Programs in Physics & Physical Chemistry
|[Licence| Download | New Version Template] aeir_v3_0.tar.gz(1612 Kbytes)|
|Manuscript Title: SecDec-3.0: numerical evaluation of multi-scale integrals beyond one loop|
|Authors: S. Borowka, G. Heinrich, S. P. Jones, M. Kerner, J. Schlenk, T. Zirke|
|Program title: SecDec 3.0|
|Catalogue identifier: AEIR_v3_0|
Distribution format: tar.gz
|Journal reference: Comput. Phys. Commun. 196(2015)470|
|Programming language: Wolfram Mathematica, perl, Fortran/C++.|
|Computer: From a single PC to a cluster, depending on the problem.|
|Operating system: Unix, Linux.|
|RAM: Depending on the complexity of the problem|
|Keywords: Perturbation theory, Feynman diagrams, multi-loop, numerical integration.|
|Classification: 4.4, 5, 11.1.|
Does the new version supersede the previous version?: Yes
Nature of problem:
Extraction of ultraviolet and infrared singularities from parametric integrals appearing in higher order perturbative calculations in gauge theories. Numerical integration in the presence of integrable singularities (e.g. kinematic thresholds).
Algebraic extraction of singularities within dimensional regularization using iterated sector decomposition. This leads to a Laurent series in the dimensional regularization parameter , where the coefficients are finite integrals over the unit-hypercube. Those integrals are evaluated numerically by Monte Carlo integration. The integrable singularities are handled by choosing a suitable integration contour in the complex plane, in an automated way.
Reasons for new version:
Summary of revisions:
Depending on the complexity of the problem, limited by memory and CPU time.
Between a few seconds and several hours, depending on the complexity of the problem.
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