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arXiv · hep-ph/0211018

Spectator Interactions in Soft-Collinear Effective Theory

Richard J. Hill·Matthias Neubert
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Abstract

Soft-collinear effective theory is generalized to include soft massless quarks in addition to collinear fields. This extension is necessary for the treatment of interactions with the soft spectator quark in a heavy meson. The power counting of the relevant fields and the construction of the effective Lagrangian are discussed at leading order in Lambda/m_b. Several novel effects occur in the matching of full-theory amplitudes onto effective-theory operators containing soft light quarks, such as the appearance of an intermediate mass scale and large non-localities of operators on scales of order 1/Lambda. Important examples of effective-theory operators with soft light quarks are studied and their renormalization properties explored. The formalism presented here forms the basis for a systematic analysis of factorization and power corrections for any exclusive B-meson decay into light particles.

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Richard J. Hill, Matthias Neubert. 2003-03-06. Spectator Interactions in Soft-Collinear Effective Theory. https://doi.org/10.1016/s0550-3213(03)00116-0

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