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Theoretical aspects of W-pair production in e+e- collisions

Stefan Dittmaier
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Abstract

The most interesting theoretical features of W-pair production in e+e- collisions are reviewed. Based on an analysis of on-shell W-pairs, it is shown that the mere inclusion of leading $O(α)$ corrections--such as initial-state radiation, effects from the universal quantities $Δα$ and $Δr$, and the Coulomb singularity--cannot be expected to approximate the $O(α)$-corrected cross-section of $e^+e^-\to W^+W^-\to 4f$ to better than 1-2% for LEP2 energies. The importance of the gauge-invariance problem, arising from the introduction of finite decay widths, is discussed. The simplest consistent method to include $O(α)$ corrections at least to the doubly resonant contributions, viz. a pole expansion around the double resonance, is also briefly described.

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Stefan Dittmaier. 1996-10-29. Theoretical aspects of W-pair production in e+e- collisions. https://arxiv.org/abs/hep-ph/9610529

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