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(*) ν_. Bₛ → Dₛ + P(V), where P = π⁺, K⁺, Dₛ⁺ and V = ρ⁺, 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 ν ) and BR(Bₛ → Dₛ ν ), which leads to R(Dₛ) = 0.298 ± 0.123. The ratios Γ (Bₛ⁰ → Dₛ^ - μ ^ + ν _μ )Γ (Bₛ⁰ → Dₛ* -μ ^ + ν _μ ) 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, AFB^ ,PL^ ,PT^ ,CF^ ,FL^.