Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-07-17
J.Phys.G28:727-736,2002
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, LaTeX, 6 figures. Talk presented at the workshops `New Trends in HERA Physics 2001', Ringberg Castle (Germany), June
Scientific paper
10.1088/0954-3899/28/5/301
We summarize recent results on the evolution of unpolarized parton densities and deep-inelastic structure functions in massless perturbative QCD. Due to last year's extension of the integer-moment calculations of the three-loop splitting functions, the NNLO evolution of the parton distributions can now be performed reliably at momentum fractions x >= 10^-4, facilitating a considerably improved theoretical accuracy of their extraction from data on deep-inelastic scattering. The NNLO corrections are not dominated, at relevant values of x, by their leading small-x terms. At large x the splitting-function series converges very rapidly, hence, employing results on the three-loop coefficient functions, the structure functions can be analysed at N^3LO for x > 10^-2. The resulting values for alpha_s do not significantly change beyond NNLO, their renormalization scale dependence reaches about +-1% at N^3LO.
van Neerven W. L.
Vogt Adam
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