Gravitational Waves from Reheating beyond Instantaneous Thermalization

Abstract

We study gravitational-wave production during perturbative reheating without assuming instantaneous thermalization of the inflaton decay products. The injected energetic particles thermalize through an in-medium cascade of nearly collinear splittings subject to the Landau-Pomeranchuk-Migdal effect and are ultimately isotropized by elastic scatterings near the thermal scale. The non-thermal hard population present before complete thermalization produces an additional gravitational-wave component through hard-soft scatterings, with ${\Omega }_{\mathrm{GW}}\propto f^{1/2}$ below the injection-scale turnover. The same isotropization erases the directional information underlying the vacuum $1/k$ bremsstrahlung soft pole, changing the deep-infrared spectrum from ${\Omega }_{\mathrm{GW}}\propto f$ to ${\Omega }_{\mathrm{GW}}\propto f^3$.

Comments: 40 pages, 2 figures