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arXiv · 1712.04237

Hybrid Higgs Inflation: The Use of Disformal Transformation

Seiga Sato·Kei-ichi Maeda
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Abstract

We propose a hybrid type of the conventional Higgs inflation and new Higgs inflation models. We perform a disformal transformation into the Einstein frame and analyze the background dynamics and the cosmological perturbations in the truncated model, in which we ignore the higher-derivative terms of the Higgs field. From the observed power spectrum of the density perturbations, we obtain the constraint on the non-minimal coupling constant $\xi$ and the mass parameter $M$ in the derivative coupling. Although the primordial tilt $n_s$ in the hybrid model barely changes, the tensor-to-scalar ratio $r$ moves from the value in new Higgs inflationary model to that in the conventional Higgs inflationary model as $|\xi|$ increases. We confirm our results by numerical analysis by ADM formalism of the full theory in the Jordan frame.

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Seiga Sato, Kei-ichi Maeda. 2017-12-12. Hybrid Higgs Inflation: The Use of Disformal Transformation. https://doi.org/10.1103/physrevd.97.083512

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