English

epsilon: A tool to find a canonical basis of master integrals

High Energy Physics - Phenomenology 2017-07-26 v3

Abstract

In 2013, Henn proposed a special basis for a certain class of master integrals, which are expressible in terms of iterated integrals. In this basis, the master integrals obey a differential equation, where the right hand side is proportional to ϵ\epsilon in d=42ϵd=4-2\epsilon space-time dimensions. An algorithmic approach to find such a basis was found by Lee. We present the tool epsilon, an efficient implementation of Lee's algorithm based on the Fermat computer algebra system as computational backend.

Keywords

Cite

@article{arxiv.1701.00725,
  title  = {epsilon: A tool to find a canonical basis of master integrals},
  author = {Mario Prausa},
  journal= {arXiv preprint arXiv:1701.00725},
  year   = {2017}
}

Comments

34 pages; changed reference to fuchsia