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arXiv · 1503.01469

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

Hiren H. Patel
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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.

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Hiren H. Patel. 2015-03-04. Package-X: A Mathematica package for the analytic calculation of one-loop integrals. https://doi.org/10.1016/j.cpc.2015.08.017

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