Complete Order alpha_s^3 Results for e^+ e^- to (gamma,Z) to Four Jets
Abstract
We present the next-to-leading order (O(alpha_s^3)) perturbative QCD predictions for e^+e^- annihilation into four jets. A previous calculation omitted the O(alpha_s^3) terms suppressed by one or more powers of 1/N_c^2, where N_c is the number of colors, and the `light-by-glue scattering' contributions. We find that all such terms are uniformly small, constituting less than 10% of the correction. For the Durham clustering algorithm, the leading and next-to-leading logarithms in the limit of small jet resolution parameter y_{cut} can be resummed. We match the resummed results to our fixed-order calculation in order to improve the small y_{cut} prediction.
Cite
@article{arxiv.hep-ph/9706285,
title = {Complete Order alpha_s^3 Results for e^+ e^- to (gamma,Z) to Four Jets},
author = {L. Dixon and A. Signer},
journal= {arXiv preprint arXiv:hep-ph/9706285},
year = {2010}
}
Comments
Latex2e, 17 pages with 5 encapsulated figures. Note added regarding subsequent related work. To appear in Phys. Rev. D