Electroweak corrections to three-jet production in e+e− annihilation

We compute the electroweak O(α3αs) corrections to three-jet production and related event-shape observables at electron-positron colliders. We properly account for the experimental photon isolation criteria and for the corrections to the total hadronic cross section. Corrections to the three-jet rate and to normalised event-shape distributions turn out to be at the few-percent level.