Abstract

The complete electroweak O ( α ) corrections have been calculated for the charged-current four-fermion production processes e + e − → ν τ τ + μ − ν ¯ μ , u d ¯ μ − ν ¯ μ , and u d ¯ s c ¯ . Here, technical details of this calculation are presented. These include the algebraic reduction of spinor chains to a few standard structures and the consistent implementation of the finite width of the W boson. To this end, a generalization of the complex-mass scheme to the one-loop level is proposed, and the practical application of this method is described. Finally, the effects of the complete O ( α ) corrections to various differential cross sections of physical interest are discussed and compared to predictions based on the double-pole approximation, revealing that the latter approximation is not sufficient to fully exploit the potential of a future linear collider in an analysis of W-boson pairs at high energies.

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