Revisiting radiative leptonic B decay

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,F-i n the B -> gamma lv decay at leading power in Lambda/m(b). Furthermore, we investigate the power suppressed local contributions, factorizable non-local contributions (which are suppressed 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.