On Third-Order Timelike Splitting Functions and Top-Mediated Higgs Decay into Hadrons

Details On Third-Order Timelike Splitting Functions and Top-Mediated Higgs Decay into Hadrons On Third-Order Timelike Splitting Functions and Top-Mediated Higgs Decay into Hadrons

2007-09-25

arxiv.org/abs/0709.3899v1

Phys.Lett.B659:290-296,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, LaTeX, 2 eps-figures

Scientific paper

10.1016/j.physletb.2007.10.069

We employ relations between spacelike and timelike deep-inelastic processes in perturbative QCD to calculate the next-to-next-to-leading order (NNLO) contributions to the timelike quark-quark and gluon-gluon splitting functions for the evolution of flavour-singlet fragmentation distributions. We briefly address the end-point behaviour and the numerical size of these third-order corrections, and write down the second moments of all four timelike splitting functions. In the same manner we re-derive the NNLO result for the Higgs-boson decay rate into hadrons in the limit of a heavy top quark and five massless flavours, and confirm the recent N^3LO computation of this quantity.

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