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Factorization and the Soft Overlap Contribution to Heavy-to-Light Form Factors

By Björn O. Lange and Matthias Neubert

Abstract

Using the formalism of soft-collinear effective theory, a complete separation of shortand long-distance contributions to heavy-to-light transition form factors at large recoil is performed. The universal functions ζM(E) parameterizing the “soft overlap ” contributions to the form factors are defined in terms of matrix elements in the effective theory. Endpoint configurations corresponding to kinematic situations where one of the valence partons in the external mesons carries very small momentum are accounted for in terms of operators involving soft-collinear messenger fields. They contribute at leading order in ΛQCD/E and spoil factorization. An analysis of operator mixing and renormalizationgroup evolution in the effective theory reveals that the intermediate scale √ EΛ is without significance to the soft functions ζM(E), and that the soft overlap contribution does not B-meson form factors describing transitions into light pseudoscalar or vector mesons play an essential role in the phenomenology of exclusive weak decays. They enter in semileptonic decays such as B → π l ν, which provide access to the CKM matrix element |Vub|, and in rar

Year: 2003
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