Supersymmetry andCPviolation in|ΔS|=1τdecays

Abstract

We compute the supersymmetry (SUSY) effective Hamiltonian that describes the $|\ensuremath{\Delta}S|=1$ semileptonic decays of tau leptons. We provide analytical expressions for supersymmetric contribution to $\ensuremath{\tau}\ensuremath{\rightarrow}u\overline{s}{\ensuremath{\nu}}_{\ensuremath{\tau}}$ transition in mass insertion approximation. We show that SUSY contributions may enhance the $CP$ asymmetry of $\ensuremath{\tau}\ensuremath{\rightarrow}K\ensuremath{\pi}{\ensuremath{\nu}}_{\ensuremath{\tau}}$ decays by several orders of magnitude with respect to the standard model expectations. However, the resulting asymmetry is still well below the current experimental limits obtained by CLEO Collaborations. We emphasize that measuring $CP$ rate asymmetry in this decay larger than ${10}^{\ensuremath{-}6}$ would be a clear evidence of physics beyond the supersymmetric extensions of the standard model.