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- W4231853527 abstract "We compute the next-to-next-to-leading order (NNLO) contributions to the splitting functions governing the evolution of the unpolarized flavour-singlet parton densities in perturbative QCD. The exact expressions are presented in both Mellin-N and Bjorken-x space. We also provide accurate parametrizations for practical applications. Our results agree with all partial results available in the literature. As in the non-singlet case, the correct leading logarithmic predictions for small momentum fractions x do not provide good estimates of the respective complete splitting functions. We investigate the size of the corrections and the stability of the NNLO evolution under variation of the renormalization scale. The perturbative expansion appears to converge rapidly at x >~ 10^-3. Relatively large third-order corrections are found at smaller values of x." @default.
- W4231853527 created "2022-05-12" @default.
- W4231853527 creator A5006263563 @default.
- W4231853527 creator A5026594041 @default.
- W4231853527 creator A5048506244 @default.
- W4231853527 date "2004-07-01" @default.
- W4231853527 modified "2023-10-10" @default.
- W4231853527 title "The three-loop splitting functions in QCD: the singlet case" @default.
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- W4231853527 doi "https://doi.org/10.1016/j.nuclphysb.2004.04.024" @default.
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