Exploring the lepton flavor violating decay modes b → s μ ^±τ ^∓ 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 ℓ _1 ℓ _2 transitions. We scrutinize the imprints of the (pseudo)scalar and axial(vector) operators on the exclusive LFV decay channels B_(s)→ (ϕ, K^*, K_2^*)ℓ_1ℓ_2 and Λ_b→Λℓ_1ℓ_2, where ℓ_1, ℓ_2 represent μ or τ. The new physics parameters are constrained by using the upper limits of the branching fractions of the B →τμ and B → K τμ 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^*, ϕ, K_2^*) τ ^±μ ^∓ decays. In addition, we also investigate the impact of the new physics couplings on the baryonic Λ _b →Λτ ^±μ ^∓ 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.