On the possible resolution of the B-meson decay polarization anomaly in R-parity violating SUSY

�K ∗0 ( ¯ K ∗0 )-decay within R-parity violating (Rp / ) SUSY. We show that a combination of the superpotential trilinear Rp / -interactions, with the couplings � ′ , and the soft SUSY breaking bilinear Rp / sneutrino-Higgs mixing, proportional to ˜ 2 , can potentially generate the effective operators with the chirality structure necessary to account for this anomaly. However, we demonstrate that the existing experimental data on Bs ! µ + µ − -decay lead to stringent upper limits on the Wilson coefficients of these operators, which are about two orders ofmagnitude below the values required for the resolution of the B-decay polarization anomaly, and, therefore, it can hardly be explained within the Rp / SUSY framework. As a byproduct result of our analysis we derive new limits on the products of the soft bilinear and the superpotential trilinear Rp / -parameters of the form ˜ 2 � ′ .