Full NLO corrections to 3-jet production and R₃₂ R 32 at the LHC

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 O(α ₛⁿα 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 R₃₂ . 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 R₃₂ observable turns out to be very stable against electroweak corrections, receiving absolute corrections below $$5%$$ even in the high- pT region.