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NNLO evolution of deep-inelastic structure functions: the singlet case

2000; Elsevier BV; Volume: 588; Issue: 1-2 Linguagem: Inglês

10.1016/s0550-3213(00)00480-6

1873-1562

W.L. van Neerven, A. Vogt,

Quantum Chromodynamics and Particle Interactions

We study the next-to-next-to-leading order (NNLO) evolution of flavour singlet parton densities and structure functions in massless perturbative QCD. Present information on the corresponding three-loop splitting functions is used to derive parametrizations of these quantities, including Bjorken- x dependent estimates of their residual uncertainties. Compact expressions are also provided for the exactly known, but in part rather lengthy two-loop singlet coefficient functions. The size of the NNLO corrections and their effect on the stability under variations of the renormalization and mass-factorization scales are investigated. Except for rather low values of the scales, the residual uncertainty of the three-loop splitting functions does not lead to relevant effects for x>10−3 . Inclusion of the NNLO contributions considerably reduces the theoretical uncertainty of determinations of the quark and gluon densities from deep-inelastic structure functions.