Reparameterization invariance for collinear operators

Aneesh V. Manohar, Thomas Mehen, Dan Pirjol, Iain W. Stewart

Research output: Contribution to journalArticlepeer-review

137 Scopus citations

Abstract

We discuss restrictions on operators in the soft-collinear effective theory (SCET) which follow from the ambiguity in the decomposition of collinear momenta and the freedom in the choice of light-like basis vectors n and n̄. Invariance of SCET under small changes in n and/or n̄ implies a symmetry of the effective theory that constrains the form of allowed operators with collinear fields. The restrictions occur at a given order in the power counting as well as between different orders. As an example, we present the complete set of higher order operators that are related to the collinear quark kinetic term.

Original languageEnglish
Pages (from-to)59-66
Number of pages8
JournalPhysics Letters B
Volume539
Issue number1-2
DOIs
StatePublished - 11 Jul 2002

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