Electroweak corrections to three-jet production in electron-positron annihilation

Abstract

We compute the electroweak $\mathcal{O}({\alpha }^3{\alpha }_s)$ 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-per-cent level.

Comments: 5 pages, 4 figures. v2: changed normalisation in Fig. 2, minor text revisions, version to appear in Phys.Lett. B