On Third-Order Timelike Splitting Functions and Top-Mediated Higgs Decay into Hadrons
High Energy Physics - Phenomenology
2008-11-26 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0709.3899,
title = {On Third-Order Timelike Splitting Functions and Top-Mediated Higgs Decay into Hadrons},
author = {S. Moch and A. Vogt},
journal= {arXiv preprint arXiv:0709.3899},
year = {2008}
}
Comments
10 pages, LaTeX, 2 eps-figures