Simultaneous solution to B --> phi K CP Asymmetry and B --> eta(prime) K, eta K^* branching ratio anomalies from R-parity violation

Abstract

The branching ratios for the neutral and charged B decay channels to $η' K$ and $ηK^*$ are well above the Standard Model expectations. Moreover, the mixing-induced CP asymmetry in $B \to ϕK_S$ is incompatible to that found in $B\to J/ψK_S$. We investigate whether a flavour-specific tree-level $b\to s \bar{s} s$ operator coming from R-parity violating supersymmetry can resolve both these discrepancies, without jeopardizing those results which are in agreement with the Standard Model. We found that it is possible to have a parameter space satisfying all these requirements, including that of a low strong phase difference compatible with the color transparency argument. Furthermore, we put a robust bound on the relevant coupling, which is two orders of magnitude better than the existing one.