Extractions of |Vub|/|Vcb| from a combined study of the exclusive $$ b\to u(c){\ell}^{-}{\overline{\nu}}_{\ell } $$ decays

A bstract We have extracted the ratio | V ub |/| cb from a combined study of available inputs on $$ \overline{B}\to \left(\pi, \rho, \omega \right){\ell}^{-}{\overline{\nu}}_{\ell } B ¯ → π ρ ω ℓ − ν and \overline{B}\left({\overline{B}}_s\right)\to \left({D}^{\left(\ast \right)},{D}_s^{\left(\ast \right)}\right){\ell}^{-}{\overline{\nu}}_{\ell }\ \left(\ell =\mu\ \textrm{or}\ e\right) s D ∗ = μ or e decays. done our analysis with without inclusion experimental results branching fraction \mathcal{BR}\left({\overline{B}}_s\to {K}^{+}{\mu}^{-}{\overline{\nu}}_{\mu}\right) BR K + or rates \Gamma \left({\overline{B}}_s\to {K}^{+}{\ell}^{-}{\overline{\nu}}_{\ell}\right)/\Gamma {D}_s^{+}{\ell}^{-}{\overline{\nu}}_{\ell}\right) Γ / . used all data fractions in different q 2 -bins, theory form factors lattice light cone sum rule (LCSR) approach; analysed possible scenarios presented results. From b → cℓ − ν ℓ exclusive decays, we obtained = (40 5 ± 0 6) × 10 3 uℓ modes, obtain (3 46 12) which changes to 51 13) after dropping hence report values 085 003 087 input {\overline{B}}_s\to {K}^{+}{\mu}^{-}{\overline{\nu}}_{\mu respectively. also predicted using fit In addition, provide predictions \mathcal{BR}\left(\overline{B}\to \left(\rho, \right){\ell}^{-}{\overline{\nu}}_{\ell}\right) Standard Model (SM) small -bins.