Work

Analytic evaluation of the three-loop three-point form factor of tr ϕ3 in $$ \mathcal{N} $$ = 4 sYM

Year: 2025

Type: article

Abstract: A bstract We compute analytically the three-loop correlation function of the local operator tr ϕ 3 inserted into three on-shell states, in maximally supersymmetric Yang-Mills theory. The result is expressed in terms of Chen iterated integrals. We also present our result using generalised polylogarithms, and evaluate them numerically, finding agreement with a previous numerical result in the literature. We observe that the result depends on fewer kinematic singularities compared to individual Feynman integrals. Furthermore, upon choosing a suitable definition of the finite part, we find that the latter satisfies powerful symbol adjacency relations similar to those previously observed for the tr ϕ 2 case.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep02(2025)085

Authors: Johannes M. Henn, Jungwon Lim, William J. Torres Bobadilla

Institutions: Max Planck Institute for Physics, University of Liverpool

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Leverhulme Trust, Deutsche Forschungsgemeinschaft

Awards: G1897041155, G3042553669, G4066435496, EXC 2094: ORIGINS: Vom Ursprung des Universums bis zu den ersten Bausteinen des Lebens