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Inflation scenario via the Standard Model Higgs boson and LHC

A. O. Barvinsky, A. Yu. Kamenshchik, A. A. Starobinsky

TL;DR

The work assesses the possibility of Higgs-driven inflation with a large non-minimal coupling to gravity, showing that radiative corrections controlled by the anomalous scaling A significantly alter the inflationary dynamics. By deriving the Jordan-frame effective action and computing the resulting slow-roll parameters and perturbation spectra, the authors connect CMB observables to the heavy particle spectrum coupled to the inflaton. They find that current Standard Model Higgs mass bounds (m_H ≈ 180 GeV) rule out Higgs-driven inflation, while a heavier Higgs around 230 GeV could produce n_s ≈ 0.935 and an extremely small r ≈ 0.0006. The viability of the scenario thus hinges on future Higgs measurements and LHC results, which would either falsify or, in a heavier-Higgs case, resurrect this inflationary mechanism.

Abstract

We consider a quantum corrected inflation scenario driven by a generic GUT or Standard Model type particle model whose scalar field playing the role of an inflaton has a strong non-minimal coupling to gravity. We show that currently widely accepted bounds on the Higgs mass falsify the suggestion of the paper arXiv:0710.3755 (where the role of radiative corrections was underestimated) that the Standard Model Higgs boson can serve as the inflaton. However, if the Higgs mass could be raised to $\sim 230$ GeV, then the Standard Model could generate an inflationary scenario with the spectral index of the primordial perturbation spectrum $n_s\simeq 0.935$ (barely matching present observational data) and the very low tensor-to-scalar perturbation ratio $r\simeq 0.0006$.

Inflation scenario via the Standard Model Higgs boson and LHC

TL;DR

The work assesses the possibility of Higgs-driven inflation with a large non-minimal coupling to gravity, showing that radiative corrections controlled by the anomalous scaling A significantly alter the inflationary dynamics. By deriving the Jordan-frame effective action and computing the resulting slow-roll parameters and perturbation spectra, the authors connect CMB observables to the heavy particle spectrum coupled to the inflaton. They find that current Standard Model Higgs mass bounds (m_H ≈ 180 GeV) rule out Higgs-driven inflation, while a heavier Higgs around 230 GeV could produce n_s ≈ 0.935 and an extremely small r ≈ 0.0006. The viability of the scenario thus hinges on future Higgs measurements and LHC results, which would either falsify or, in a heavier-Higgs case, resurrect this inflationary mechanism.

Abstract

We consider a quantum corrected inflation scenario driven by a generic GUT or Standard Model type particle model whose scalar field playing the role of an inflaton has a strong non-minimal coupling to gravity. We show that currently widely accepted bounds on the Higgs mass falsify the suggestion of the paper arXiv:0710.3755 (where the role of radiative corrections was underestimated) that the Standard Model Higgs boson can serve as the inflaton. However, if the Higgs mass could be raised to GeV, then the Standard Model could generate an inflationary scenario with the spectral index of the primordial perturbation spectrum (barely matching present observational data) and the very low tensor-to-scalar perturbation ratio .

Paper Structure

This paper contains 6 sections, 37 equations.