Wpair production ine+e−annihilation: Radiative corrections including hard bremsstrahlung

A calculation of the hard bremsstrahlung process $e^{+}{e}^{-}\to W^{+}{W}^{-}\gamma$ is presented and combined with previous results for the electroweak radiative corrections to $e^{+}{e}^{-}\to W^{+}{W}^{-}$ (including soft bremsstrahlung). The phase space integrations are performed by the Monte Carlo method which allows one to apply cuts in the photon phase space. Results are given for the total cross section (no cuts) as well as for cuts in the photon energy and the angle between the photon momentum and the beam axis. The full $O\left(\alpha \right)$ calculation is improved by including the known leading logarithmic $O\left({\alpha }^2\right)$ contributions. The dependence of the results on the renormalization scheme ($\alpha$ and $G_{\mu }$ scheme) is investigated.