NLO QCD corrections to off-shell $\text{t}\bar{\text{t}}{\text{W}}^{+}$ production at the LHC

Abstract

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 ${\text{W}}^{+}$ boson in proton--proton collisions. As the calculation is based on the full matrix elements for the process $\text{p}\text{p}\to {\text{e}}^{+}{\nu }_{\text{e}}{\mu }^{-}{\bar{\nu }}_{\mu }{\tau }^{+}{\nu }_{\tau }\text{b}\bar{\text{b}}$, 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.

30 pages, 16 figures, updated references, fixed typos, added results for an additional central scale choice, extended comments on double-pole-approximation, clarified treatment of top width, matches version published by JHEP

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