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Minimal Higgs inflation with an $R^2$ term in Palatini gravity
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abstract
It has recently been suggested that the Standard Model Higgs boson could act as the inflaton while minimally coupled to gravity - given that the gravity sector is extended with an $\alpha R^2$ term and the underlying theory of gravity is of Palatini, rather than metric, type. In this paper, we revisit the idea and correct some shortcomings in earlier studies. We find that in this setup the Higgs can indeed act as the inflaton and that the tree-level predictions of the model for the spectral index and the tensor-to-scalar ratio are $n_s\simeq 0.941$, $r\simeq 0.3/(1+10^{-8}\alpha)$, respectively, for a typical number of e-folds, $N=50$, between horizon exit of the pivot scale $k=0.05\, {\rm Mpc}^{-1}$ and the end of inflation. Even though the tensor-to-scalar ratio is suppressed compared to the usual minimally coupled case and can be made compatible with data for large enough $\alpha$, the result for $n_s$ is in severe tension with the Planck results. We briefly discuss extensions of the model.
Forward citations
Cited by 4 Pith papers
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A new class of metric-affine inflationary models, the ξ-tilde-attractors, reproduces Starobinsky inflation as a universal attractor in two strong-coupling limits.
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Constant-roll $\beta$-exponential inflation: Palatini formalism
A parameter scan of constant-roll β-exponential inflation in Palatini R² gravity claims agreement with ACT/Planck contours, but the derivation is undermined by algebraic sign errors and an absent non-Gaussianity calculation.
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Large Field Polynomial Inflation in Palatini $f(R,\phi)$ Gravity
Large-field polynomial inflation in Palatini f(R, phi) gravity can match Planck and BICEP/Keck data over broad parameter regions, and a negative R-squared coupling can suppress the tensor-to-scalar ratio to CMB-S4 levels.
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