Abstract
We propose quartic inflation with non-minimal gravitational coupling in the context of the classically conformal U(1)_X extension of the SM. In this model, the U(1)_X gauge symmetry is radiatively broken through the Coleman-Weinberg (CW) mechanism, by which the U(1)_X gauge boson (Z' boson) and the right-handed neutrinos (RHNs) acquire their masses. We consider their masses in the range of O(10 GeV)-O(10 TeV), which are accessible to high energy collider experiments. The radiative U(1)_X gauge symmetry breaking also generates a negative mass squared for the SM Higgs doublet, and the electroweak symmetry breaking occurs subsequently. We identify the U(1)_X Higgs field with inflaton and calculate the inflationary predictions. Due to the CW mechanism, the inflaton quartic coupling during inflation, which determines the inflationary predictions, is correlated to the U(1)_X gauge coupling. With this correlation, we investigate complementarities between the inflationary predictions and the current constraint from the Z' boson resonance search at the LHC Run-2 as well as the prospect of the search for the Z' boson and the RHNs at the future collider experiments. The radiative U(1)_X gauge symmetry breaking also generates a negative mass squared for the SM Higgs doublet, and the electroweak symmetry breaking occurs subsequently. We identify the U(1)_X Higgs field with inflaton and calculate the inflationary predictions. Due to the Coleman-Weinberg mechanism, the inflaton quartic coupling during inflation, which determines the inflationary predictions, is correlated to the U(1)_X gauge coupling. With this correlation, we investigate complementarities between the inflationary predictions and the current constraint from the Z' boson resonance search at the LHC Run-2 as well as the prospect of the search for the Z' boson and the RHNs at the future collider experiments.
Highlights
Cosmological inflation [1] provides solutions to problems in the standard big bang cosmology, such as the flatness and horizon problems, and the primordial density fluctuations which are necessary for the formation of the large scale structure observed in the present Universe
Because of the symmetry breaking via the Coleman-Weinberg mechanism, the quartic coupling of the Uð1ÞX Higgs field relates to the Uð1ÞX gauge coupling; in other words, we have a relation between the inflaton mass and the Z0 boson mass
Since the inflationary predictions are controlled by the inflaton quartic coupling in the quartic inflation with nonminimal gravitational coupling, we have a correlation between the inflationary predictions and Z0 boson physics
Summary
Cosmological inflation [1] provides solutions to problems in the standard big bang cosmology, such as the flatness and horizon problems, and the primordial density fluctuations which are necessary for the formation of the large scale structure observed in the present Universe. We consider an inflation scenario in the context of the minimal Uð1ÞX extension of the SM [the minimal Uð1ÞX model] with the conformal invariance at the classical level [8], where three generations of righthanded neutrinos and a Uð1ÞX Higgs field are introduced in addition to the SM particle content. Because of the symmetry breaking via the Coleman-Weinberg mechanism, the quartic (self-) coupling of the Uð1ÞX Higgs field relates to the Uð1ÞX gauge coupling; in other words, we have a relation between the inflaton mass and the Z0 boson mass. This paper is organized as follows: we review the basics of the quartic inflation with nonminimal gravitational coupling and the constraints on the inflationary predictions from the Planck 2015 results.
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