Electroweak corrections to hadronic event shapes and jet production in e+e- annihilation

Abstract

We present a complete calculation of the electroweak O(alpha^3 alpha_s) corrections to three-jet production and related event-shape observables at electron--positron colliders. The Z-boson resonance is described within the complex-mass scheme, rendering the calculation valid both in the resonance and off-shell regions. Higher-order initial-state radiation is included in the leading-logarithmic approximation. We properly account for the corrections to the total hadronic cross section and for the experimental photon isolation criteria. To this end we implement contributions of the quark-to-photon fragmentation function both in the slicing and subtraction formalism. The effects of the electroweak corrections on various event-shape distributions and on the three-jet rate are studied. They are typically at the few-per-cent level, and remnants of the radiative return are found even after inclusion of appropriate cuts.

47 pages, 20 figures

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• NNLO corrections to 3-jet observables in electron-positron annihilation
• Second-order QCD corrections to the thrust distribution
• Event shapes and jet rates in electron-positron annihilation at NNLO
• Jet rates in electron-positron annihilation at O(α_s^3) in QCD
• Infrared structure of e+e- --> 3 jets at NNLO
• Experimental Tests of Asymptotic Freedom
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• First determination of the strong coupling constant using NNLO predictions for hadronic event shapes in e^+e^- annihilations
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• Hadronization effects in event shape moments
• Precise determination of the strong coupling constant at NNLO in QCD from the three-jet rate in electron--positron annihilation at LEP
• Non-Perturbative Contribution to the Thrust Distribution in $e^{+}{e}^{-}$ Annihilation
• The infrared structure of e+ e- --> 3 jets at NNLO reloaded
• Moments of event shapes in electron-positron annihilation at NNLO
• Matching NLLA+NNLO for event shape distributions
• NNLO corrections to 2-jet observables in electron-positron annihilation
• Measuring the Photon Fragmentation Function at HERA
• Electroweak corrections to three-jet production in electron-positron annihilation
• Full One-loop Electro-Weak Corrections to Three-jet Observables at the Z pole and Beyond
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