Gravitational waves from first-order phase transitions: Towards model separation by bubble nucleation rate

Abstract

We study gravitational-wave production from bubble collisions in a cosmic first-order phase transition, focusing on the possibility of model separation by the bubble nucleation rate dependence of the resulting gravitational-wave spectrum. By using the method of relating the spectrum with the two-point correlator of the energy-momentum tensor $⟨T(x)T(y)⟩$, we first write down analytic expressions for the spectrum with a Gaussian correction to the commonly used nucleation rate, $Γ\propto e^{βt}\rightarrow e^{βt-γ^2t^2}$, under the thin-wall and envelope approximations. Then we quantitatively investigate how the spectrum changes with the size of the Gaussian correction. It is found that the spectral shape shows $\mathcal{O}(10)\%$ deviation from $\hat{I}“\propto e^{{\hat{I}}^{2}t}$ case for some physically motivated scenarios. We also briefly discuss detector sensitivities required to distinguish different spectral shapes.

36 pages, 13 figures, 1 figure from arXiv:1605.01403