English

Package-X: A Mathematica package for the analytic calculation of one-loop integrals

High Energy Physics - Phenomenology 2015-12-01 v2

Abstract

Package-X, a Mathematica package for the analytic computation of one-loop integrals dimensionally regulated near 4 spacetime dimensions is described. Package-X computes arbitrarily high rank tensor integrals with up to three propagators, and gives compact expressions of UV divergent, IR divergent, and finite parts for any kinematic configuration involving real-valued external invariants and internal masses. Output expressions can be readily evaluated numerically and manipulated symbolically with built-in Mathematica functions. Emphasis is on evaluation speed, on readability of results, and especially on user-friendliness. Also included is a routine to compute traces of products of Dirac matrices, and a collection of projectors to facilitate the computation of fermion form factors at one-loop. The package is intended to be used both as a research tool and as an educational tool.

Keywords

Cite

@article{arxiv.1503.01469,
  title  = {Package-X: A Mathematica package for the analytic calculation of one-loop integrals},
  author = {Hiren H. Patel},
  journal= {arXiv preprint arXiv:1503.01469},
  year   = {2015}
}

Comments

Package files are available at http://packagex.hepforge.org

R2 v1 2026-06-22T08:44:40.863Z