  We study the stability of neutral electroweak vacua in two Higgs doublet
models, and calculate the lifetime of these states when the parameters are such
that they are false vacua. As the two Higgs doublet model is invariant under a
sign change of both doublets, degenerate true vacua exist. It is shown that
this degeneracy, despite the fact that each of these minima locally describes
the same physics, can immensely affect their lifetime. We apply these
calculations to the parameter space of the models which is allowed by recent
LHC searches, and infer combinations of parameters which should be excluded on
grounds of a tunneling time inferior to the age of the universe.

High Energy Physics - Phenomenology