Full NLO corrections to 3-jet production and $$\mathbf {R_{32}}$$ R32 at the LHC

Abstract

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 $$\mathcal{{O}}(\alpha _s^n\alpha ^m)$$ O(αsnαm) with $$n+m=3$$ n+m=3 and $$n+m=4$$ 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 $$R_{32}$$ R32 . While the impact of non-QCD corrections on the total cross section is rather small, they can exceed $$-10\%$$ -10% for high jet transverse momenta. The $$R_{32}$$ R32 observable turns out to be very stable against electroweak corrections, receiving absolute corrections below $$5\%$$ 5% even in the high-$$p_T$$ pT region.