Numerical multi-loop calculations with the program SecDec

16th International workshop on Advanced Computing and Analysis Techniques in physics research

物理学;计算机科学

Borowka, Sophia^1 ; Heinrich, Gudrun^2

Institute for Physics, University of Zurich, Winterthurerstr.190, Zurich

8057, Switzerland^1

Max Planck Institute for Physics, Föhringer Ring 6, Munich

80805, Germany^2

关键词: Dimensional regularization;    Graph polynomials;    Laurent series;    Momentum-dependent;    Multi-loops;    Neutral Higgs bosons;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/608/1/012062/pdf
DOI  :  10.1088/1742-6596/608/1/012062

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

SecDec is a program which can be used for the evaluation of parametric integrals, in particular multi-loop integrals. For a given set of propagators defining the graph, the program constructs the graph polynomials, factorizes the endpoint singularities, and finally produces a Laurent series in the dimensional regularization parameter, whose coefficients are evaluated numerically. In this talk we discuss various features of the program, which extend the range of applicability. We also present a recent phenomenological example of an application entering the momentum dependent two-loop corrections to neutral Higgs boson masses in the MSSM.