Weak decays of Bₛ to Dₛ based on the helicity analysis

Employing dipole and exponential hadronic transition form factors and helicity analysis combined with the Lattice QCD input, we present a detailed study of the decays Bₛ Dₛ^ (*) _. Bₛ Dₛ + P (V), where P = ^+, K^+, Dₛ^+ and V = ^+, K^*+, Dₛ^*+, are also investigated and their branching fractions are examined. At the large recoil point, we calculate f +, ₀^{Bₛ Dₛ} (0) = 0. 67 0. 01 for both parameterizations. Then we evaluate the branching fractions BR (Bₛ Dₛ) and BR (Bₛ Dₛ), which leads to R (Dₛ) = 0. 298 0. 123. The ratios (Bₛ⁰ Dₛ^ - { ^ + { _) }}{ (Bₛ⁰ Dₛ^{* - ^ + _) }} are found to be 0. 4415 0. 1860 and 0. 4406 0. 1854, which are in good agreement of recent LHCb collaboration measurement. We also calculate the physical observables, A₅₁^, PL^, PT^, CF^, FL^.