Work

Efficient computation of one-loop Feynman integrals and fixed-branch integrals to high orders in ε

Year: 2025

Type: article

Abstract: We propose a novel method, called the dimension-changing transformation (), to compute one-loop Feynman integrals and recently introduced fixed-branch integrals to arbitrary orders in ε . The relates one-loop Feynman integrals or fixed-branch integrals in a desired spacetime dimension to their corresponding quantities with auxiliary mass in any other dimension, making the expansion to high orders in ε highly efficient. We applied this method to several examples to demonstrate its validity and efficiency. The approach introduced in this work has been implemented in an open-source ++ package, along with several examples to demonstrate its efficiency.

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

DOI: 10.1103/physrevd.111.094028

Authors: Rui-Jun Huang, Dong-Shan Jian, Yan-Qing Ma, Dao-Ming Mu, Wen-Hao Wu

Institution: Peking 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: hybrid

Funders: National Natural Science Foundation of China, Peking University, National Key Research and Development Program of China

Awards: G2505060883, G4027678930, G8776819963