Renormalization of Subleading Dijet Operators in Soft-Collinear Effective Theory
Simon M. Freedman, Raymond Goerke
TL;DR
Large logarithms from multiple scales in jet observables, particularly the thrust tail, challenge fixed-order predictions. The authors use a decoupled-sector SCET with Wilson-line interactions to construct and renormalize the next-to-leading order dijet operator basis, deriving their anomalous dimensions and discussing UV/IR separation via a gluon-mass regulator. They impose CP, current conservation, and reparameterization invariance to constrain operator coefficients, ensuring consistent renormalization and potential mixing. This work enables improved resummation of tau-dependent terms and enhances precision thrust predictions, contributing to more accurate determinations of alpha_s from jet observables.
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 $δ$-regulator. Our results can be used to increase the theoretical precision of the thrust distribution.