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Extractions of |Vub_{ub}|/|Vcb_{cb}| from a combined study of the exclusive b→u(c)ℓ−ν‾ℓ b\to u(c){\ell}^{-}{\overline{\nu}}_{\ell } decays

Dec 5, 2022
20 pages
Published in:
  • JHEP 07 (2023) 024
  • Published: Jul 4, 2023
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Abstract: (Springer)
We have extracted the ratio |Vub_{ub}|/|Vcb_{cb}| from a combined study of the available inputs on B‾→(π,ρ,ω)ℓ−ν‾ℓ \overline{B}\to \left(\pi, \rho, \omega \right){\ell}^{-}{\overline{\nu}}_{\ell } and B‾(B‾s)→(D(∗),Ds(∗))ℓ−ν‾ℓ (ℓ=μ or e) \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) decays. We have done our analysis with and without the inclusion of the available experimental results on the branching fraction BR(B‾s→K+μ−ν‾μ) \mathcal{BR}\left({\overline{B}}_s\to {K}^{+}{\mu}^{-}{\overline{\nu}}_{\mu}\right) or the ratio of the rates Γ(B‾s→K+ℓ−ν‾ℓ)/Γ(B‾s→Ds+ℓ−ν‾ℓ) \Gamma \left({\overline{B}}_s\to {K}^{+}{\ell}^{-}{\overline{\nu}}_{\ell}\right)/\Gamma \left({\overline{B}}_s\to {D}_s^{+}{\ell}^{-}{\overline{\nu}}_{\ell}\right) . We have used all the available experimental data on the branching fractions in different q2^{2}-bins, the available theory inputs on the form factors from lattice and the light cone sum rule (LCSR) approach; analysed the data in different possible scenarios and presented the results. From a combined analysis of all the b → cℓ−^{−}νℓ_{ℓ} exclusive decays, we have obtained |Vcb_{cb}| = (40.5 ± 0.6) × 10−3^{−3} and from all the b → uℓ−^{−}νℓ_{ℓ} modes, we obtain |Vub_{ub}| = (3.46 ± 0.12) × 10−3^{−3} which changes to |Vub_{ub}| = (3.51 ± 0.13) × 10−3^{−3} after dropping BR(B‾s→K+μ−ν‾μ) \mathcal{BR}\left({\overline{B}}_s\to {K}^{+}{\mu}^{-}{\overline{\nu}}_{\mu}\right) . We hence report the values of the ratio |Vub_{ub}|/|Vcb_{cb}| = 0.085 ± 0.003 and 0.087 ± 0.003 with and without the input from B‾s→K+μ−ν‾μ {\overline{B}}_s\to {K}^{+}{\mu}^{-}{\overline{\nu}}_{\mu } modes, respectively. We have also predicted the ratio Γ(B‾s→K+ℓ−ν‾ℓ)/Γ(B‾s→Ds+ℓ−ν‾ℓ) \Gamma \left({\overline{B}}_s\to {K}^{+}{\ell}^{-}{\overline{\nu}}_{\ell}\right)/\Gamma \left({\overline{B}}_s\to {D}_s^{+}{\ell}^{-}{\overline{\nu}}_{\ell}\right) using the fit results. In addition, we provide the predictions of BR(B‾s→K+μ−ν‾μ) \mathcal{BR}\left({\overline{B}}_s\to {K}^{+}{\mu}^{-}{\overline{\nu}}_{\mu}\right) and BR(B‾→(ρ,ω)ℓ−ν‾ℓ) \mathcal{BR}\left(\overline{B}\to \left(\rho, \omega \right){\ell}^{-}{\overline{\nu}}_{\ell}\right) in the Standard Model (SM) in small q2^{2}-bins.
Note:
  • Results updated with the latest experimental inputs, version accepted for publication in JHEP
  • Bottom Quarks
  • CKM Parameters
  • Semi-Leptonic Decays
  • B: decay
  • sum rule: light cone
  • branching ratio
  • form factor
  • lattice field theory
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