Factorization and Sudakov Resummation in Leptonic Radiative B Decay
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:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Organization:
- USDOE Office of Science (US)
- DOE Contract Number:
- AC03-76SF00515
- OSTI ID:
- 812947
- Report Number(s):
- SLAC-PUB-9625; TRN: US0303487
- Resource Relation:
- Other Information: PBD: 25 Mar 2003
- Country of Publication:
- United States
- Language:
- English
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