Work

Rational QCD loop amplitudes and quantum theories on twistor space

Year: 2025

Type: article

Abstract: A bstract We show how curing an anomaly of the twistor uplift of self-dual Yang-Mills theory implies linear relations among one-loop, n -gluon, color-ordered subamplitudes in QCD, when all n gluon helicities are positive, or when exactly one is negative. We compute the number of linearly independent subamplitudes as determined by these relations, in terms of unsigned Stirling numbers. Then we use a momentum-twistor parametrization to show that there are no further linear dependencies.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep03(2025)188

Authors: Lance J. Dixon, Anthony Morales

Institution: 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: diamond

Funders: U.S. Department of Energy, Government of Canada, Institut Périmètre de physique théorique, Ministry of Colleges and Universities

Awards: G2371548206, G303061748, G5570207115, G969889393