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

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.

38 pages, 31 figures. Version accepted for publication by JHEP, erratum added

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