Improved Approximations for the Three-Loop Splitting Functions in QCD

Details Improved Approximations for the Three-Loop Splitting Functions in QCD Improved Approximations for the Three-Loop Splitting Functions in QCD

2000-07-31

arxiv.org/abs/hep-ph/0007362v1

Phys.Lett.B490:111-118,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, LaTeX, 4 eps-figures

Scientific paper

10.1016/S0370-2693(00)00953-9

We update our approximate parametrizations of the three-loop splitting functions for the evolution of unpolarized parton densities in perturbative QCD. The new information taken into account is given by the additional Mellin moments recently calculated by Retey and Vermaseren. The inclusion of these constraints reduces the uncertainties of our approximations considerably and extends their region of applicability by about one order of magnitude to lower momentum fractions x .

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