Higgs Inflation with a Gauss-Bonnet term in the Jordan Frame

Abstract

We consider an extension of Higgs inflation in which the Higgs field is coupled to the Gauss-Bonnet term. Working solely in the Jordan frame, we firstly recover the standard predictions of Higgs inflation without a Gauss-Bonnet term. We then calculate the power spectra for scalar and tensor perturbations in the presence of a coupling to a Gauss-Bonnet term. We show that generically the predictions of Higgs inflation are robust and the contributions to the power spectra coming from the Gauss-Bonnet term are negligible. We find, however, that the end of inflation can be strongly modified and that we hence expect the details of (p)reheating to be significantly altered, leading to some concerns over the feasibility of the model which require further investigations.

24 pages, 2 figures, updated to match published version

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• Gauss-Bonnet Inflation after Planck2018
• Construction of inflationary scenarios with the Gauss-Bonnet term and nonminimal coupling
• Invariant slow-roll parameters in scalar-tensor theories
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• Formalizing Slow-roll Inflation in Scalar-Tensor Theories of Gravitation
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• Inflationary Dynamics of Mutated Hilltop Inflation in Einstein-Gauss-Bonnet Gravity Under New Slow-Roll Approximations with Generalised Reheating
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