Coordinate-space calculation of radiative corrections to the B-meson distribution amplitudes: light-cone vs. static distributions

We discuss the relation between the light-cone and static distributions for the B meson in the framework of the heavy quark effective theory. We investigate the possibility of calculating the B-meson light-cone distribution by lattice QCD applying the recently proposed Ji's approach. We discuss the tree-level relations between the light-cone and static distributions and calculate the 1-loop corrections to them in the $\overline{\rm MS}$ scheme using the background field method in the coordinate space.