Spectator interactions and factorization in B -> pi ell nu decay

Abstract

We investigate the factorization of different momentum modes that appear in matrix elements for exclusive B meson decays into light energetic particles for the specific case of B -> pi form factors at large pion recoil. We first integrate out hard modes with virtualities of order m_b^2 (m_b being the heavy quark mass), and then hard-collinear modes with virtualities m_b Lambda (Lambda being the strong interaction scale). The resulting effective theory contains soft and collinear fields with virtualities Lambda^2. We prove a previously conjectured factorization formula for B -> pi form factors in the heavy quark limit to all orders in alpha_s, paying particular attention to `endpoint singularities' that might have appeared in hard spectator interactions.

Contribution to International Europhysics Conference on High Energy Physics, EPS 2003, Aachen (Germany), 3 pages + 1 figure

Cited by in corpus (6)

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• Theoretical and Phenomenological Constraints on Form Factors for Radiative and Semi-Leptonic B-Meson Decays
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• QCD Factorization for $B\to \pi \pi \ell \nu$ Decays at Large Dipion Masses
• Three-particle contributions to the renormalisation of B-meson light-cone distribution amplitudes
• Soft-Collinear Factorization and Sudakov Resummation of Heavy Meson Decay Amplitudes with Effective Field Theories