Decays $B \to \eta^{\prime} K$ in R-parity violating supersymmetry

Abstract

In light of the recent experimental data from $B$ factories, We try to explain the large branching ratio (compared to the Standard Model prediction) of the decay $B^{\pm}\to \eta' K^{\pm}$ in the context of R-parity violating ($\rpv$) supersymmetry. We investigate other observed $\eta^{(\prime)}$ modes and find that only two pairs of $\rpv$ coupling can satisfy the requirements without affecting the other $B \to PP$ and $B \to VP$ decay modes except the mode $B \to \phi K$. We also calculate the CP asymmetry for the observed decay modes affected by the new couplings.