The nonfactorizable QED correction to the ${\overline{B}}_s$ $\to$ $D_s^{(\ast )}\ell {\bar{\nu }}_{\ell }$ decays

Abstract

Considering the nonfactorizable QED corrections, the branching ratios and ratios of branching ratios $R(D_s^{(\ast )})$ for the semileptonic ${\overline{B}}_s$ $\to$ $D_s^{(\ast )}\ell {\bar{\nu }}_{\ell }$ decays are reevaluated. It is found that (a) the QED contributions can enhance the branching ratios and reduce the ratios $R(D_s^{(\ast )})$. (b) The $SU(3)$ flavor symmetry holds basically well in the ratios $R(D)$-$R(D^{\ast })$ for the semileptonic charmed ${\overline{B}}_{u,d,s}$ decays. (c) The current theoretical uncertainties of branching ratios $\mathcal{B}({\overline{B}}_s\to D_s^{\ast }\ell {\bar{\nu }}_{\ell })$ from the form factors are very large.

References in corpus (7)

• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• Model-independent description of $B\to \pi l\nu$ decays and a determination of $|V_{ub}|$
• Precision Corrections to Dispersive Bounds on Form Factors
• CEPC Technical Design Report -- Accelerator (v2)
• $B_s\to D_s\ell \nu$ Form Factors for the full $q^2$ range from Lattice QCD with non-perturbatively normalized currents
• $B_s\to D_s^{\ast }$ Form Factors for the full $q^2$ range from Lattice QCD
• The QED nonfactorizable correction to the semileptonic charmed three-body $B$ decays