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An integro-differential equation governing the evolution of the leading-orderB-meson light-cone distribution amplitude is derived. The anomalous dimensionin this equation contains a logarithm of the renormalization scale, whosecoefficient is identified with the cusp anomalous dimension of Wilson loops.The exact analytic solution of the evolution equation is obtained, from whichthe asymptotic behavior of the distribution amplitude is derived. These resultscan be used to resum Sudakov logarithms entering the hard-scattering kernels inQCD factorization theorems for exclusive B decays.Comment: 4 pages, 2 figure

physical review letters

Renormalization-Group Evolution of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi></mml:math>-Meson Light-Cone Distribution Amplitude

Renormalization-Group Evolution of theB-Meson Light-Cone Distribution Amplitude