Analytic Form of the Full Two-Loop Five-Gluon All-Plus Helicity Amplitude.

S Badger,D Chicherin,P Wasser,T Peraro,G Heinrich,Y Zhang,S Zoia,T Gehrmann,J M Henn

doi:10.1103/physrevlett.123.071601

Abstract

We compute the full-color two-loop five-gluon amplitude for the all-plus helicity configuration. In order to achieve this, we calculate the required master integrals for all permutations of the external legs, in the physical scattering region. We verify the expected divergence structure of the amplitude and extract the finite hard function. We further validate our result by checking the factorization properties in the collinear limit. Our result is fully analytic and valid in the physical scattering region. We express it in a compact form containing logarithms, dilogarithms, and rational functions.

Highlights

Introduction.—The abundant amount of data to be collected by the ATLAS and CMS Collaborations in future runs of the Large Hadron Collider at CERN opens up a new era of precision physics
The physics exploitation of these precision data requires highly accurate theory predictions, which are obtained through the computation of higher orders in perturbation theory
Either analytical [7,8,9,10,11,12,13,14] or seminumerical [15,16], as well as with the computation of the two-loop five-point functions for planar [17,18,19] and nonplanar [20,21,22] integral topologies. The latter developments have already led to first results for two-loop five-point amplitudes in supersymmetric Yang-Mills theory [21,23] and supergravity [24,25]

Summary

Introduction

Introduction.—The abundant amount of data to be collected by the ATLAS and CMS Collaborations in future runs of the Large Hadron Collider at CERN opens up a new era of precision physics. Analytic Form of the Full Two-Loop Five-Gluon All-Plus Helicity Amplitude We compute the full-color two-loop five-gluon amplitude for the all-plus helicity configuration. In order to achieve this, we calculate the required master integrals for all permutations of the external legs, in the physical scattering region.

Results

Conclusion