Feynman integral reduction by covariant differentiation
High Energy Physics - Phenomenology
2026-04-14 v1 High Energy Physics - Theory
Abstract
We show how a large class of Feynman integrals can be efficiently reduced to master integrals by suitable covariant differentiation on the vector space dual to the one spanned by the master integrals. The connections needed in the covariant derivatives have to be built only once for a given topology and then apply to any configuration of internal propagator masses. We implement our algorithm in the Mathematica code Method for Reduction of Loop Integrals (MERLIN).
Cite
@article{arxiv.2604.09810,
title = {Feynman integral reduction by covariant differentiation},
author = {Gero von Gersdorff and Vinicius Lessa},
journal= {arXiv preprint arXiv:2604.09810},
year = {2026}
}
Comments
17 pages, code available at https://github.com/MERLIN-QFT/MERLIN-1.0.00