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Logarithmic electroweak corrections to e+ e- -> nue anti-nue W+ W-

We consider W-boson scattering at high-energy e+ e- colliders and study one-loop logarithmic electroweak corrections within the Standard Model assuming a light Higgs boson. We present explicit analytical results for W+ W- -> W+ W-. Using the equivalent vector-boson approximation, we have implemented these corrections into a Monte Carlo program for the process e+ e- -> nue anti-nue W+ W-. The quality of the equivalent vector-boson approximation and of the logarithmic high-energy approximation for the electroweak corrections is discussed in detail. The impact of the radiative effects is quantitatively analysed. The corrections are negative and their size, typically of the order of 10%, increases with energy reaching up to -20% and -50% at the ILC and CLIC, respectively.