Computer Physics Communications Program LibraryPrograms in Physics & Physical Chemistry |

[Licence| Download | New Version Template] aeir_v3_0.tar.gz(1612 Kbytes) | ||
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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_0Distribution 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). | ||

Solution method: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:- Improved user interface
- Additional new decomposition strategies
- Usage on a cluster is much improved
- Speed-up in numerical evaluation times
- Various new features (please see below)
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Summary of revisions:- Implementation of two new decompositions strategies based on a geometric algorithm
- Scans over large ranges of parameters are facilitated
- Linear propagators can be treated
- Propagators with negative indices are possible
- Interface to reduction programs like Reduze, Fire, LiteRed facilitated
- Option to use numerical integrator from Mathematica
- Using CQUAD for 1-dimensional integrals to improve speed of numerical evaluations
- Option to include epsilon-dependent dummy functions
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Restrictions:Depending on the complexity of the problem, limited by memory and CPU time. | ||

Running time:Between a few seconds and several hours, depending on the complexity of the problem. |

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