Constraints fromD−D¯mixing in supersymmetric left-right symmetric models

Abstract

We study the constraint arising from the recently observed $D\mathrm{\text{\ensuremath{-}}}\overline{D}$ mixing in the context of supersymmetric models with left-right symmetry. In these models, the supersymmetric contributions in the mixing amplitudes of $D\mathrm{\text{\ensuremath{-}}}\overline{D}$, $K\mathrm{\text{\ensuremath{-}}}\overline{K}$ and $B\mathrm{\text{\ensuremath{-}}}\overline{B}$ are all correlated. We compare the constraint from the $D\mathrm{\text{\ensuremath{-}}}\overline{D}$ mixing with the $K\mathrm{\text{\ensuremath{-}}}\overline{K}$ mixing and find that the $D\mathrm{\text{\ensuremath{-}}}\overline{D}$ mixing constrains the maximal supersymmetric contribution to the ${B}_{s}\mathrm{\text{\ensuremath{-}}}{\overline{B}}_{s}$ mixing amplitude. The maximal supersymmetric contribution can allow a large CP phase of ${B}_{s}\mathrm{\text{\ensuremath{-}}}{\overline{B}}_{s}$ mixing which agrees with the recent measurement of the CP asymmetry of ${B}_{s}\ensuremath{\rightarrow}J/\ensuremath{\psi}\ensuremath{\phi}$ decay.