Work

Four-Loop Rapidity Anomalous Dimension and Event Shapes to Fourth Logarithmic Order

Year: 2022

Type: article

Abstract: We obtain the quark and gluon rapidity anomalous dimension to fourth order in QCD. We calculate the N^{3}LO rapidity anomalous dimensions to higher order in the dimensional regulator and make use of the soft and rapidity anomalous dimension correspondence in conjunction with the recent determination of the N^{4}LO threshold anomalous dimensions to achieve our result. We show that the results for the quark and gluon rapidity anomalous dimensions at four loops are related by generalized Casimir scaling. Using the N^{4}LO rapidity anomalous dimension, we perform the resummation of the energy-energy correlation in the back-to-back limit at N^{4}LL, achieving for the first time the resummation of an event shape at this logarithmic order. We present numerical results and observe a reduction of perturbative uncertainties on the resummed cross section to below 1%.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.129.162001

Authors: Claude Duhr, Bernhard Mistlberger, Gherardo Vita

Institutions: University of Bonn, SLAC National Accelerator Laboratory, Stanford University

Language: English

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,750

Funder: U.S. Department of Energy