Differential equations and Feynman integrals
High Energy Physics - Phenomenology
2021-07-23 v2
Abstract
The role of differential equations in the process of calculating Feynman integrals is reviewed. An example of a diagram is given for which the method of differential equations was introduced, the properties of the inverse-mass-expansion coefficients are shown, and modern methods based on differential equations are considered.
Cite
@article{arxiv.2102.07424,
title = {Differential equations and Feynman integrals},
author = {A. V. Kotikov},
journal= {arXiv preprint arXiv:2102.07424},
year = {2021}
}
Comments
22 pages; contribution to the proceedings of the International Conference "Antidifferentiation and the Calculation of Feynman Amplitudes" (4-9 October 2020, Zeuthen, Germany). arXiv admin note: text overlap with arXiv:2004.06625