Package-X 2.0: A Mathematica package for the analytic calculation of one-loop integrals

By Hiren H. Patel. Computer Physics Communications, 2016

299 citations recorded by the source corpus.

This article summarizes new features and enhancements of the first major update of Package-X. Package-X 2.0 can now generate analytic expressions for arbitrarily high rank dimensionally regulated tensor integrals with up to four distinct propagators, each with arbitrary integer weight, near an arbitrary even number of spacetime dimensions, giving UV divergent, IR divergent, and finite parts at (almost) any real-valued kinematic point. Additionally, it can generate multivariable Taylor series expansions of these integrals around any non-singular kinematic point to arbitrary order. All special functions and abbreviations output by Package-X 2.0 supports Mathematica’s arbitrary precision evaluation capabilities to deal with issues of numerical stability. Finally, tensor algebraic routines of Package-X have been polished and extended to support open fermion chains both on and off shell. The documentation (equivalent to over 100 printed pages) is accessed through Mathematica’s Wolfram Documentation Center and contains information on all Package-X symbols, with over 300 basic usage examples, 3 project-scale tutorials, and instructions on linking to FeynCalc and LoopTools.

Subfields: Artificial Intelligence, Computer Networks and Communications, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f3b0e07173f7ddbe8b3a6c9685d284a6bf7250cd

How researchers see this paper

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In Artificial Intelligence

1. Stefan Dittmaier
2. Ansgar Denner
3. Martin Beneke
4. R. Szafron
5. C. Bobeth

In Computer Networks and Communications

1. Martin Beneke
2. R. Szafron
3. Stefan Dittmaier
4. C. Bobeth
5. Ansgar Denner

In Nuclear and High Energy Physics

1. Ansgar Denner
2. Stefan Dittmaier
3. C. Bobeth
4. R. Szafron
5. Stefan Kallweit
6. Martin Beneke
7. Stefano Pozzorini
8. M. Schönherr

Citations in the corpus

• Power-enhanced leading-logarithmic QED corrections to Bq→ μ+μ− (2019, methodology): “The one-loop expression contains logarithms of the ratio of hard-collinear over collinear virtualities, ln(μhc/μc), for insertions of Q9 and (1)The analytic solutions of the one-loop integrals were also obtained with “Package X” [29,30].”
• Electroweak radiative corrections for collider physics (2019, methodology): “• PackageX is a Mathematica package for the analytic calculation and symbolic manipulation of one-loop Feynman integrals in relativistic quantum field theory [231, 232].”