Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-07-12
Physics
High Energy Physics
High Energy Physics - Phenomenology
18 pages, LaTeX, 2 figures (.eps). FORM and Fortran files of main results included in source
Scientific paper
We present the third-order contributions to the quark-gluon and gluon-quark timelike splitting functions for the evolution of fragmentation functions in perturbative QCD. These quantities have been derived by studying physical evolution kernels for photon- and Higgs-exchange structure functions in deep inelastic scattering and their counterparts in semi-inclusive annihilation, together with constraints from the momentum sum rule and the supersymmetric limit. For this purpose we have also calculated the second-order coefficient functions for one-hadron inclusive Higgs decay in the heavy-top limit. A numerically tolerable uncertainty remains for the quark-gluon splitting function, which does not affect the endpoint logarithms for small and large momentum fractions. We briefly discuss these limits and illustrate the numerical impact of the third-order corrections. Compact and accurate parametrizations are provided for all third-order timelike splitting functions.
Almasy Andrea A.
Moch Sven
Vogt Adam
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