Year: 2022
Type: article
Abstract: The rapidity anomalous dimension controls the scaling of transverse momentum dependent observables in the Sudakov region. In a conformal theory it is equivalent to the soft anomalous dimension, but in QCD this relation is broken by anomalous terms proportional to the β-function. In this paper we first give a simple proof of this relation using two different representations of the energy-energy correlator observable. We then calculate the anomalous terms to three loops by computing the three-loop fully differential soft function to 𝒪(ϵ). Combined with recent perturbative data from the study of on-shell form factors and splitting functions, this allows us to derive the four loop rapidity anomalous dimension in QCD.
Source: Journal of High Energy Physics
Authors: Ian Moult, Hua Xing Zhu, Yu Jiao Zhu
Institutions: Yale University, Zhejiang University, University of Bonn
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Award: G7378303733
OpenAlex ID: W4293582128