Higgs inflation at the critical point

Fedor Bezrukov; Mikhail Shaposhnikov

doi:10.1016/j.physletb.2014.05.074

paper

Higgs inflation at the critical point

arXiv:1403.6078 · doi:10.1016/j.physletb.2014.05.074

Abstract

Higgs inflation can occur if the Standard Model (SM) is a self-consistent effective field theory up to inflationary scale. This leads to a lower bound on the Higgs boson mass, $M_{h} \geq M_{crit}$ . If $M_{h}$ is more than a few hundreds of MeV above the critical value, the Higgs inflation predicts the universal values of inflationary indexes, $r ≃ 0.003$ and $n_{s} ≃ 0.97$ , independently on the Standard Model parameters. We show that in the vicinity of the critical point $M_{crit}$ the inflationary indexes acquire an essential dependence on the mass of the top quark $m_{t}$ and $M_{h}$ . In particular, the amplitude of the gravitational waves can exceed considerably the universal value.

Improved analysis taking into account one-loop terms in the effective potential. Sign error in the formula for the running of the spectral index corrected. Discussion of the relation between the particle physics and inflationary parameters added

Higgs inflation at the critical point

Abstract

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