arXiv:hep-ph/0303156·v3·High Energy Physics — Phenomenology
On Power Suppressed Operators and Gauge Invariance in SCET
Christian W. Bauer🇺🇸 · Dan Pirjol🇺🇸 · Iain W. Stewart🇺🇸
Abstract
The form of collinear gauge invariance for power suppressed operators in the soft-collinear effective theory 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(lambda^2) are given in terms of these new fields. We then give a simple procedure for constructing power suppressed soft-collinear operators in SCET_II by using an intermediate theory SCET_I.
Comments: 15 pages, journal version