Charmless Non-Leptonic B Decays and R-parity Violating Supersymmetry

We examine the charmless hadronic B decay modes in the context of R-parity violating ($\text{rpv}$) supersymmetry. We try to explain the large branching ratio (compared to the Standard Model (SM) prediction) of the decay $B^{\pm}\to \eta’ K^{\pm}$\mathrm{.}Thereexistdataforotherobserved$\eta^{(\prime)}$ modes and among these modes, the decay $B^0\to \eta K^{\ast 0}$ is also found to be large compared to the SM prediction. We investigate all these modes and find that only two pairs of $\text{rpv}$ coupling can satisfy the requirements without affecting the other $B\text{ra}PP$ and $B\text{ra}VP$ decay modes barring the decay $B\text{ra}\varphi K$. From this analysis, we determine the preferred values of the $\text{rpv}$ couplings and the effective number of color $N_c$. We also calculate the CP asymmetry for the observed decay modes affected by these new couplings.