The Loop-by-Loop Baikov Representation -- Strategies and Implementation
Abstract
In this paper, we discuss the Baikov representation of Feynman integrals in its standard and loop-by-loop variants. The Baikov representation is a parametric representation, which has as its defining feature the fact that the integration variables are the propagators of the Feynman integral. For the loop-by-loop Baikov representation, we discuss in detail a strategy for how to make an optimal parametrization which is one that minimizes the number of extra integration variables that have to be introduced for a given Feynman integral. Furthermore, we present a Mathematica implementation, named BaikovPackage, that is able to generate the Baikov representation in its standard and loop-by-loop varieties. We also discuss some subtleties and open problems regarding Baikov representations.
Keywords
Cite
@article{arxiv.2412.01804,
title = {The Loop-by-Loop Baikov Representation -- Strategies and Implementation},
author = {Hjalte Frellesvig},
journal= {arXiv preprint arXiv:2412.01804},
year = {2025}
}
Comments
41 pages, 10 figures. Includes the changes in the published version