TL;DR
This paper provides the complete leading-color two-loop QCD corrections necessary for precise three-jet production calculations at hadron colliders, including analytic formulas and a C++ library for practical use.
Contribution
It delivers the full set of two-loop leading-color corrections with analytic expressions and a computational library, advancing NNLO QCD predictions for three-jet processes.
Findings
Analytic expressions for finite remainders are derived.
A C++ library for numerical evaluation is developed.
Results are valid in the physical region for collider phenomenology.
Abstract
We present the complete set of leading-color two-loop contributions required to obtain next-to-next-to-leading-order (NNLO) QCD corrections to three-jet production at hadron colliders. We obtain analytic expressions for a generating set of finite remainders, valid in the physical region for three-jet production. The analytic continuation of the known Euclidean-region results is determined from a small set of numerical evaluations of the amplitudes. We obtain analytic expressions that are suitable for phenomenological applications and we present a C++ library for their efficient and stable numerical evaluation.
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