Analysis of the semileptonic B_c → D^*_sµ⁺µ^- decay mode in the effective field theory approach

¹ Department of Physics, Central University of Karnataka, Kalaburagi- 585367, India
² School of Physics, University of Hyderabad, Hyderabad- 500046, India

^* e-mail: yadavajaykumar286@gmail.com
^** e-mail: manasmohapatra12@gmail.com
^*** e-mail: suchismita8792@gmail.com

Published online: 20 November 2024

Abstract

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 → Kν_l ν¯_l decay mode. In this context, we investigate the exclusive semileptonic B_c → D^*_sµ⁺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 → sµ⁺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 B_c → D^(*)_sµ⁺µ^- process. Although this process has not yet been detected experimentally, we offer predictions and discuss the observables for B_c → D^*_sµ⁺µ^- in both the Standard Model and potential new physics scenarios.