We present the first explicit formulae for the complete set of one-loop helicity amplitudes necessary for computing next-to-leading order corrections for e^+ e^- annihilation into four jets, for W, Z or Drell-Yan production in association with two jets at hadron colliders, and for three-jet production in deeply inelastic scattering experiments. We include a simpler form of the previously published amplitudes for e^+ e^- to four quarks. We obtain the amplitudes using their analytic properties to constrain their form. Systematically eliminating spurious poles from the amplitudes leads to relatively compact results.
@article{arxiv.hep-ph/9708239,
title = {One-Loop Amplitudes for e^+ e^- to Four Partons},
author = {Z. Bern and L. Dixon and D. A. Kosower},
journal= {arXiv preprint arXiv:hep-ph/9708239},
year = {2010}
}
Comments
Tex, 82 pages, Maple and Mathematica files containing the amplitudes are available from the authors