Exploring the lepton flavor violating decay modes b s ^ ^ in SMEFT approach

We perform an analysis of the consequences of various new physics operators on the lepton flavor violating (LFV) decay modes mediated through b s ₁ ₂ transitions. We scrutinize the imprints of the (pseudo) scalar and axial (vector) operators on the exclusive LFV decay channels B (ₒ) (, K^*, K₂^*) ₁₂ and ₁ ₁₂, where ₁, ₂ represent or. The new physics parameters are constrained by using the upper limits of the branching fractions of the B and B K processes, assuming the new physics couplings to be real. We then explore the key observables such as the branching fraction, the forward-backward asymmetry, and the longitudinal polarisation fraction of the B (K^*, , K₂^*) ^ ^ decays. In addition, we also investigate the impact of the new physics couplings on the baryonic b ^ ^ decay channels mediated by the b s quark level transition. With the experimental prospects at LHCb upgrade and Belle II, we also predict the upper limits of the above-discussed observables, which could intrigue the new physics search in these channels.