Factorization and Sudakov Resummation in Leptonic Radiative B Decay

Details Factorization and Sudakov Resummation in Leptonic Radiative B Decay Factorization and Sudakov Resummation in Leptonic Radiative B Decay

2003-01-16

arxiv.org/abs/hep-ph/0301123v2

Phys.Rev.D67:094014,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, 5 figures; several references added or updated, extended discussion of the new elements of the factorization proof,

Scientific paper

10.1103/PhysRevD.67.094014

Soft-collinear effective theory is used to prove factorization of the B->gamma+l+nu decay amplitude at leading power in Lambda/m_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.

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