Signature of (axial)vector operators in Bc→ Dₛ(*) μ⁺ μ⁻ decays

The persistent anomalies observed in B mesons related to b → s μ⁺ μ⁻ transitions point to the potential for new physics beyond the Standard Model. To explore this further, we conduct an analysis of the exclusive semileptonic decays Bc→ Dₛ(*) μ⁺ μ⁻ within an effective field theory formalism. We perform a global fit to new (axial)vector couplings using the current experimental data for b → s μ⁺ μ⁻ transitions. We compute the branching ratios and physical observables such as forward-backward asymmetries, lepton polarization asymmetries, form factor independent observables for Bc→ Dₛ(*) μ⁺ μ⁻, both within the Standard Model and in new physics scenarios. Additionally, we examine the existence of lepton flavor universality violation in the Bc→ Dₛ(*) ⁺ ⁻ process.