  We elaborate on the idea that five-dimensional models where sequestering is
spoiled due to contact interactions induced by vector multiplets may still be
mildly sequestered if a global version of the gauge symmetry associated to the
latter survives in the hidden sector. Interestingly, it has been argued that
although in such a situation non-trivial current-current contact interactions
are induced by the heavy vector modes, these do not induce soft scalar masses,
as a consequence of the global symmetry. We perform a detailed study of how
this hybrid mechanism can be implemented in supergravity and string models,
focusing on the prototypical case of heterotic M-theory orbifolds. We emphasize
that in general the mechanism works only up to subleading effects suppressed by
the ratio between the global symmetry breaking scale in the hidden sector and
the vector mass scale or the Planck scale. We also argue that this mild
sequestering mechanism allows to rehabilitate the scenario of dilaton
domination of supersymmetry breaking, which is incompatible with dilaton
stabilization in its original version, by exploiting the fact that hidden brane
fields do contribute to the cosmological constant but not to soft terms, thanks
to the global symmetry.
