Full NLO corrections to 3-jet production and mathbf {R_{32}} at the LHC

Max Reyer,Steffen Schumann,Marek Schönherr

doi:10.1140/epjc/s10052-019-6815-3

Abstract

We present the evaluation of the complete set of NLO corrections to three-jet production at the LHC. To this end we consider all contributions of mathcal{{O}}(alpha _s^nalpha ^m) with n+m=3 and n+m=4. This includes in particular also subleading Born contributions of electroweak origin, as well as electroweak virtual and QED real-radiative corrections. As an application we present results for the three- over two-jet ratio R_{32}. While the impact of non-QCD corrections on the total cross section is rather small, they can exceed -10% for high jet transverse momenta. The R_{32} observable turns out to be very stable against electroweak corrections, receiving absolute corrections below 5% even in the high-p_T region.

Highlights

Jet-production processes make up the most abundant final states in hadron–hadron collisions, as carried out at the Large Hadron Collider (LHC)
We present the evaluation of the complete set of next-to-leading order (NLO) corrections to three-jet production at the LHC
While the latter represents a novel result from our full NLO three-jet calculation, the first is obtained from a dijet computation with identical parameter settings, scale choices and parton density functions (PDFs)

Summary

Introduction

Jet-production processes make up the most abundant final states in hadron–hadron collisions, as carried out at the Large Hadron Collider (LHC). For hadro-production the next-to-leading order (NLO) QCD corrections are known to up to five-jet final states [1–5]. A first evaluation of the full set of NLO corrections, of QCD and EW origin, for the three-jet inclusive cross section has been quoted in [11].

Results

Conclusion