Alphabet of one-loop Feynman integrals
High Energy Physics - Theory
2022-09-20 v3 High Energy Physics - Phenomenology
Abstract
In this paper, we present the universal structure of the alphabet of one-loop Feynman integrals. The letters in the alphabet are calculated using the Baikov representation with cuts. We consider both convergent and divergent cut integrals and observe that letters in the divergent cases can be easily obtained from convergent cases by applying certain limits. The letters are written as simple expressions in terms of various Gram determinants. The knowledge of the alphabet enables us to easily construct the canonical differential equations of the form and aids in bootstrapping the symbols of the solutions.
Keywords
Cite
@article{arxiv.2201.12998,
title = {Alphabet of one-loop Feynman integrals},
author = {Jiaqi Chen and Chichuan Ma and Li Lin Yang},
journal= {arXiv preprint arXiv:2201.12998},
year = {2022}
}
Comments
13 pages, 2 figures; v3: published version in Chinese physics C