Multipole-expanded soft-collinear effective theory with non-Abelian gauge symmetry
By Martin Beneke, T. Feldmann. 2002
267 citations recorded by the source corpus.
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 Letter 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.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/7c4bebeb6b1e71d05ab822aa3940128e23d4f604
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In Nuclear and High Energy Physics
Citations in the corpus
- Power-enhanced leading-logarithmic QED corrections to Bq→ μ+μ− (2019, background): “For the soft fields, their multipole expansion in SCETI interactions with collinear fields [68] is made explicit by the argument x∓ ≡ (n±x)n∓/2.”
- Erratum: On the structure of infrared singularities of gauge-theory amplitudes (2009, background): “The peculiar x-dependence of the gluon field is a consequence of the multipole expansion [7, 49], which implies that in interactions of collinear and soft fields one should perform a derivative expansion of the form”
- Introduction to Soft-Collinear Effective Theory (2014, methodology): “3 Soft-Collinear Interactions The general construction of the soft-collinear interaction terms is somewhat involved and beyond the scope of these lectures; it can be found in [6].”