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

Journal of High Energy Physics volume 2019, Article number: 177 (2019) Cite this article

A preprint version of the article is available at arXiv.

Abstract

We compute all helicity amplitudes for four particle scattering in massless QCD with nf 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 (N3LO) 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.

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  1. Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, Föhringer Ring 6, 80805, München, Germany

    Taushif Ahmed & Johannes Henn

  2. Center for Theoretical Physics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA, 02139, USA

    Bernhard Mistlberger

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  1. Taushif Ahmed
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Ahmed, T., Henn, J. & Mistlberger, B. Four-particle scattering amplitudes in QCD at NNLO to higher orders in the dimensional regulator. J. High Energ. Phys. 2019, 177 (2019). https://doi.org/10.1007/JHEP12(2019)177

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Keywords

  • NLO Computations
  • QCD Phenomenology