Power suppressed operators and gauge invariance in soft-collinear effective theory

Christian W. Bauer, Dan Pirjol, and Iain W. Stewart
Phys. Rev. D 68, 034021 – Published 28 August 2003
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Abstract

The form of collinear gauge invariance for power suppressed operators in the soft-collinear effective theory (SCET) is discussed. Using a field redefinition we show that it is possible to make any power suppressed ultrasoft-collinear operators invariant under the original leading order gauge transformations. Our manipulations avoid gauge fixing. The Lagrangians to O(λ2) are given in terms of these new fields. We then give a simple procedure for constructing power suppressed soft-collinear operators in SCETII by using an intermediate theory SCETI.

  • Received 21 April 2003

DOI:https://doi.org/10.1103/PhysRevD.68.034021

©2003 American Physical Society

Authors & Affiliations

Christian W. Bauer*

  • Department of Physics, University of California at San Diego, La Jolla, California 92093, USA

Dan Pirjol

  • Department of Physics and Astronomy, The Johns Hopkins University, Baltimore, Maryland 21218, USA

Iain W. Stewart

  • Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

  • *Electronic address: bauer@physics.ucsd.edu
  • Electronic address: dpirjol@pha.jhu.edu
  • Electronic address: iains@mit.edu

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Vol. 68, Iss. 3 — 1 August 2003

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