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

Abstract

We compute the electroweak ${\cal O}(α^3α_s)$ 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.

Figures (4)

• Figure 1: Total hadronic cross section $\sigma_{\mathrm{had}}\left(\sqrt{s}\right)$.
• Figure 2: Differential thrust distribution at $\sqrt{s}=M_{\mathrm{Z}}$.
• Figure 3: Differential thrust distribution at $\sqrt{s}=M_{\mathrm{Z}}$ normalised to $\sigma_{\mathrm{had}}$.
• Figure 4: Three-jet rate at $\sqrt{s}=M\mathrm{Z}$M_Z$$ normalised to $\sigma_{\mathrm{had}}$.