English

TVID: Three-loop Vacuum Integrals from Dispersion relations

High Energy Physics - Phenomenology 2017-02-13 v1

Abstract

TVID is a program for the numerical evaluation of general three-loop vacuum integrals with arbitrary masses. It consists of two parts. An algebraic module, implemented in Mathematica, performs the separation of the divergent pieces of the master integrals and identifies special cases. The numerical module, implemented in C, carries out the numerical integration of the finite pieces. In this note, the structure of the program is explained and a few usage examples are given.

Cite

@article{arxiv.1702.02996,
  title  = {TVID: Three-loop Vacuum Integrals from Dispersion relations},
  author = {S. Bauberger and A. Freitas},
  journal= {arXiv preprint arXiv:1702.02996},
  year   = {2017}
}

Comments

TVID is based on the formalism described in arXiv:1609.09159

R2 v1 2026-06-22T18:14:22.187Z