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Higgs inflation in metric and Palatini formalisms: Required suppression of higher dimensional operators

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arxiv 1904.05699 v3 pith:RUXTQ4JQ submitted 2019-04-11 hep-ph astro-ph.COhep-th

Ryusuke Jinno , Mio Kubota , Kin-ya Oda , Seong Chan Park This is my paper · ORCID
classification hep-phastro-ph.COhep-th
keywords palatinidimensionalformalismhigherinflationarylambdametricnonminimal
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abstract

We investigate the sensitivity of Higgs(-like) inflation to higher dimensional operators in the nonminimal couplings and in the potential, both in the metric and Palatini formalisms. We find that, while inflationary predictions are relatively stable against the higher dimensional operators around the attractor point in the metric formalism, they are extremely sensitive in the Palatini one: for the latter, inflationary predictions are spoiled by $|\xi_4| \gtrsim 10^{-6}$ in the nonminimal couplings $(\xi_2 \phi^2 + \xi_4 \phi^4 + \cdots)R$, or by $|\lambda_6| \gtrsim 10^{-16}$ in the Jordan-frame potential $\lambda_4 \phi^4 + \lambda_6 \phi^6 + \cdots$ (both in Planck units). This extreme sensitivity results from the absence of attractor in the Palatini formalism. Our study underscores the challenge of realizing inflationary models with the nonminimal coupling in the Palatini formalism.

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Cited by 3 Pith papers

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    A Genesis-to-Starobinsky inflation model in Horndeski gravity shifts the scalar spectral index upward enough to bring Starobinsky inflation into agreement with ACT CMB data.

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    astro-ph.CO 2024-11 conditional novelty 4.0 of 10

    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.

  3. Quadratic, Higgs and hilltop potentials in the Palatini gravity

    astro-ph.CO 2019-08 conditional novelty 4.0 of 10

    In Palatini gravity, quadratic inflation matches CMB data only for small nonminimal coupling and efficient reheating, while hilltop potentials match only below the vacuum expectation value with tiny coupling.

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