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Phys. Rev. Lett. 91, 102001 (2003) [4 pages]

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

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Björn O. Lange and Matthias Neubert
Newman Laboratory for Elementary-Particle Physics, Cornell University, Ithaca, New York 14853, USA

Received 10 March 2003; published 4 September 2003

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 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.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.91.102001
DOI:
10.1103/PhysRevLett.91.102001
PACS:
12.38.Cy, 12.39.Hg, 12.39.St, 13.25.Hw