Solving differential equations for Feynman integrals by expansions near singular points

DOI10.1007/JHEP03(2018)008zbMATH Open1388.81927arXiv1709.07525WikidataQ130154517 ScholiaQ130154517MaRDI QIDQ1750858

Author name not available (Why is that?)

Publication date: 23 May 2018

Published in: (Search for Journal in Brave)

Abstract: 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. nontrivially depending on one variable. The corresponding algorithm is oriented at situations where canonical form of the differential equations is impossible. We provide a computer implementation of our algorithm in a simple example of four-loop generalized sun-set integrals with three equal non-zero masses. Our code provides 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 $epsilon$.

Full work available at URL: https://arxiv.org/abs/1709.07525

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: Solving differential equations for Feynman integrals by expansions near singular points

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q1750858)