We compute the form factors of the photon-quark-anti-quark vertex and the effective vertex of a Higgs boson and two gluons to three-loop order within massless perturbative Quantum Chromodynamics. These results provide building blocks for many third-order cross sections. Furthermore, this is the first calculation of complete three-loop vertex corrections.
@article{arxiv.0902.3519,
title = {Quark and gluon form factors to three loops},
author = {P. A. Baikov and K. G. Chetyrkin and A. V. Smirnov and V. A. Smirnov and M. Steinhauser},
journal= {arXiv preprint arXiv:0902.3519},
year = {2009}
}