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

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.

Comments: (v1) 10 pages, 2 figures; (v2) typos corrected, references added; (v3) 14 pages, 2 figures, discussions expanded including new appendix sections, to appear in Journal of Cosmology and Astroparticle Physics