Work

Solving differential equations for Feynman integrals by expansions near singular points

Year: 2018

Type: article

Abstract: A bstract We describe a strategy to solve differential equations for Feynman integrals by powers series expansions near singular points and to obtain high precision results for the corresponding master integrals. We consider Feynman integrals with two scales, i.e. non-trivially depending on one variable. The corresponding algorithm is oriented at situations where canonical form of the differential equations is impossible. We provide a computer code constructed with the help of our algorithm for a simple example of four-loop generalized sunset integrals with three equal non-zero masses and two zero masses. Our code gives values of the master integrals at any given point on the real axis with a required accuracy and a given order of expansion in the regularization parameter ϵ.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep03(2018)008

Authors: Roman N. Lee, Alexander V. Smirnov, Vladimir A. Smirnov

Institutions: Budker Institute of Nuclear Physics, Lomonosov Moscow State University, Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University

Language: English

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Russian Foundation for Basic Research

Awards: G6678253498, G7026763524