Nonminimally-coupled warm Higgs inflation: Metric vs. Palatini Formulations

Abstract

In this work, we study the non-minimally-coupled Higgs model in the context of warm inflation scenario on both metric and Palatini approaches. We particularly consider a dissipation parameter of the form $\Gamma =C_{T}T$ with $C_T$ being a coupling parameter and focus only on the strong regime of the interaction between inflaton and radiation fluid. We compute all relevant cosmological parameters and constrain the models using the observational Planck 2018 data. We discover that the $n_s$ and $r$ values are consistent with the observational bounds. Having used the observational data, we constrain a relation between $\xi$ and $\lambda$ for the non-minimally-coupled warm Higgs inflation in both metric and Palatini cases. To produce $n_s$ and $r$ in agreement with observation, we find that their values are two orders of magnitude higher than those of the usual (cold) non-minimally-coupled Higgs inflation.

arXiv commentv2: 18 pages, many figures. version accepted for publication in Nuclear Physics Section B. arXiv admin note: text overlap with arXiv:1812.03107, arXiv:2110.03925 by other authors

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• Inflation in Myrzakulov $F(R,T)$ Gravity: A Comparative Study in Metric, Symmetric Teleparallel, and Weitzenböck Formalisms
• Primordial non-Gaussianity in noncanonical warm inflation with nonminimal derivative coupling
• Dynamics of potential-free warm $\mathbf{k}$-inflation with nonminimal derivative coupling