Abstract
We study cosmological dynamics of a generalized Higgs inflation. By expanding the action up to the second and third order in the small perturbations, we study the primordial perturbation and its non-Gaussian distribution. We study the non-Gaussian feature in both the equilateral and orthogonal configurations. By adopting a quartic potential, we perform a numerical analysis on the model’s parameter space and compare the results with Planck2015 observational data. To obtain some observational constraint, we focus on the self-coupling and the non-minimal coupling parameters. We show that, in the presence of the non-minimal coupling and the Galileon-like interaction, the self-coupling parameter can be reduced to the order of \(10^{-6}\) which is much larger than the value that CMB normalization suggests for this self-coupling.
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Notes
Note that, in the running kinetic inflation model, rapid growth of the kinetic term at large values of inflaton field causes the potential to be flat. In fact, in paper (Nakayama and Takahashi 2008) it has been discussed that the coefficient of the kinetic term is not necessarily unity. Actually, when the inflaton rolls over a large scale in high-scale inflation model, this coefficient is not close to 1. In this regard, to cover this issue, it is appropriate to consider the general kinetic term in the action of the model.
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Acknowledgements
The work of K. Nozari has been supported financially by Research Institute for Astronomy and Astrophysics of Maragha (RIAAM) under research project number 1/4717-71.
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Nozari, K., Shafizadeh, S. & Rashidi, N. Lowering the self-coupling of the scalar field in the generalized Higgs inflation. Astrophys Space Sci 363, 135 (2018). https://doi.org/10.1007/s10509-018-3358-2
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DOI: https://doi.org/10.1007/s10509-018-3358-2