Scalar one-loop tensor power spectrum during single-field inflation

TL;DR

This paper computes the one-loop correction to the tensor power spectrum during single-field inflation, revealing it is proportional to the product of the slow-roll parameter and the scalar spectrum, with notable logarithmic effects.

Contribution

It provides the first detailed calculation of scalar-induced one-loop tensor corrections in single-field inflation, including the impact of logarithmic terms.

Findings

One-loop correction proportional to slow-roll parameter times scalar spectrum

Logarithmic contributions affect the correction magnitude

Implications for precision inflationary predictions

Abstract

We calculate the scalar-induced one-loop correction to the power spectrum of tensor perturbations produced during single-field slow-roll inflation. We find that the correction is given by the square of the product of the slow-roll parameter and the tree-level scalar power spectrum. We also discuss the implications of the logarithmic contribution.