External Operators and Anomalous Dimensions in Soft-Collinear Effective Theory

Details External Operators and Anomalous Dimensions in Soft-Collinear Effective Theory External Operators and Anomalous Dimensions in Soft-Collinear Effective Theory

2003-09-19

arxiv.org/abs/hep-ph/0309227v1

Phys.Rev. D69 (2004) 034013

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 2 figures

Scientific paper

10.1103/PhysRevD.69.034013

It has recently been argued that soft-collinear effective theory for processes involving both soft and collinear partons contains a new soft-collinear mode, which can communicate between the soft and collinear sectors of the theory. The formalism incorporating the corresponding fields into the effective Lagrangian is extended to include external current and four-quark operators relevant to weak interactions. An explicit calculation of the anomalous dimensions of these operators reveals that soft-collinear modes are needed for correctly describing the ultraviolet behavior of the effective theory.

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