Soft-Collinear Effective Theory: BRST Formulation

TL;DR

This paper develops a comprehensive BRST formalism for soft-collinear effective theory, enabling consistent gauge fixing and transformations, which enhances the theoretical framework for analyzing soft and collinear interactions in high-energy physics.

Contribution

It introduces a systematic BRST formalism for SCET, including a field-dependent extension, allowing consistent gauge fixing and transformations across different gauges.

Findings

Established full BRST symmetry transformations for SCET

Extended BRST formulation with field-dependent transformations

Mapped SCET actions across various gauge conditions

Abstract

We provide a systematic BRST formalism for the soft-collinear effective theory describing interactions of soft and collinear degrees of freedom in the presence of a hard interaction. In particular, we develop full BRST symmetry transformation for SCET theory. We further extend the BRST formulation by making the transformation field dependent. This establishes a mapping between several SCET actions consistently when defined in different gauge conditions. In fact, a definite structure of gauge-fixed actions corresponding to any particular gauge condition can be generated for SCET theory using our formulation.