Renormalization-Group Evolution of the B-Meson Light-Cone Distribution Amplitude

Details Renormalization-Group Evolution of the B-Meson Light-Cone Distribution Amplitude Renormalization-Group Evolution of the B-Meson Light-Cone Distribution Amplitude

2003-03-10

arxiv.org/abs/hep-ph/0303082v1

Phys.Rev.Lett.91:102001,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.91.102001

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.

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