Inflation from the Higgs field false vacuum with hybrid potential

TL;DR

This paper proposes a hybrid inflation model involving the Higgs field's false vacuum, predicting specific ranges for the Higgs mass, tensor-to-scalar ratio, and spectral index, with implications for early universe cosmology.

Contribution

It introduces an alternative hybrid inflation scenario with a weakly coupled scalar, refining predictions on Higgs mass and cosmological parameters compared to previous models.

Findings

Predicts Higgs mass in 124-125.3 GeV range.

Tensor-to-scalar ratio constrained between 10^{-4} and 0.007.

Compatible scalar spectral index with observations.

Abstract

We have recently suggested [1,2] that Inflation could have started in a local minimum of the Higgs potential at field values of about $10^{15}-10^{17}$ GeV, which exists for a narrow band of values of the top quark and Higgs masses and thus gives rise to a prediction on the Higgs mass to be in the range 123-129 GeV, together with a prediction on the the top mass and the cosmological tensor-to-scalar ratio $r$. Inflation can be achieved provided there is an additional degree of freedom which allows the transition to a radiation era. In [1] we had proposed such field to be a Brans-Dicke scalar. Here we present an alternative possibility with an additional subdominant scalar very weakly coupled to the Higgs, realizing an (inverted) hybrid Inflation scenario. Interestingly, we show that such model has an additional constraint $m_H<125.3 \pm 3_{th}$, where $3_{th}$ is the present theoretical uncertainty on the Standard Model RGEs. The tensor-to-scalar ratio has to be within the narrow range $10^{-4}\lesssim r<0.007$, and values of the scalar spectral index compatible with the observed range can be obtained. Moreover, if we impose the model to have subplanckian field excursion, this selects a narrower range $10^{-4} \lesssim r<0.001$ and an upper bound on the Higgs mass of about $m_H <124 \pm 3_{th}$.