English

Libra: a package for transformation of differential systems for multiloop integrals

High Energy Physics - Phenomenology 2021-07-07 v1

Abstract

We present a new package for Mathematica system, called Libra. Its purpose is to provide convenient tools for the transformation of the first-order differential systems ij=Mij\partial_i \boldsymbol j = M_i \boldsymbol j for one or several variables. In particular, Libra is designed for the reduction to ϵ\epsilon-form of the differential systems which appear in multiloop calculations. The package also contains some tools for the construction of general solution: both via perturbative expansion of path-ordered exponent and via generalized power series expansion near regular singular points.Libra also has tools to determine the minimal list of coefficients in the asymptotics of the original master integrals, sufficient for fixing the boundary conditions.

Keywords

Cite

@article{arxiv.2012.00279,
  title  = {Libra: a package for transformation of differential systems for multiloop integrals},
  author = {Roman N. Lee},
  journal= {arXiv preprint arXiv:2012.00279},
  year   = {2021}
}

Comments

32 pages

R2 v1 2026-06-23T20:37:45.106Z