Numerical multi-loop calculations with the program SecDec

Abstract

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. DOI: https://doi.org/10.1088/1742-6596/608/1/012062 Posted at the Zurich Open Repository and Archive, University of Zurich ZORA URL: https://doi.org/10.5167/uzh-121354 Accepted Version Originally published at: Borowka, Sophia; Heinrich, Gudrun (2015). Numerical multi-loop calculations with the program SecDec. Journal of Physics : Conference Series, 608:012062. DOI: https://doi.org/10.1088/1742-6596/608/1/012062 ar X iv :1 41 1. 09 94 v1 [ he pph ] 4 N ov 2 01 4 Numerical multi-loop calculations with the program SecDec Sophia Borowka1, Gudrun Heinrich2,3 1 Institute for Physics, University of Zurich, Winterthurerstr.190, 8057 Zurich, Switzerland 2 Max Planck Institute for Physics, Föhringer Ring 6, 80805 Munich, Germany E-mail: sborowka@physik.uzh.ch, gudrun@mpp.mpg.de Abstract. 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, factorises 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. 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, factorises 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.

Cite this paper

@inproceedings{Borowka2017NumericalMC, title={Numerical multi-loop calculations with the program SecDec}, author={Sophia Borowka and Gudrun Heinrich}, year={2017} }