  We present theoretical predictions for the production of top-quark pairs in
association with jets at the LHC including electroweak (EW) corrections. First,
we present and compare differential predictions at the fixed-order level for $t
\bar t$ and $t \bar t+$jet production at the LHC considering the dominant NLO
EW corrections of order $\mathcal{O}(\alpha_S^2 \alpha)$ and
$\mathcal{O}(\alpha_S^3 \alpha)$ respectively together with all additional
subleading Born and one-loop contributions. The NLO EW corrections are enhanced
at large energies and in particular alter the shape of the top transverse
momentum distribution, whose reliable modelling is crucial for many searches
for new physics at the energy frontier. Based on the fixed-order results we
motivate an approximation of the EW corrections valid at the percent level,
that allows us to readily incorporate the EW corrections in the MEPS@NLO
framework of Sherpa combined with OpenLoops. Subsequently, we present multi-jet
merged parton-level predictions for inclusive top-pair production incorporating
NLO QCD+EW corrections to $t \bar t$ and $t \bar t+$jet. Finally, we compare at
the particle-level against a recent 8 TeV measurement of the top transverse
momentum distribution performed by ATLAS in the lepton+jet channel. We find
very good agreement between the Monte Carlo prediction and the data when the EW
corrections are included.
