The Rate Difference between the Weak Decays of $t$ and $\bar{t}$ in Supersymmetry

Abstract

We find that the $CP$-violating asymmetry $$ \frac{\Gamma \left(t \rightarrow bW^+ \right) - \Gamma \left(\bar{t} \rightarrow \bar{b}W^- \right)} {\Gamma \left(t \rightarrow bW^+ \right) + \Gamma \left(\bar{t} \rightarrow \bar{b}W^- \right)} $$ at the one-loop order within the minimal supersymmetric extension of the standard model is of the order of few per cent for maximal $CP$ violation. It could be measured by considering the rate difference in the one-lepton events.