Near-to-planar three-jet events at NNLL accuracy

Luke Arpino; Andrea Banfi; Basem Kamal El-Menoufi

doi:10.1007/JHEP07(2020)171

paper

Near-to-planar three-jet events at NNLL accuracy

arXiv:1912.09341 · doi:10.1007/JHEP07(2020)171

Abstract

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.

47 pages, 9 figures. Added references and amended acknowledgements