Revisiting radiative leptonic $B$ decay

Abstract

In this paper, we summarize the existing methods of solving the evolution equation of the leading-twist $B$-meson LCDA. Then, in the Mellin space, we derive a factorization formula with next-to-leading-logarithmic (NLL) resummation for the form factors $F_{A,V}$ in the $B\to \gamma \ell \nu$ decay at leading power in $\Lambda /m_b$. Furthermore, we investigate the power suppressed local contributions, factorizable non-local contributions (which are suppressed by $1/E_{\gamma }$ and $1/m_b$), and soft contributions to the form factors. In the numerical analysis, which employs the two-loop-level hard function and the jet function, we find that both the resummation effect and the power corrections can sizably decrease the form factors. Finally, the integrated branching ratios are also calculated for comparison with future experimental data.

arXiv comment15 pages, 4 figures

References in corpus (28)

• An effective field theory for collinear and soft gluons: heavy to light decays
• On the Structure of Infrared Singularities of Gauge-Theory Amplitudes
• Asymptotics of Heavy-Meson Form Factors
• Renormalization-Group Evolution of the B-Meson Light-Cone Distribution Amplitude
• Radiative leptonic decays of B mesons in QCD
• Light-Cone Distribution Amplitudes for Heavy-Quark Hadrons
• B meson distribution amplitude from B --> γl ν
• QCD corrections to $B\to \pi$ form factors from light-cone sum rules
• Model-Independent Properties of the B-Meson Distribution Amplitude
• Factorization in leptonic radiative B -> gamma eνdecays
• Factorization and Sudakov Resummation in Leptonic Radiative B Decay
• Factorization, the light-cone distribution amplitude of the B-meson and the radiative decay B -> gamma l nu_l
• Precision calculations of $B\to V$ form factors in QCD
• Three-loop anomalous dimension of the heavy-light quark current in HQET
• Radiative leptonic decay $B\to \gamma \ell {\nu }_{\ell }$ with subleading power corrections
• Soft contribution to $B\to \gamma \ell {\nu }_{\ell }$ and the $B$-meson distribution amplitude
• Perturbative corrections to $B\to D$ form factors in QCD
• Subleading-power corrections to the radiative leptonic $B\to \gamma \ell \nu$ decay in QCD
• B->gamma e nu Transitions from QCD Sum Rules
• Factorization and dispersion relations for radiative leptonic $B$ decay
• QCD calculations of $B\to \pi ,K$ form factors with higher-twist corrections
• Two-loop evolution equation for the B-meson distribution amplitude
• Conformal symmetry of the Lange-Neubert evolution equation
• Two-Loop Radiative Jet Function for Exclusive $B$-Meson and Higgs Decays
• Subleading power corrections to $B\to \gamma l\nu$ decay in PQCD approach
• Three-loop soft function for heavy-to-light quark decays
• Integrability in heavy quark effective theory
• Evolution equation for the B-meson distribution amplitude in the heavy-quark effective theory in coordinate space

Cited by in corpus (7)

• Methods for high-precision determinations of radiative-leptonic decay form factors using lattice QCD
• Factorization of radiative leptonic D-meson decay with sub-leading power corrections
• Study on pure annihilation type B to V gamma decays
• Efficient lattice QCD computation of radiative-leptonic-decay form factors at multiple positive and negative photon virtualities
• QCD factorization for the $B\to \gamma \ell {\nu }_{\ell }$ decay beyond leading power
• Strange quark mass effect in $B_s\to \gamma \gamma ,\gamma \ell \bar{\ell }$ decays
• Effects from Hadronic Structure of Photon on $B\to \varphi \gamma$ and $B_s\to ({\rho }^0,\omega )\gamma$ Decays