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→π 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 Λ (Λ being the strong interaction scale). The resulting effective theory contains soft and collinear fields with virtualities Λ2. We prove a previously conjectured factorization formula for B → π form factors in the heavy quark limit to all orders in α s , paying particular attention to ‘endpoint singularities’ that might have appeared in hard spectator interactions.
PACS: 12.39.St Factorization — 13.20.He Decays of bottom mesons
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Beneke, M., Feldmann, T. Spectator interactions and factorization in B→π lν decay. Eur Phys J C 33 (Suppl 1), s241–s243 (2004). https://doi.org/10.1140/epjcd/s2003-03-121-6
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DOI: https://doi.org/10.1140/epjcd/s2003-03-121-6