  Precise predictions for Higgs production via vector-boson fusion play an
important role when testing the properties of the Higgs boson and probing
new-physics effects. While the inclusive cross section changes little when
including NNLO and N3LO QCD corrections, a differential NNLO calculation with
typical VBF cuts shows large corrections of up to 10% in distributions.
  In this article, we investigate the dependence of the differential NNLO QCD
calculation on the jet definition. Starting from the known results at a fixed
jet clustering choice, we use the electroweak H+3 jets production cross section
at NLO precision to derive NNLO results for H+2 jets production for other jet
definitions. We find that larger clustering radii significantly reduce the
impact of NNLO corrections. The sizable NNLO corrections for distributions are
largely caused by the broader energy flow inside jets at NNLO and are to be
expected generally for processes with jets at LO.
