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Factorization and Sudakov Resummation in Leptonic Radiative B Decay

Technical Report ·
DOI:https://doi.org/10.2172/812947· OSTI ID:812947
Soft-collinear effective theory is used to prove factorization of the B {yields} {gamma}l{nu} decay amplitude at leading power in {Lambda}/m{sub b}, including a demonstration of the absence of non-valence 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 byproduct, the evolution equation for heavy-collinear current operators in soft-collinear effective theory is derived.
Research Organization:
Stanford Linear Accelerator Center, Menlo Park, CA (US)
Sponsoring Organization:
USDOE Office of Science (US)
DOE Contract Number:
AC03-76SF00515;
OSTI ID:
812947
Report Number(s):
SLAC-PUB-9625
Country of Publication:
United States
Language:
English

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