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K. Kamada, T. Kobayashi, T. Takahashi, M. Yamaguchi, and J. Yokoyama, “Generalized Higgs inflation,” Phys. Rev
Original
2012
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F. Bezrukov, “The Higgs field as an inflaton,” Class. Quant. Grav
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Then

S. Nojiri, S. D. Odintsov, and V. K. Oikonomou, “Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution,” Phys. Rept
Original
2017
Later among the works it cites.
T. Mori, K. Kohri, and J. White, “Multi-field effects in a simple extension of R 2 R^{2} inflation,” JCAP
Original
2017
Later among the works it cites.
Y. Ema, “Higgs Scalaron Mixed Inflation,” Phys. Lett
Original
2017
Later among the works it cites.
Y.-C. Wang and T. Wang, “Primordial perturbations generated by Higgs field and R 2 R^{2} operator,” Phys. Rev
Original
2017
Later among the works it cites.
A. Racioppi, “Coleman-Weinberg linear inflation: metric vs. Palatini formulation,” JCAP

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2018

Palatini inflation in models with an $R^2$ term

Antoniadis, I., Karam, A., Lykkas, A. et al.

Understand

The Starobinsky model, considered in the framework of the Palatini formalism, in contrast to the metric formulation, does not provide us with a model for inflation, due to the absence of a propagating scalar degree of freedom that can play the role of the inflaton.

In the present article we study the Palatini formulation of the Starobinsky model coupled, in general nonminimally, to scalar fields and analyze its inflationary behavior.
We consider scalars, minimally or nonminimally coupled to the Starobinsky model, such as a quadratic model, the induced gravity model or the standard Higgs-like inflation model and analyze the corresponding modifications favorable to inflation.
In addition we examine the case of a classically scale-invariant model driven by the Coleman-Weinberg mechanism.