We extend the ARES method for next-to-next-to-leading-logarithmic (NNLL) QCD resummations to three-jet event shapes in e+e− collisions in the near-to-planar limit. In particular, we define a NNLL radiator for three hard emitters, and discuss new features of NNLL corrections arising specifically in this case. As an example, we present predictions for the D-parameter, matched to exact NLO. After inclusion of hadronisation corrections in the dispersive approach, we compare our predictions with LEP1 data.
@article{arxiv.1912.09341,
title = {Near-to-planar three-jet events at NNLL accuracy},
author = {Luke Arpino and Andrea Banfi and Basem Kamal El-Menoufi},
journal= {arXiv preprint arXiv:1912.09341},
year = {2020}
}
Comments
47 pages, 9 figures. Added references and amended acknowledgements