Large Hadron Collider constraints on a light baryon-number violating sbottom coupling to a top and a light quark

We investigate a model of R-parity violating (RPV) supersymmetry in which the right-handed sbottom is the lightest supersymmetric particle, and a baryon-number violating coupling involving a top is the only non-negligible RPV coupling. This model evades proton decay and flavour constraints. We consider in turn each of the couplings λ313'' and λ323'' as the only non-negligible RPV coupling, and we recast a recent LHC measurement (CMS top transverse momentum pT(t) spectrum) and a LHC search (ATLAS multiple jet resonance search) in the form of constraints on the mass.coupling parameter planes. We delineate a large region in the parameter space of the mass of the sbottom (m antibR) and the λ313'' coupling that is ruled out by the measurements, as well as a smaller region in the parameter space of m antibR and λ313''. A certain region of the m antibR - λ313'' parameter space was previously found to successfully explain the anomalously large t anti t forward.backward asymmetry measured by Tevatron experiments. This entire region is now excluded at the 95% confidence level (CL) by CMS measurements of the pT(t) spectrum. We also present pT(t anti t) distributions of the Tevatron t anti t forward - backward asymmetry for this model. (orig.)