  We compute hybrid static potentials in SU(2) lattice gauge theory using a
multilevel algorithm and three different small lattice spacings. The resulting
static potentials, which are valid for quark-antiquark separations as small as
0.05 fm, are important e.g. when computing masses of heavy hybrid mesons in the
Born-Oppenheimer approximation. We also discuss and exclude possible systematic
errors from topological freezing, the finite lattice volume and glueball
decays.
