Consistency relations for large-field inflation: Non-minimal coupling

chiba, takeshi; kohri, kazunori;

We derive the consistency relations for a chaotic inflation model with a non-minimal coupling to gravity. For a quadratic potential in the limit of a small non-minimal coupling parameter ξ and for a quartic potential without assuming small ξ , we give the consistency relations among the
spectral index ns , the tensor-to-scalar ratio r , and the running of the spectral index α. We find that, unlike r , α is less sensitive to ξ. If r < 0.1, then ξ is constrained toξ < 0 and α is predicted to be α  −8 × 10−4 for a quartic potential. For a general monomial potential, α is constrained in the range −2.7 × 10−3 < α < −6 × 10−4 as long as |ξ| ≤ 10−3 if r < 0.1.