Cosmology of Linear Higgs-Sigma Models with Conformal Invariance

Hyun Min Lee; Adriana G. Menkara

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arXiv · 2104.10390

Cosmology of Linear Higgs-Sigma Models with Conformal Invariance

Hyun Min Lee·Adriana G. Menkara

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Abstract

We consider general linear Higgs-sigma models as ultra-violet completions of the Higgs inflation. We introduce general higher curvature terms beyond Einstein gravity and recast them into a class of linear Higgs-sigma models in the scalar-dual formulation where conformal symmetry is manifest. Integrating out the sigma field in this class of linear sigma models, we obtain the same Higgs inflation Lagrangian of non-linear sigma model type in the effective theory. We show that the successful inflation for sigma field singles out the sigma-field potential derived from the $R^2$ term and the tracker solution for dark energy at late times can be realized for the $R^{p+1}$ term with $-1<p<0$. We also discuss the implications of Higgs-sigma interactions for the inflation and the vacuum stability in the Standard Model.

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Hyun Min Lee, Adriana G. Menkara. 2021-04-21. Cosmology of Linear Higgs-Sigma Models with Conformal Invariance. https://arxiv.org/abs/2104.10390

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