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On Power Suppressed Operators and Gauge Invariance in SCET

Christian W. Bauer·Dan Pirjol·Iain W. Stewart
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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.

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Christian W. Bauer, Dan Pirjol, Iain W. Stewart. 2003-07-10. On Power Suppressed Operators and Gauge Invariance in SCET. https://doi.org/10.1103/physrevd.68.034021

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