SecDec: A tool for numerical multi-loop calculations

Abstract

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.

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 2011

References in corpus (17)

• Cuba - a library for multidimensional numerical integration
• An automatized algorithm to compute infrared divergent multi-loop integrals
• Connection between Feynman integrals having different values of the space-time dimension
• Massive Feynman diagrams and inverse binomial sums
• An algebraic/numerical formalism for one-loop multi-leg amplitudes
• Sector Decomposition
• Resolution of singularities for multi-loop integrals
• SecDec: A general program for sector decomposition
• Numerical integration of one-loop Feynman diagrams for N-photon amplitudes
• High-Energy Approximation of One-Loop Feynman Integrals
• Techniques for QCD calculations by numerical integration
• All-Purpose Numerical Evaluation of One-Loop Multi-Leg Feynman Diagrams
• Master Integrals for the 2-loop QCD virtual corrections to the Forward-Backward Asymmetry
• Numerical Evaluation of Tensor Feynman Integrals in Euclidean Kinematics
• Algebraic algorithms for multiloop calculations. The first 15 years. What's next?
• The Differential equation method: calculation of vertex-type diagrams with one non-zero mass
• Two-Loop Vertices in Quantum Field Theory: Infrared Convergent Scalar Configurations

Cited by in corpus (8)

• Black Hole Binary Dynamics from the Double Copy and Effective Theory
• FIESTA 4: optimized Feynman integral calculations with GPU support
• Predictive Model for Radiatively Induced Neutrino Masses and Mixings with Dark Matter
• FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions
• FIESTA5: numerical high-performance Feynman integral evaluation
• Semi-analytical calculation of gluon fragmentation into ${}^1{S}_0^{[1,8]}$ quarkonia at next-to-leading order
• Dispersion Approach in Two-Loop Calculations
• Recurrence Relations and Dispersive Techniques for Precision Multi-Loop Calculations