  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.
