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arXiv · hep-ph/0211358

Multipole-expanded soft-collinear effective theory with non-abelian gauge symmetry

M. Beneke·Th. Feldmann
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Abstract

In position space the interaction terms of soft-collinear effective theory must be multipole-expanded to obtain interaction terms with homogeneous scaling behaviour. In this note we provide a manifestly gauge-invariant formulation of the theory after this expansion in the presence of non-abelian gauge fields, extending our previous result. We give the effective Lagrangian (including the Yang-Mills Lagrangian for collinear and ultrasoft gluons) and heavy-to-light transition currents to second order in the power expansion, paying particular attention to the field redefinitions that lead to the gauge symmetries of the effective Lagrangian.

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M. Beneke, Th. Feldmann. 2002-11-22. Multipole-expanded soft-collinear effective theory with non-abelian gauge symmetry. https://doi.org/10.1016/s0370-2693(02)03204-5

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