Eur. Phys. J. C (2009) 62: 355-364
https://doi.org/10.1140/epjc/s10052-009-1035-x

Regular Article - Theoretical Physics

One-loop electro-weak corrections to three-jet observables of b-quarks e ⁺ e ⁻ annihilations

¹ School of Physics and Astronomy, University of Southampton, Southampton, UK
² INFN, Sezione di Pavia, Pavia, Italy

^* e-mail: c.carloni-calame@phys.soton.ac.uk

Received: 26 January 2009
Revised: 2 April 2009
Published online: 5 May 2009

Abstract

We compute the full one-loop EW contributions of entering the electron–positron into two b-quarks and one gluon cross section at the Z peak and LC 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 α _S from jet rates and shape variables is explained qualitatively and illustrated quantitatively. Their impact on the forward–backward asymmetry is also analysed.