Work

Helicity amplitudes in massless QED to higher orders in the dimensional regulator

Year: 2025

Type: article

Abstract: We analytically calculate one- and two-loop helicity amplitudes in massless QED, by adopting a four-dimensional tensor decomposition. We draw our attention to four-fermion and Compton scattering processes to higher orders in the dimensional regulator, as required for theoretical predictions at N 3 LO . We organize loop amplitudes by proposing an efficient algorithm at integrand level to group Feynman graphs into integral families. We study the singular structure of these amplitudes and discuss the correspondence between QED and QCD processes. We present our results in terms of generalized polylogarithms up to transcendental weight six.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.111.036024

Authors: Thomas Dave, William J. Torres Bobadilla

Institution: University of Liverpool

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

Funders: Leverhulme Trust, Mainz Institute for Theoretical Physics, Johannes Gutenberg University Mainz

Awards: G2946282769, G3042553669