  We present next-to-leading order (NLO) predictions including QCD and
electroweak (EW) corrections for the production and decay of off-shell
electroweak vector bosons in association with up to two jets at the 13 TeV LHC.
All possible dilepton final states with zero, one or two charged leptons that
can arise from off-shell W and Z bosons or photons are considered. All
predictions are obtained using the automated implementation of NLO QCD+EW
corrections in the OpenLoops matrix-element generator combined with the Munich
and Sherpa Monte Carlo frameworks. Electroweak corrections play an especially
important role in the context of BSM searches, due to the presence of large EW
Sudakov logarithms at the TeV scale. In this kinematic regime, important
observables such as the jet transverse momentum or the total transverse energy
are strongly sensitive to multijet emissions. As a result, fixed-order NLO
QCD+EW predictions are plagued by huge QCD corrections and poor theoretical
precision. To remedy this problem we present an approximate method that allows
for a simple and reliable implementation of NLO EW corrections in the MEPS@NLO
multijet merging framework. Using this general approach we present an inclusive
simulation of vector-boson production in association with jets that guarantees
NLO QCD+EW accuracy in all phase space regions involving up to two resolved
jets.
