Sec Dec-3.0: Numerical evaluation of multi-scale integrals beyond one loop

被引:150
作者
Borowka, S. [1 ]
Heinrich, G. [2 ]
Jones, S. P. [2 ,3 ]
Kerner, M. [2 ]
Schlenk, J. [2 ]
Zirke, T. [2 ]
机构
[1] Univ Zurich, Inst Phys, CH-8057 Zurich, Switzerland
[2] Max Planck Inst Phys & Astrophys, D-80805 Munich, Germany
[3] Univ Freiburg, Inst Phys, D-79104 Freiburg, Germany
关键词
Perturbation theory; Feynman diagrams; Multi-loop; Numerical integration; EVEN HIGGS BOSONS; MULTILOOP INTEGRALS; FEYNMAN-INTEGRALS; MASTER INTEGRALS; PROGRAM; MASSES; MSSM; FEYNHIGGS; DIAGRAMS; VERSION;
D O I
10.1016/j.cpc.2015.05.022
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
SEcDEc is a program which can be used for the factorization of dimensionally regulated poles from parametric integrals, in particular multi-loop integrals, and the subsequent numerical evaluation of the finite coefficients. Here we present version 3.0 of the program, which has major improvements compared to version 2: it is faster, contains new decomposition strategies, an improved user interface and various other new features which extend the range of applicability. Program summary Program title: SecDec 3.0 Catalogue identifier: AEIR_v3_0 Program summary URL: http://cpc.cs.qub.ac.uk/summaries/AEIR_v3_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.: 123828 No. of bytes in distributed program, including test data, etc.: 1651026 Distribution format: tar.gz Programming language: Wolfram Mathematica, pen, 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 Classification: 4.4, 5, 11.1. Catalogue identifier of previous version: AEIR_v2_1 Journal reference of previous version: Comput. Phys. Comm. 184(2013)2552 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). 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. 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. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:470 / 491
页数:22
相关论文
共 65 条
  • [1] FormCalc 7
    Agrawal, S.
    Hahn, T.
    Mirabella, E.
    [J]. 14TH INTERNATIONAL WORKSHOP ON ADVANCED COMPUTING AND ANALYSIS TECHNIQUES IN PHYSICS RESEARCH (ACAT 2011), 2012, 368
  • [2] Evaluating multi-loop Feynman diagrams with infrared and threshold singularities numerically
    Anastasiou, Charalampos
    Beerli, Stefan
    Daleo, Alejandro
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2007, (05):
  • [3] [Anonymous], 1966, COMMUN MATH PHYS, DOI DOI 10.1007/BF01773358
  • [4] [Anonymous], ARXIV14086373
  • [5] [Anonymous], 2006, Feynman Integral Calculus
  • [6] [Anonymous], JHEP
  • [7] [Anonymous], ARXIV12122685
  • [8] Light-cone gauge and the calculation of the two-loop splitting functions
    Bassetto, A
    Heinrich, G
    Kunszt, Z
    Vogelsang, W
    [J]. PHYSICAL REVIEW D, 1998, 58 (09)
  • [9] Numerical NLO QCD calculations
    Becker, Sebastian
    Reuschle, Christian
    Weinzierl, Stefan
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2010, (12):
  • [10] Beerli S, 2008, THESIS ETH ZURICH