Cosmological stochastic Higgs stabilization
  We show that the stochastic evolution of an interacting system of the Higgs
and a spectator scalar field naturally gives rise to an enhanced probability of
settling down at the electroweak vacuum at the end of inflation. Subsequent
destabilization due to parametric resonance between the Higgs and the spectator
field can be avoided in a wide parameter range. We further argue that the
spectator field can play the role of dark matter.
