Preprint number: CP3-Origins-2011-46 and DIAS-2011-41
For a narrow band of values of the top quark and Higgs boson masses, the Standard Model Higgs potential develops a false minimum at energies of about 1016 GeV, where primordial Inflation could have happened. A graceful exit to a radiation dominated era is provided e.g. by scalar-tensor gravity models. We pointed out that if Inflation happened in this false minimum, the Higgs boson mass has to be in the range 126.0 ±3.5 GeV, where ATLAS and CMS subsequently reported excesses of events. Here we show that for these values of the Higgs mass, the inflationary gravitational wave background has be discovered with a tensor-to-scalar ratio at hand of future experiments. We suggest that combining cosmological observations with measurements of the top and Higgs masses represents a further test of the hypothesis that the Standard Model false minimum was the source of Inflation in the Universe.