Higgs production in association with off-shell top-antitop pairs at NLO EW and QCD at the LHC

We present NLO electroweak corrections to Higgs production in association with off-shell top-antitop quark pairs. The full process $$\text{p}$$\text{p}$\to$\text{e}$^+\nu_{$\text{e}$} \mu^-\bar{\nu}_\mu$\text{b}$\bar{$\text{b}$} $\text{H}$$ is considered, and hence all interference, off-shell, and non-resonant contributions are taken into account. The electroweak corrections turn out to be below one per cent for the integrated cross section but can exceed $10\mathrm{\%}$ in certain phase-space regions. In addition to its phenomenological relevance, the computation constitutes a major technical achievement as the full NLO virtual corrections involving up to 9-point functions have been computed exactly. The results of the full computation are supported by two calculations in the double-pole approximation. These also allow to infer the effect of off-shell contributions and emphasise their importance especially for the run II of the LHC. Finally, we present combined predictions featuring both NLO electroweak and QCD corrections in a common set-up that will help the experimental collaborations in their quest of precisely measuring the aforementioned process.