Triple product correlations in top squark decays

Abstract

We propose several T-odd asymmetries in the decay chains of the top squarks ${\tilde{t}}_m\to t{\tilde{\chi }}_k^0$ and $t\to b{W}^{+}\to bl\nu$ and ${\tilde{\chi }}_k^0\to l^{\pm }{\tilde{l}}_n^{\mp }\to l^{\pm }{l}^{\mp }{\tilde{\chi }}_1^0$, for $l=e,\mu ,\tau$. We calculate the asymmetries within the Minimal Supersymmetric Standard Model with complex parameters $M_1$, $\mu$ and $A_t$. We give the analytic formulae for the decay distributions. We present numerical results for the asymmetries and estimate the event rates necessary to observe them. The largest T-odd asymmetry can be as large as 40%.

Comments: 26 pages, 5 figures; misprints corrected; reference added