Single Slepton Production in association with a single Top Quark at the Tevatron and LHC

We calculate the total cross section for single charged slepton production in association with a top quark at hadron colliders in the baryon triality (B$_3$) supersymmetric model. We compute event rates for the Tevatron and LHC. We study the signatures for different supersymmetric scenarios including neutralino and stau LSPs. We perform a detailed analysis with basic cuts for the B$_3$ operator $\lam^\prime_{231}$ using Monte Carlo simulations to show that the signal can be distinguished from the background at the LHC. In particular we employ the resulting lepton charge asymmetry.