Four-particle scattering amplitudes in QCD at NNLO to higher orders in the 
dimensional regulator

Ahmed, Taushif; Henn, Johannes; Mistlberger, Bernhard

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Four-particle scattering amplitudes in QCD at NNLO to higher orders in the dimensional regulator

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Ahmed, Taushif
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Henn, Johannes
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Mistlberger, Bernhard
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

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Citation

Ahmed, T., Henn, J., & Mistlberger, B. (2019). Four-particle scattering amplitudes in QCD at NNLO to higher orders in the dimensional regulator. Journal of High Energy Physics, 1912, 177. Retrieved from https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2019-129.

Cite as: https://hdl.handle.net/21.11116/0000-0005-D705-3

Abstract

We compute all helicity amplitudes for four-particle scattering in massless QCD with $n_f$ fermion flavours to next-to-next-to-leading order (NNLO) in perturbation theory. In particular, we consider all possible configurations of external quarks and gluons. We evaluate the amplitudes in terms of a Laurent series in the dimensional regulator to the order required for future next-to-next-to-next-to-leading order (N$^3$LO) calculations. The coefficients of the Laurent series are given in terms of harmonic polylogarithms that can readily be evaluated numerically. We present our findings in the conventional dimensional regularisation and in the t'Hooft-Veltman schemes.