating phases and electric dipole moments (EDMs)for the electron ($d_e$) and the neutron ($d_n$) for supergravity models with nonuniversal soft breaking is considered for models with a light ($\stackrel{<}{\sim }$1 TeV) mass spectrum and R-parity invariance. As with models with universal soft breaking (mSUGRA) one finds a serious fine tuning problem generally arises for ${\theta }_{0B}$ (the phase of the B soft breaking parameter at the GUT scale), if the experimental EDM constraints are obeyed and radiative breaking of $SU(2{)}_L\times U(1{)}_Y$ occurs. A D-brane model where $SU(3{)}_C\times U(1{)}_Y$ is associated with one set of 5-branes and $SU(2{)}_L$ with another intersecting set of 5-branes is examined, and the cancellation phenomena is studied over the parameter space of the model. Large values of ${\theta }_B$ (the phase of B at the electroweak scale) can be accommodated, though again ${\theta }_{0B}$ must be fine tuned. Using the conventional prescription for calculating $d_n$, one finds the region in parameter space where the experimental EDM constraints on both $d_e$ and $d_n$ hold is significantly reduced, and generally requires tan$\beta \stackrel{<}{\sim }$5 for most of the parameter space, though there are small allowed regions even for tan$\beta \stackrel{>}{\sim }$10. We find the Weinberg three gluon term generally makes significant contributions, and results are sensitive to the values of quark masses.

18 pages, latex, 11 figures

References in corpus (2)

• Electron and Neutron Electric Dipole Moments in the Constrained MSSM
• A Resolution to the Supersymmetric CP Problem with Large Soft Phases via D-branes

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