On the cosmological implications of the electroweak vacuum instability:
  constraining the non-minimal coupling with inflation
  Our current measurements of the Standard Model parameters imply that the
Higgs field resides in a metastable electroweak vacuum, where the vacuum can
decay to a lower ground state, with cataclysmic repercussions for our Universe.
According to our observations, no such event has happened in the observable
universe, in spite of the various energetic processes that could have triggered
it. This work serves as an overview of a method that uses the metastability of
the false vacuum during cosmological inflation to provide constraints on the
Higgs curvature coupling $\xi$. Considering also the effects of the
time-dependent Hubble rate on the effective Higgs potential and on our past
light-cone space-time geometry, results in state-of-the-art lower $\xi$-bounds
from quadratic and quartic chaotic inflation, and Starobinsky-like power-law
inflation.
