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arXiv · 1912.09341

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

Luke Arpino·Andrea Banfi·Basem Kamal El-Menoufi
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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.

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Luke Arpino, Andrea Banfi, Basem Kamal El-Menoufi. 2019-12-19. Near-to-planar three-jet events at NNLL accuracy. https://doi.org/10.1007/jhep07(2020)171

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