Renormalization group analysis of B → π form factors with B-meson light-cone sum rules

Within the framework of the B-meson light-cone sum rules, we review the calculation of radiative corrections to the three B -> pi transition form factors at leading power in Lambda/m(b). To resum large logarithmic terms, we perform the complete renormalization group evolution of the correlation function. We employ the integral transformation which diagonalizes evolution equations of the jet function and the B-meson lightcone distribution amplitude to solve these evolution equations and obtain renormalization group improved sum rules for the B -> pi form factors. Results of the form factors are extrapolated to the whole physical q(2) region and are compared with that of other approaches. The effect of B-meson three-particle light-cone distribution amplitudes, which will contribute to the form factors at next-to-leading power in Lambda/m(b) at tree level, is not considered in this paper.