Probing anomalous Higgs boson couplings in Higgs plus jet production at NLO QCD with full $m_t$-dependence

We present NLO QCD results for Higgs boson production in association with one jet, including anomalous Higgs-top and effective Higgs-gluon couplings within non-linear Effective Field Theory (HEFT), as well as the full top quark mass dependence. We provide differential results for the Higgs boson transverse momentum spectrum at $\sqrt{s}=13.6$ TeV and discuss the effects of the anomalous couplings.