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The measurements of the Higgs boson and top quark masses can be used toextrapolate the Standard Model Higgs potential at energies up to the Planckscale. Adopting a NNLO renormalization procedure, we: i) find that electroweakvacuum stability is at present allowed, discuss the associated theoretical andexperimental errors and the prospects for its future tests; ii) determine theboundary conditions allowing for the existence of a shallow false minimumslightly below the Planck scale, which is a stable configuration that mighthave been relevant for primordial inflation; iii) derive a conservative upperbound on type I seesaw right-handed neutrino masses, following from therequirement of electroweak vacuum stability.

Higgs boson and Top quark masses as tests of Electroweak Vacuum Stability