Elsevier Science Home
Computer Physics Communications Program Library
Full text online from Science Direct
Programs in Physics & Physical Chemistry
CPC Home

[Licence| Download | New Version Template] aext_v1_0.tar.gz(1195 Kbytes)
Manuscript Title: Package-X: A Mathematica package for the analytic calculation of one-loop integrals
Authors: Hiren H. Patel
Program title: Package-X
Catalogue identifier: AEXT_v1_0
Distribution format: tar.gz
Journal reference: Comput. Phys. Commun. 197(2015)276
Programming language: Mathematica (Wolfram Language).
Computer: Any, which supports Mathematica.
Operating system: Windows, Mac OS X, Linux (or any system supporting Mathematica 8.0 or higher).
RAM: 10 MB, depending on size of computation
Keywords: One-loop, Feynman Integrals, Passarino-Veltman.
Classification: 4.4, 11.1.

Nature of problem:
Analytic calculation of one-loop integrals in relativistic quantum field theory for arbitrarily high-rank tensor integrals and any kinematic configuration of real-valued external invariants and internal masses.

Solution method:
Passarino-Veltman reduction formula, Denner-Dittmaier reduction formulae, and two new reduction algorithms described in the manuscript.

Restrictions:
One-loop integrals are limited to those involving no more than three propagator factors.

Unusual features:
Includes rudimentary routines for tensor algebraic operations and for performing traces over Dirac gamma matrices.

Running time:
5ms to 10s for integrals typically occurring in practical computations; longer for higher rank tensor integrals.