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

TL;DR

This paper extends NNLL QCD resummation techniques to three-jet event shapes in electron-positron collisions, providing improved theoretical predictions and comparing them with experimental data.

Contribution

It introduces a NNLL radiator for three hard emitters and discusses new NNLL correction features specific to three-jet events.

Findings

Predictions for the D-parameter matched to NLO

Comparison with LEP1 data shows good agreement after hadronisation corrections

Enhanced understanding of NNLL corrections in three-jet configurations

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.