  We discuss the non-factorizable corrections to Higgs boson production in weak
boson fusion at the Large Hadron Collider. Such corrections depend on the
finite part of the two-loop virtual amplitude $q \, Q \rightarrow q^\prime \,
Q^\prime + H$ which, up to now, has only been computed in the eikonal
approximation. We combine this contribution with real-virtual and double-real
non-factorizable QCD corrections and study their impact on the various
observables in weak boson fusion. We find that the non-factorizable corrections
are strongly dominated by the two-loop virtual contributions, while all other
contributions play a very minor role. This striking imbalance between real and
virtual contributions is caused by a process-specific kinematic suppression of
the former and a particular enhancement of the virtual corrections related to a
Glauber phase.
