Full One-loop Electro-Weak Corrections to Three-jet Observables at the Z pole and Beyond

TL;DR

This paper calculates comprehensive one-loop electroweak corrections to three-jet observables in electron-positron collisions across a wide energy range, highlighting their significance for precise alpha_S measurements.

Contribution

It provides the first detailed analysis of full one-loop electroweak corrections, including both factorisable and non-factorisable virtual effects, for three-jet observables at various energies.

Findings

Electroweak corrections significantly affect jet rates and shapes.

Corrections are crucial for accurate alpha_S extraction.

Impact increases at higher energies, approaching TeV scales.

Abstract

We describe the impact of the full one-loop EW terms of O(alpha_s alpha_EM^3) entering the electron-positron into three-jet cross-section from \sqrt{s}=M_Z to TeV scale energies. We include both factorisable and non-factorisable virtual corrections, photon bremsstrahlung but not the real emission of W and Z bosons. Their importance for the measurement of alpha_S from jet rates and shape variables is explained qualitatively and illustrated quantitatively.