Renormalization of Subleading Dijet Operators in Soft-Collinear Effective Theory

TL;DR

This paper computes the anomalous dimensions of subleading dijet operators in SCET, enhancing the theoretical precision of jet-related observables by addressing renormalization at next-to-leading order.

Contribution

It introduces a formulation of SCET with multiple QCD copies and a gluon mass regulator, providing new calculations of anomalous dimensions for subleading operators.

Findings

Calculated anomalous dimensions for next-to-leading order dijet operators.

Compared different infrared regulators, including gluon mass and delta-regulator.

Results improve the theoretical accuracy of the thrust distribution in jet physics.

Abstract

We calculate the anomalous dimensions of the next-to-leading order dijet operators in soft-collinear effective theory (SCET). We use a formulation of SCET where the Lagrangian is multiple copies of QCD and the interactions between sectors occur through light-like Wilson lines in external currents. We introduce a small gluon mass to regulate the infrared divergences of the individual loop diagrams in order to properly extract the ultraviolet divergences. We discuss this choice of infrared regulator and contrast it with the $\delta$-regulator. Our results can be used to increase the theoretical precision of the thrust distribution.