Status of double virtual NNLO QCD corrections for high multiplicity processes

TL;DR

This paper reviews recent progress in calculating two-loop five-point amplitudes for high multiplicity processes at NNLO QCD, crucial for precision LHC predictions, highlighting new basis functions and challenges beyond massless scattering.

Contribution

It introduces a basis set of transcendental functions for planar two-loop five-particle amplitudes with one massive leg, enabling more efficient analytic and numerical evaluations.

Findings

Development of a basis of transcendental functions for two-loop five-point amplitudes.

Facilitation of compact analytic expressions for scattering amplitudes.

Potential applications in electroweak boson production phenomenology.

Abstract

Pushing the reach of NNLO QCD predictions to $2\to3$ production processes is one of the pillars of precision phenomenology program at the LHC. In this talk we will overview recent results and developments in the calculation of two-loop five-point amplitudes contributing towards achieving this goal. We will discuss challenges encountered in advancing the state-of-the-art beyond the class of massless five-point scattering. We will then present a basis set of transcendental functions sufficient to express any planar two-loop five-particle scattering amplitude with one external massive leg. This basis greatly facilitates derivation of compact analytic form of scattering amplitudes, and opens a possibility of their fast and reliable numerical evaluation. Applications for phenomenology of electroweak boson production can be reasonably anticipated in the near future.