Analysis of CP Violation in Neutralino Decays to Tau Sleptons

Abstract

In the minimal supersymmetric standard model, tau sleptons $\tilde{\ddot{I}}{„}_{1,2}$ and neutralinos $\tilde{\ddot{I}}{‡}_{1,2}^0$ are expected to be among the lightest supersymmetric particles that can be produced copiously at future $e^{+}{e}^{-}$ linear colliders. We analyze $\tilde{\ddot{I}}„$ pair and $\tilde{\ddot{I}}{‡}_1^0\tilde{\ddot{I}}{‡}_2^0$ production under the assumption $m_{\tilde{\ddot{I}}{‡}_1^0}<m_{\tilde{\ddot{I}}{„}_1}<m_{\tilde{\ddot{I}}{‡}_2^0}$, allowing the relevant parameters of the SUSY Lagrangian to have complex phases. We show that the transverse and normal components of the polarization vector of the $\ddot{I}„$ lepton produced in $\tilde{\ddot{I}}{‡}_2^0$ decays offer sensitive probes of these phases.

LaTeX, 30 pages with 10 .eps figures