The QED nonfactorizable correction to the semileptonic charmed three-body B decays

Abstract

Abstract In this paper, the nonfactorizable photonic corrections to the effective four-fermion vertex for the $$\overline{B}$$ B ¯ $${\rightarrow }$$ → $$D^{({*})}$$ D ( ∗ ) $$+$$ + $${\ell }^{-}$$ ℓ - $$+$$ + $$\bar{\nu }_{\ell }$$ ν ¯ ℓ decays are considered at the quark level within SM, where $${\ell }$$ ℓ $$=$$ = e, $${\mu }$$ μ and $${\tau }$$ τ . It is found that the QED corrections are closely related with the mass of the charged lepton. The QED contributions will enhance branching ratios, which results in the slight reduction of ratios $$R(D^{(*)})$$ R ( D ( ∗ ) ) and the relationship $$R(D^{(*)})_{e}$$ R ( D ( ∗ ) ) e < $$R(D^{(*)})_{\mu }$$ R ( D ( ∗ ) ) μ .