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

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

2002-11-22

arxiv.org/abs/hep-ph/0211358v1

Phys.Lett. B553 (2003) 267-276

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, LaTeX

Scientific paper

10.1016/S0370-2693(02)03204-5

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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