Four-particle scattering amplitudes in QCD at NNLO to higher orders in the dimensional regulator
Author(s)Ahmed, Taushif; Henn, Johannes; Mistlberger, Bernhard
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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.
DepartmentMassachusetts Institute of Technology. Center for Theoretical Physics
Springer Berlin Heidelberg
Journal of High Energy Physics. 2019 Dec 30;2019(12):177
Final published version