On the Next-to-Next-to-Leading Order Evolution of Flavour-Singlet Fragmentation Functions
Abstract
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.
Keywords
Cite
@article{arxiv.1107.2263,
title = {On the Next-to-Next-to-Leading Order Evolution of Flavour-Singlet Fragmentation Functions},
author = {A. A. Almasy and A. Vogt and S. Moch},
journal= {arXiv preprint arXiv:1107.2263},
year = {2015}
}
Comments
18 pages, LaTeX, 2 figures (.eps). FORM and Fortran files of main results included in source