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

Abstract

In this paper, the nonfactorizable photonic corrections to the effective four-fermion vertex for the $\overline{B}$ $\to$ $D^{(\ast )}$ $+$ ${\ell }^{-}$ $+$ ${\bar{\nu }}_{\ell }$ decays are considered at the quark level within SM, where $\ell$ $=$ $e$, $\mu$ and $\tau$. 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 $R(D^{(\ast )})$ and the relationship $R(D^{(\ast )}{)}_e$ $<$ $R(D^{(\ast )}{)}_{\mu }$.

27pages

References in corpus (8)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2021
• $R(D^{\ast })$, $|V_{cb}|$, and the Heavy Quark Symmetry relations between form factors
• Test of lepton flavour universality using $B^0\to D^{\ast -}{\tau }^{+}{\nu }_{\tau }$ decays with hadronic $\tau$ channels
• Measurement of Differential Distributions of $B\to D^{\ast }\ell {\bar{\nu }}_{\ell }$ and Implications on $|V_{cb}|$
• Revisiting the form factors of $P\to V$ transition within the light-front quark models
• Study of $B_c^{-}$ $\to$ $J/\psi {\pi }^{-}$, ${\eta }_c{\pi }^{-}$ Decays with QCD Factorization
• $B\to D\ell {\nu }_{\ell }$ form factors beyond leading power and extraction of $|V_{cb}|$ and $R(D)$
• $B\to D^{\ast }\ell {\nu }_{\ell }$ semileptonic form factors from lattice QCD with Möbius domain-wall quarks

Cited by in corpus (1)

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