Weak decays of B s to D s based on the helicity analysis

Using phenomenologically motivated parameterizations for hadronic transition form factors, alongside helicity analysis and the Lattice QCD input, we present a detailed study of the decays B s → D s ( * ) ℓ ν ℓ . B s → D s + P ( V ), where P = π + , K + , D s + and V = ρ + , D s * + , are investigated and their branching fractions are examined. At the large recoil point, we calculate f + , 0 B s → D s ( 0 ) = 0.67 ± 0.01 . Then we evaluate the branching fractions BR ( B s → D s ℓν ) and BR ( B s → D s ℓν ), which leads to R ( D s ) = 0.298 ± 0.123. The ratios Γ ( B s 0 → D s − μ + ν μ ) Γ ( B s 0 → D s * − 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, A F B ℓ , P L ℓ , P T ℓ , C F ℓ , F L ℓ .