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

We examine the possible resolution of the recently observed polarization anomaly in B0(bar{B}0) -> phi K*0(bar{K}*0) decay within R-parity violating (RPV) SUSY. We show that a combination of the superpotential trilinear (RPV)-interactions, with the couplings lambda', and the soft SUSY breaking bilinear RPV, sneutrino-Higgs mixing, proportional to tilde{mu}**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 -> mu+ mu- decay lead to stringent upper limits on the Wilson coefficients of these operators, which are about two orders of magnitude below the values required for the resolution of the B-decay polarization anomaly, and, therefore, it can hardly be explained within the RPV SUSY framework. As a byproduct result of our analysis we derive new limits on the products of the soft bilinear and the superpotential trilinear RPV-parameters of the form tilde{mu}**2 * lambda'.