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Supersymmetric Time Reversal Violation in Semileptonic Decays of Charged Mesons

We provide a general analysis of time reversal violation arising from misalignment between quark and squark mass eigenstates. In particular, we focus on the possibility of large enhancement effects due to the top quark mass. For semileptonic decays of the charged mesons, $K^+ \rightarrow π^0 μ^+ ν_μ$, $D^+ \rightarrow \overline{K}^0 μ^+ ν_μ$, and $B^+ \rightarrow \overline{D}^0 τ^+ ν_τ$, the transverse polarization of the lepton $P^{\bot}_l$ is a $T$-odd observable that is of great experimental interest. It is noted that under favorable choice of parameters, $P^{\bot}_μ$ in $K^+_{\mu3}$ decay can be detectable at the ongoing KEK experiment and it holds a promising prospect for discovery at the proposed BNL experiment. Furthermore, $P^{\bot}_τ$ in $B^{\pm}$ decay could well be within the reach of $B$ factories, but $P^{\bot}_μ$ in $D^{\pm}$ decay is not large enough for detection at the proposed $τ$-charm factory.