Numerical multi-loop calculations with the program SecDec

TL;DR

SecDec is a computational tool designed for numerical evaluation of multi-loop integrals in quantum field theory, capable of handling complex parametric integrals and producing Laurent series expansions.

Contribution

The paper introduces new features of SecDec that expand its applicability, including a recent example of calculating two-loop corrections to Higgs boson masses in the MSSM.

Findings

Successfully evaluated two-loop corrections in MSSM.

Extended SecDec's applicability to more complex integrals.

Demonstrated numerical stability and efficiency.

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.