Impact of Nonleptonic $\bar{B}_{d,s}$ Decay Modes on $\bar{B} \rightarrow \bar{K}^* \mu ^+ \mu ^-$ Process

Abstract

We scrutinize the effect of nonleptonic B decay modes on the branching ratio and angular observables of $\bar{B} \rightarrow \bar{K}^* \mu ^+ \mu ^-$ process involving $b \rightarrow s$ quark level transition in the non-universal $Z^\prime$ model. The new couplings are constrained by using the experimental limits on the branching ratios of $B_d \rightarrow \pi K$, $B_d \rightarrow \rho K$, and $B_s \rightarrow \eta ^\prime \eta ^\prime , K^* K^*$ nonleptonic processes. Using the allowed parameter space, we perform an angular analysis of the $\bar{B} \rightarrow \bar{K}^* \mu ^+ \mu ^-$ process. We observe significant impact of nonleptonic decay modes on $\bar{B} \rightarrow \bar{K}^* \mu ^+ \mu ^-$ observables.