Weak Corrections to Three-Jet Production in Electron-Positron Annihilations: 1) The Factorisable Contributions

Abstract

We report on the calculation of the factorisable one-loop weak-interaction corrections to the initial and final states for three-jet observables in electron-positron annihilations. We show that such corrections are of a few percent at $\sqrt{s}=M_Z$. Hence, while their impact is not dramatic in the context of LEP1 and SLC, where the total error on the measured value of ${\alpha }_{\mathrm{S}}$ is larger, at a future Linear Collider, running at the $Z$ mass peak (e.g., GigaZ), they ought to be taken into account in the experimental fits, as here the uncertainty on the value of the strong coupling constant is expected to be at the 0.1% level or even smaller. The calculation has been performed using helicity amplitudes so that it can be applied to the case of polarised beams.

22 pages, latex, 7 figures (substantial revisions, version to be published in JHEP)

References in corpus (4)

• Two-Loop QCD Helicity Amplitudes for $e^{+}{e}^{-}\to 3$~Jets
• The Two-Loop QCD Matrix Element for $e^{+}{e}^{-}\to 3$ Jets
• Electroweak two-loop Sudakov logarithms for on-shell fermions and bosons
• Measurements of ${\alpha }_s$ from event shapes and the four-jet rate

Cited by in corpus (11)

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• One-loop weak corrections to $\gamma /Z$ hadro-production at finite transverse momentum
• Full One-loop Electro-Weak Corrections to Three-jet Observables at the Z pole and Beyond
• Realistic Hybrid Inflation in 5D Orbifold SO(10) GUT
• Radiative Corrections to the Azimuthal Asymmetry in Transversely Polarized Moller Scattering
• Weak effects in proton beam asymmetries at polarised RHIC and beyond
• One-loop Electro-Weak Corrections to Three-jet Observables of b-quarks in e+e- Annihilations
• Electroweak radiative corrections to hadronic precision observables at TeV energies