Analysis of the semileptonic Bc→ Dₛ^*μ⁺ μ⁻ decay mode in the effective field theory approach

Discrepancies have been noted between experimental measurements and Standard Model predictions for various observables related to the B→(K, K^*,φ) ll processes. Recently, the Belle-II Collaboration observed a 2.8σ deviation from Standard Model predictions in the branching ratio of the B → K νₗ νₗ̄ decay mode. In this context, we investigate the exclusive semileptonic Bc→ Dₛ*μ⁺ μ⁻ decay mode, mediated by b→ s quark level transition, using Effective Field Theory formalism. We perform a global fit to the new parameters using existing experimental data on b → s μ⁺ μ⁻. We then estimate the branching ratio and other observables such as forward-backward asymmetry, lepton polarisation asymmetry, and the lepton non-universality parameter of the Bc→ Dₛ(*)μ⁺ μ⁻ process. Although this process has not yet been detected experimentally, we offer predictions and discuss the observables for Bc→ Dₛ*μ⁺ μ⁻ in both the Standard Model and potential new physics scenarios.