Two-loop amplitude generation in OpenLoops

Abstract

Numerical tools, such as OpenLoops, provide NLO scattering amplitudes for a very wide range of hard scattering amplitudes in a fully automated way. In order to match the numerical precision of current and future experiments, however, the higher precision of NNLO calculations is essential, and their automation in a similar tool highly desirable. In our approach, D-dimensional amplitudes are decomposed into loop-momentum tensor integrals with coefficients constructed in four dimensions and rational terms. We present a fully generic algorithm for the efficient numerical construction of the tensor coefficients, which constitutes an important building block for an automated NNLO tool.

Comments: Contribution to the proceedings of the 15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology (RADCOR + LoopFest 2021); v2: Typos fixed, reference updated