2003/01/31 by S. W. Bosch, Stefan W. Bosch, R. J. Hill +5 · 7 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1103/physrevd.67.094014
published as Phys.Rev.D67:094014,2003 · 20 pages, 5 figures; several references added or updated, extended discussion of the new elements of the factorization proof, typo in eq.(6) fixed; version to appear in Phys. Rev. D
arxiv created 2003/04/07 · openalex publication_date 2003/05/20 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Soft-collinear effective theory is used to prove factorization of the \stackrel\ensuremath→B\ensuremathγl\ensuremathν decay amplitude at leading power in \ensuremathΛ/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.