External Operators and Anomalous Dimensions in Soft-Collinear Effective Theory
High Energy Physics - Phenomenology
2009-11-10 v1
Abstract
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.
Keywords
Cite
@article{arxiv.hep-ph/0309227,
title = {External Operators and Anomalous Dimensions in Soft-Collinear Effective Theory},
author = {Thomas Becher and Richard J. Hill and Bjoern O. Lange and Matthias Neubert},
journal= {arXiv preprint arXiv:hep-ph/0309227},
year = {2009}
}
Comments
15 pages, 2 figures