Abstract
We present the analytic form of all leading-color two-loop five-parton helicity amplitudes in QCD. The results are analytically reconstructed from exact numerical evaluations over finite fields. Combining a judicious choice of variables with a new approach to the treatment of particle states in D dimensions for the numerical evaluation of amplitudes, we obtain the analytic expressions with a modest computational effort. Their systematic simplification using multivariate partial-fraction decomposition leads to a particularly compact form. Our results provide all two-loop amplitudes required for the calculation of next-to-next-to-leading order QCD corrections to the production of three jets at hadron colliders in the leading-color approximation.
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Abreu, S., Dormans, J., Febres Cordero, F. et al. Analytic form of the planar two-loop five-parton scattering amplitudes in QCD. J. High Energ. Phys. 2019, 84 (2019). https://doi.org/10.1007/JHEP05(2019)084
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DOI: https://doi.org/10.1007/JHEP05(2019)084