Consistency Relations for Large Field Inflation

TL;DR

This paper derives consistency relations for large field inflation models involving key observables and discusses how precise measurements can distinguish between different inflation scenarios.

Contribution

It provides new consistency relations linking spectral index, tensor-to-scalar ratio, and spectral running for large field inflation models.

Findings

Consistency relations involving $n_s$, $r$, and $eta$ are established.

Measurement of spectral running can discriminate inflation models.

A general consistency region for large field models is presented.

Abstract

Consistency relations for chaotic inflation with a monomial potential and natural inflation and hilltop inflation are given which involve the scalar spectral index $n_s$, the tensor-to-scalar ratio $r$ and the running of the spectral index $\alpha$. The measurement of $\alpha$ with $O(10^{-3})$ and the improvement in the measurement of $n_s$ could discriminate monomial model from natural/hilltop inflation models. A consistency region for general large field models is also presented.