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A bstract We present results of a computation of NLO QCD corrections to the production of an off-shell top-antitop pair in association with an off-shell W + boson in proton-proton collisions. As the calculation is based on the full matrix elements for the process pp→ e⁺vₑμ⁻v̄μτ⁺vτbb̄ pp → e + v e μ − v ¯ μ τ + v τ b b ¯ , all off-shell, spin-correlation, and interference effects are included. The NLO QCD corrections are about 20% for the integrated cross-section. Using a dynamical scale, the corrections to most distributions are at the same level, while some distributions show much larger K -factors in suppressed regions of phase space. We have performed a second calculation based on a double-pole approximation. While the corresponding results agree with the full calculation within few per cent for integrated cross-sections, the discrepancy can reach 10% and more in regions of phase space that are not dominated by top-antitop production. As a consequence, on-shell calculations should only be trusted to this level of accuracy.
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