Abstract
We assume the validity of the standard model up to an arbitrary high-energy scale anddiscuss what information on the early stages of the Universe can be extracted from ameasurement of the Higgs mass. For , the Higgs potential can develop an instability at large-field values. From the absence ofexcessive thermal Higgs field fluctuations we derive a bound on the reheat temperatureafter inflation as a function of the Higgs and top masses. Then we discuss the interplaybetween the quantum Higgs fluctuations generated during the primordial stage ofinflation and the cosmological perturbations, in the context of landscape scenariosin which the inflationary parameters scan. We show that, within the large-fieldmodels of inflation, it is highly improbable to obtain the observed cosmologicalperturbations in a Universe with a light Higgs. Moreover, independently of theinflationary model, the detection of primordial tensor perturbations through theB mode of CMB polarization and the discovery of a light Higgs can simultaneously occur onlywith exponentially small probability, unless there is new physics beyond the standardmodel.
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