Numerical multi-loop calculations with the program SecDec

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.Comment: 9 pages, 5 figures; contribution to the proceedings of the conference ACAT 2014 (Advanced Computing and Analysis Techniques in physics), Prague, Czech Republic, September 201

QCD and High Energy Interactions: Moriond 2018 Theory Summary

The highlights of the theory developments presented at the Rencontres de Moriond 2018 on QCD and High Energy Interactions are summarised and put into perspective.Comment: 9 pages, contribution to the 53rd Rencontres de Moriond on QCD and High Energy Interactions (Moriond QCD 2018), La Thuile, Italy, March 17-24, 2018. Version 2: references update

Numerical evaluation of massive multi-loop integrals with SecDec

The program package SecDec is presented, allowing the numerical evaluation of multi-loop integrals. The restriction to Euclidean kinematics of version 1.0 has been lifted: thresholds can be handled by an automated deformation of the integration contour into the complex plane. Other new features of the program, which go beyond the standard decomposition of loop integrals, are also described. The program is publicly available at http://secdec.hepforge.org.Comment: 6 pages, proceedings of the 11th DESY workshop "Loops and Legs in Quantum Field Theory", April 2012, Wernigerode, German

SecDec: A tool for numerical multi-loop calculations

The version 2.0 of the program SecDec is described, which can be used for the extraction of poles within dimensional regularisation from multi-loop integrals as well as phase space integrals. The numerical evaluation of the resulting finite functions is also done by the program in an automated way, with no restriction on the kinematics in the case of loop integrals.Comment: 9 pages, Based on a talk given at the 14th International Workshop on Advanced Computing and Analysis Techniques in Physics Research (ACAT), Uxbridge, London, UK, September 201

NLO QCD corrections to W+ W- b anti-b production with leptonic decays in the light of top quark mass and asymmetry measurements

We present the NLO QCD corrections to the processes p p and p anti-p to W+ W- b anti-b including leptonic decays of the W bosons. Non-resonant contributions as well as diagrams with doubly resonant and singly resonant top quark propagators are fully taken into account. We employ the narrow width approximation to perform the decays of the W bosons; spin correlations are however preserved. We also calculate observables relevant for top quark mass measurements, and study the impact of kinematical requirements and different scale choices on t anti-t asymmetries.Comment: 29 pages, 14 figures, version submitted to and accepted by JHE

A numerical method for NNLO calculations

A method to isolate the poles of dimensionally regulated multi-loop integrals and to calculate the pole coefficients numerically is extended to be applicable to phase space integrals as well.Comment: 5 pages, Talk presented at Radcor/Loops and Legs 2002, to appear in the proceeding