Abstract
We compute the three-loop master integrals required for the calculation of the triple-real contribution to the N3LO quark beam function due to the splitting of a quark into a virtual quark and three collinear gluons, q → q* + ggg. This provides an important ingredient for the calculation of the leading-color contribution to the quark beam function at N3LO.
Highlights
The calculation of the N3LO QCD corrections to the Higgs boson production cross section is a landmark in perturbative computations in collider physics, the extension of the methods used in that computation to more complicated final states and more differential observables does not appear to be straightforward and it is interesting to think about alternative options
The difference between pp → V +j at NNLO QCD and pp → V at N3LO QCD is that the jet in the former case can become unresolved and that the virtual corrections to pp → V have no counterpart in the pp → V + j calculation
We focus on the master integrals required for the computation of the refer to as the triple-real contribution (RRR) contribution to the matching coefficient that originate from the process where the initialstate quark emits three collinear gluons before entering the hard scattering process
Summary
Since the difference between the two calculations appears in the kinematic regions where the colorsinglet final state barely recoils against the QCD radiation, one can imagine partitioning the phase space into regions with and without recoil, using the NNLO QCD prediction for pp → V + j in the former region and studying the virtual corrections together with soft and collinear QCD radiation in the latter This is the essence of a so-called slicing method. In the current paper we will focus on the latter variable and, in particular, on the case of 0-jettiness, which is required to describe the inclusive production of a color-singlet final state To this end, we consider the process pp → V + X, where X represents the final-state QCD radiation.
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