English

Normalized Fuchsian form on Riemann sphere and differential equations for multiloop integrals

High Energy Physics - Theory 2017-07-26 v1 High Energy Physics - Phenomenology

Abstract

We consider the question of reducibility of the differential system to normalized Fuchsian form on the Riemann sphere. The differential equations for the multiloop integrals in ϵ\epsilon-form constitute a particular example of the normalized Fuchsian form. We formulate the algorithmic criterion of reducibility. We also consider the question of the proper choice of variable in the differential system suitable for its reduction to ϵ\epsilon-form.

Keywords

Cite

@article{arxiv.1707.07856,
  title  = {Normalized Fuchsian form on Riemann sphere and differential equations for multiloop integrals},
  author = {Roman N. Lee and Andrei A. Pomeransky},
  journal= {arXiv preprint arXiv:1707.07856},
  year   = {2017}
}

Comments

11 pages

R2 v1 2026-06-22T20:56:29.492Z