Abstract
Higgs inflation can occur if the Standard Model (SM) is a self-consistent effective field theory up to inflationary scale. This leads to an upper bound on the top Yukawa coupling, ytphys<ytcrit and thus on the mass of the top quark mt. If mt is more than a few hundred of MeV below the critical value, the Higgs inflation predicts the universal values of inflationary indexes, r≃0.003 and ns≃0.97, independently on the SM parameters. We show that in the vicinity of the critical point ytcrit the inflationary indexes acquire an essential dependence on mt and on the mass of the Higgs boson Mh. In particular, the amplitude of the gravitational waves can exceed considerably the universal value.
Highlights
The most economic inflationary scenario is based on the identification of the inflaton with the Standard Model (SM) Higgs boson [1] and the use of the idea of chaotic initial conditions [2]
The aim of the present paper is to study the behaviour of the inflationary indexes close to the critical point
The Higgs inflation for Mh > Mcrit is a predictive theory for cosmology, as the values of the inflationary indexes are practically independent of the SM parameters
Summary
The most economic inflationary scenario is based on the identification of the inflaton with the SM Higgs boson [1] and the use of the idea of chaotic initial conditions [2]. If radiative corrections are ignored, the successful inflation occurs√for any values of the SM parameters provided ξ 47000 λ, where λ is the Higgs boson self-coupling. This condition comes from the requirement to have the amplitude of the scalar perturbations measured by the COBE satellite. In [6, 9] we formulated the natural subtraction procedure (called “prescription I”) which uses the field independent subtraction point in the Einstein frame (leading to scale-invariant quantum theory in the Jordan frame for large Higgs backgrounds) and computed ns and r for the Higgs masses that exceeded Mcrit by just a small amount of few hundreds of MeV2.
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