Computer Physics Communications Program LibraryPrograms in Physics & Physical Chemistry |

[Licence| Download | New Version Template] aeir_v2_0.tar.gz(2087 Kbytes) | ||
---|---|---|

Manuscript Title: Numerical evaluation of multi-loop integrals for arbitrary kinematics with SecDec 2.0 | ||

Authors: Sophia Borowka, Jonathon Carter, Gudrun Heinrich | ||

Program title: SecDec 2.0 | ||

Catalogue identifier: AEIR_v2_0Distribution format: tar.gz | ||

Journal reference: Comput. Phys. Commun. 184(2013)396 | ||

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, Infrared and threshold singularities, Numerical integration. | ||

PACS: 12.38.Bx, 02.60.Jh, 02.70.Wz. | ||

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 in dimensional regularisation using iterated sector decomposition. This leads to a Laurent series in the dimensional regularisation parameter ε, 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:In the previous version the calculation of multi-scale integrals was restricted to the Euclidean region. Now multi-loop integrals with arbitrary, physical kinematics can be evaluated. Another major improvement is the possibility of full parallelisation. | ||

Summary of revisions:- no restriction on the kinematics for multi-loop integrals.
- integrand can be constructed from the topologiocal cuts of the diagram.
- possibility of full parallelisation.
- numerical integration of multi-loop integrals written in C++ rather than Fortran.
- possibility to loop over ranges of parameters.
| ||

Restrictions:Depending on the complexity of the problem, limited by memory and CPU time. The restriction that multi-scale integrals could only be evaluated at Euclidean points is superseded in version 2.0. | ||

Running time:Between a few minutes and several days, depending on the complexity of the problem. Test runs provided take only seconds. |

Disclaimer | ScienceDirect | CPC Journal | CPC | QUB |