Year: 2026
Type: article
Abstract: A bstract Since Feynman integrals (FIs) at higher spacetime dimensions are free of infrared and collinear divergences — and their ultraviolet divergences can be systematically subtracted — this allows us to construct a wide range of locally finite Feynman integrals. Especially, we propose a method named $$ \overline{R} $$ R ¯ -operation to subtract out ultraviolet divergences that at the same time preserves infrared and collinear safety of the original FI. By expressing these locally finite FIs in terms of master integrals and imposing constraints on their ϵ -expanded forms, we reduce the ϵ -expanded master integrals to a minimal basis. We provide an automated package to identify such constraints, offering a tool useful for high-order perturbative computations.
Source: Journal of High Energy Physics
Authors: Yan-Qing Ma, Cong-Hao Qin, Ao Tan, Kai Yan
Institutions: Peking University, Shanghai Jiao Tong University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Awards: G4027678930, G6007995112
OpenAlex ID: W7130655030