  We consider a single scalar field inflation model with Higgs potential and
curvature corrections given by non-minimal derivative coupling to gravity and
coupling to the Gauss-Bonnet invariant. Exact analytical expressions, within
the slow-roll approximation, are obtained for the main physical quantities.
These corrections lead to successful inflation driven by the $\phi^4$-potential
with the main inflationary observables in the regions restricted by the latest
Planck data. It is shown that these curvature corrections can make the $\phi^4$
potential not only compatible with the current CMB observations, but also
consistent with the Standard Model Higgs phenomenology, achieving the
possibility that the Higgs boson acts as the primordial inflaton.
