Work

One-loop amplitudes in gauge theories

Year: 2025

Type: article

Abstract: We propose a new “universal expansion” for one-loop amplitudes with arbitrary number of gluons in D dimensions, which holds for general gauge theories with gluons, fermions, and scalars in the loop, including pure and supersymmetric Yang-Mills theories. It expresses the n -gluon amplitudes as a linear combination of universal scalar-loop amplitudes with n − m gluons and m scalars, multiplied by gauge-invariant building blocks (defined for general gauge theories); the integrands of these scalar-loop amplitudes are given in terms of tree-level objects attached to the scalar loop, or by differential operators acting on the most important part which is proportional to D (with m = 0 ). We present closed-formula for these one-loop integrands and prove them by showing that the single cuts are correctly reproduced by the gluing of an additional pair of gluons (fermions, scalars) in the forward limit, plus n gluons in a tree amplitude.

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

DOI: 10.1103/physrevd.111.065015

Authors: Qu Cao, Jin Dong, Song He, Fan Zhu

Institutions: Zhejiang University, Uppsala University, University of Chinese Academy of Sciences, Peng Huanwu Center for Fundamental Theory

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: National Natural Science Foundation of China, Uppsala Universitet

Awards: G2012042336, G3287280676, 散射振幅的新理论、新方法及其应用, G8181039722, G865548911