Package-X: A Mathematica package for the analytic calculation of one-loop integrals
By Hiren H. Patel. Computer Physics Communications, 2015
566 citations recorded by the source corpus.
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.
Subfields: Artificial Intelligence, Computational Theory and Mathematics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/eaa6bdba62d4ec23dc8314997633cf9f79393b8b
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In Artificial Intelligence
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In Computational Theory and Mathematics
- Ansgar Denner
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- Frederik Orellana
- Moritz Platscher
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In Nuclear and High Energy Physics
- Ansgar Denner
- Stefan Dittmaier
- Lars Hofer
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- R. Szafron
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- Gudrun Heinrich
Citations in the corpus
- Collier: A fortran-based complex one-loop library in extended regularizations (2016, background): “Several integral libraries are already available for the calculation of oneloop scalar and tensor integrals: FF [60], LoopTools [24], QCDLoop [61], OneLOop [62], Golem95C [63], PJFry [51], and Package-X [64].”
- A Call for New Physics : The Muon Anomalous Magnetic Moment and Lepton Flavor Violation (2016, methodology): “All results have been numerically cross-checked with the Mathematica Package-X [458].”
- New developments in FeynCalc 9.0 (2016, methodology): “There are indeed also other publicly available software packages (HEPMath [24] and Package-X [25]) that follow the semi-automatic approach to QFT calculations and exhibit many similarities to FeynCalc.”
- 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].”