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arxiv 2502.09883 v2 pith:7AYYEYQR submitted 2025-02-14 hep-ph hep-ex

The nonfactorizable QED correction to the overline{B}_(s) {to} D_(s)^((ast)) {ell} bar{ν}_(ell) decays

classification hep-ph hep-ex
keywords ratiosbranchingoverlinedecaysnonfactorizablesemileptonicbasicallycharmed
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 ${\cal B}(\overline{B}_{s} {\to} D_{s}^{\ast} {\ell} \bar{\nu}_{\ell})$ from the form factors are very large.

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