Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in ε

2024/12/30 by Rui-Jun Huang, Huang, Rui-Jun, Dong-Shan Jian +7 · 2 citations
Mathematics · Physics and Astronomy · #advanced mathematical theories #Algebraic and Geometric Analysis #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2412.21054

Abstract

We propose a novel method, called the dimension-changing transformation (DCT), to compute one-loop Feynman integrals and recently introduced fixed-branch integrals to arbitrary orders in ε. The DCT relates one-loop Feynman integrals or fixed-branch integrals in one 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 C++ package, available at \hrefhttps://gitlab.com/multiloop-pku/dcthttps://gitlab.com/multiloop-pku/dct.

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• Electroweak loop corrections to gg→ gH at the LHC
• Fast evaluation of Feynman integrals for Monte Carlo generators

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