All Two-Loop Feynman Integrals for Five-Point One-Mass Scattering

TL;DR

This paper computes all two-loop master integrals for five-particle scattering with one massive particle, enabling precise NNLO QCD calculations and advancing understanding of quantum field theory and Feynman integrals.

Contribution

It provides the complete set of two-loop master integrals for five-point scattering with one mass, a key step for NNLO QCD corrections and theoretical insights.

Findings

Ready-to-use integrals for phenomenology

Facilitates NNLO calculations for LHC processes

Provides analytic data for mathematical properties of Feynman integrals

Abstract

We compute the complete set of two-loop master integrals for the scattering of four massless particles and a massive one. Our results are ready for phenomenological applications, removing a major obstacle to the computation of complete next-to-next-to-leading order (NNLO) QCD corrections to processes such as the production of a $H/Z/W$ boson in association with two jets at the LHC. Furthermore, they open the door to new investigations into the structure of quantum-field theories and provide precious analytic data for studying the mathematical properties of Feynman integrals.