  An integro-differential equation governing the evolution of the leading-order
B-meson light-cone distribution amplitude is derived. The anomalous dimension
in this equation contains a logarithm of the renormalization scale, whose
coefficient is identified with the cusp anomalous dimension of Wilson loops.
The exact analytic solution of the evolution equation is obtained, from which
the asymptotic behavior of the distribution amplitude is derived. These results
can be used to resum Sudakov logarithms entering the hard-scattering kernels in
QCD factorization theorems for exclusive B decays.
