Higgs boson and Top quark masses as tests of Electroweak Vacuum
  Stability
  The measurements of the Higgs boson and top quark masses can be used to
extrapolate the Standard Model Higgs potential at energies up to the Planck
scale. Adopting a NNLO renormalization procedure, we: i) find that electroweak
vacuum stability is at present allowed, discuss the associated theoretical and
experimental errors and the prospects for its future tests; ii) determine the
boundary conditions allowing for the existence of a shallow false minimum
slightly below the Planck scale, which is a stable configuration that might
have been relevant for primordial inflation; iii) derive a conservative upper
bound on type I seesaw right-handed neutrino masses, following from the
requirement of electroweak vacuum stability.
