Factorization and Sudakov resummation in leptonic radiative B decay

S. W. Bosch, R. J. Hill, B. O. Lange, and M. Neubert
Phys. Rev. D 67, 094014 – Published 20 May 2003
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Abstract

Soft-collinear effective theory is used to prove factorization of the Bγlν decay amplitude at leading power in Λ/mb, including a demonstration of the absence of nonvalence Fock states and of the finiteness of the convolution integral in the factorization formula. Large logarithms entering the hard-scattering kernel are resummed by performing a two-step perturbative matching onto the low-energy effective theory, and by solving evolution equations derived from the renormalization properties of the leading-order B-meson light-cone distribution amplitude. As a by-product, the evolution equation for heavy-collinear current operators in soft-collinear effective theory is derived.

  • Received 21 January 2003

DOI:https://doi.org/10.1103/PhysRevD.67.094014

©2003 American Physical Society

Authors & Affiliations

S. W. Bosch1, R. J. Hill2, B. O. Lange1, and M. Neubert1

  • 1Newman Laboratory for Elementary-Particle Physics, Cornell University, Ithaca, New York 14853
  • 2Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309

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Issue

Vol. 67, Iss. 9 — 1 May 2003

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