Renormalization of Subleading Dijet Operators in Soft-Collinear Effective Theory

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.

20 pages, 3 figures. Corrected typos, added references. Changed formatting

References in corpus (5)

• Thrust at N^3LL with Power Corrections and a Precision Global Fit for alphas(mZ)
• The Zero-Bin and Mode Factorization in Quantum Field Theory
• A precise determination of alpha_s from LEP thrust data using effective field theory
• Reparameterization Invariant Collinear Operators
• Subleading Corrections To Thrust Using Effective Field Theory

Cited by in corpus (8)

• 50 Years of Quantum Chromodynamics
• A Precise Determination of ${\alpha }_s$ from the C-parameter Distribution
• TMD Fragmentation Functions at N${}^3$LO
• Factorization for Azimuthal Asymmetries in SIDIS at Next-to-Leading Power
• Collinear expansion for color singlet cross sections
• Factorization of Power Corrections in the Drell-Yan Process in EFT
• Resummation of double logarithms in loop-induced processes with effective field theory
• Precision $e^{+}{e}^{-}$ Hemisphere Masses in the Dijet Region with Power Corrections