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

摘要

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.