Hybrid static potentials and gluelumps on $N_f=3+1$ ensembles

QCD permits the existence of hybrid mesons that are made up of both quarks and gluons, including exotic states, i.e., quantum numbers prohibited for pure quark-antiquark states, with possible candidates found in experiments. We present static hybrid potentials measured via Laplace trial states together with static-light meson thresholds on $N_f=3+1$ dynamical fermion ensembles with 420 MeV pions. Furthermore, we measure corresponding gluelump masses which refer to the $R\to 0$ limit of the hybrid potentials and are essential input parameters for effective models to describe hybrid mesons.