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Inflation scenario via the Standard Model Higgs boson and LHC (0809.2104v1)

Published 11 Sep 2008 in hep-ph, gr-qc, and hep-th

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 $r\simeq 0.0006$.

Citations (380)

Summary

  • The paper demonstrates that radiative corrections crucially impact Higgs-driven inflation, altering the tree-level approximation.
  • The analysis finds that reconciling CMB observations with the model requires an elevated Higgs mass of around 230 GeV.
  • The study underscores the need for future LHC experiments and enhanced quantum correction models to validate the SM Higgs inflation scenario.

Inflation Scenario via the Standard Model Higgs Boson and the Large Hadron Collider

The presented paper critically analyzes an inflationary cosmology model using the Standard Model (SM) Higgs boson as the inflaton. This model is scrutinized in light of existing theoretical constructs and observational constraints, most notably from the CMB data and collider experiments like the LHC. The authors, Barvinsky, Kamenshchik, and Starobinsky, challenge the premise that radiative corrections are negligible for a non-minimally coupled inflaton Higgs within the tree-level approximation, as previously suggested by other studies.

Core Propositions and Analysis

The authors address the notion of realizing an inflation scenario through a SM type scalar field with strong gravitational coupling. They argue that for the accepted Higgs mass range (mH ≤ 180 GeV), the feasibility of the SM Higgs as the sole driver of inflation seems invalidated due to the underestimated impact of radiative corrections. Their core findings indicate these corrections are actually pronounced due to the large coupling constant (ξ), hence impacting the inflationary dynamics significantly.

The paper presents a cosmological model incorporating a classical Lagrangian density with the graviton-inflaton sector and high non-minimal coupling. The central argument pivots on reshaping earlier conclusions by demonstrating that for the SM to facilitate an inflationary phase, the Higgs mass needs to be elevated to approximately 230 GeV. Under such circumstances, inflation leads to a spectral index ns ≥ 0.935 and an incredibly low tensor-to-scalar perturbation ratio r ≃ 0.0006.

Theoretical Implications and Observational Corroboration

The authors provide substantial evidence suggesting that the quantum effects—previously considered negligible—are indeed potent and modulate the dynamics of inflation observable via CMB data. To reconcile the SM Higgs-driven inflation with observational data, a notable increase in the Higgs mass is necessary, warranting future experimental verification at the LHC. Moreover, these results would have implications on the tensor-to-scalar ratio, offering new insights into cosmological perturbation theories.

Discussion on Parameter Constraints

A focal point in the paper is the exploration of the parameter A, defined in terms of Higgs and vector-gauge boson couplings, which plays a pivotal role in determining the compatibility of the SM Higgs inflation model with the CMB data. Their analysis recommends that, given current observational data, the functional range for A does not overlap with its values derived from the SM, unless the Higgs mass constraint is relaxed significantly beyond the prevailing upper limit.

Conclusion and Future Trajectories

In conclusion, the authors assert that under current SM constraints, the potential of the SM Higgs as an inflaton seems theoretically implausible without stretching conventional mass bounds. This implies a tangible impact of quantum corrections on the inflationary process which precedes the standard metric. The anticipated Higgs boson discovery at LHC could potentially affirm or nullify this hypothesis. The implications transcend beyond inflaton models, hinting at broader repercussions for scalar-tensor theories in cosmological frameworks.

Outlook for Future Work

The paper suggests that further empirical examination, specifically from high-energy physics experiments like the LHC, could propel this understanding forward. Additionally, the results underscore the necessity to revise existing inflationary models in light of robust quantum field correction analysis. This signals possible shifts in future theoretical explorations and model development related to the early universe conditions.

This paper provides a cogent analysis that bridges particle physics and cosmology, challenging entrenched paradigms while inviting new avenues for empirical scrutiny and theoretical refinement.