Optimizations for the computation of radiative corrections

doi:10.1016/S0920-5632(03)80200-1

Nuclear Physics B - Proceedings Supplements

Volume 116, March 2003, Pages 363-367

https://doi.org/10.1016/S0920-5632(03)80200-1 Get rights and content

Abstract

Two methods are presented with which the CPU time spent on the calculation of radiative corrections can be significantly reduced. The first is the parallelization of the program, which can be surprisingly simple to implement under certain circumstances often met in the calculation of radiative corrections. The second is the efficient direct calculation of fermion chains. The latter not only improves the overall performance of the program, but introduces better conceptual clarity as well, as it allows for a homogeneous treatment of bosonic and fermionic amplitudes.

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This article introduces the Mathematica package HEPMath which provides a number of utilities and algorithms for High Energy Physics computations in Mathematica. Its functionality is similar to packages like FormCalc or FeynCalc, but it takes a more complete and extensible approach to implementing common High Energy Physics notations in the Mathematica language, in particular those related to tensors and index contractions. It also provides a more flexible method for the generation of numerical code which is based on new features for C code generation in Mathematica. In particular it can automatically generate Python extension modules which make the compiled functions callable from Python, thus eliminating the need to write any code in a low-level language like C or Fortran. It also contains seamless interfaces to LHAPDF, FeynArts, and LoopTools.
Program title: HEPMath
Catalogue identifier: AEWU_v1_0
Program summary URL:http://cpc.cs.qub.ac.uk/summaries/AEWU_v1_0.html
Program obtainable from: CPC Program Library, Queen’s University, Belfast, N. Ireland
Licensing provisions: Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.html
No. of lines in distributed program, including test data, etc.: 27360
No. of bytes in distributed program, including test data, etc.: 668749
Distribution format: tar.gz
Programming language: Mathematica, C and python.
Computer: Workstation.
Operating system: Linux.
Classification: 11.1, 5, 4.4.
External routines: FeynArts (optional), LoopTools (optional), LHAPDF (optional)
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Automatisation of (Feynman diagrammatic) computations in High Energy Physics, representation and manipulation of tensors with symbolic indices in the Mathematica language, generation of numerical code and interface to Python.
Solution method:
A Mathematica package which provides functions to construct and manipulate tensor expressions in Mathematica and interface to other popular tools in High Energy Physics.
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Catalogue identifier: AEDI_v1_0
Program summary URL:: http://cpc.cs.qub.ac.uk/summaries/AEDI_v1_0.html
Program obtainable from: CPC Program Library, Queen's University, Belfast, N. Ireland
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Computer: Platforms on which Mathematica is available
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Classification: 11.1, 11.2, 11.6
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