Mirror QCD phase transition as the origin of the nanohertz Stochastic Gravitational-Wave Background

Several Pulsar Timing Array (PTA) Collaborations have recently provided strong evidence for a nHz Stochastic Gravitational-Wave Background (SGWB). Here we investigate the implications of a first-order phase transition occurring within the early Universe's dark quantum chromodynamics epoch, specifically within the framework of the mirror twin Higgs dark sector model. Our analysis indicates a distinguishable SGWB signal originating from this phase transition, which can explain the measurements obtained by PTAs. Remarkably, a significant portion of the parameter space for the SGWB signal also effectively resolves the existing tensions in both the H₀ and S₈ measurements in Cosmology. This intriguing correlation suggests a possible common origin of these three phenomena for 0.2 < ΔN_eff < 0.5 , where the mirror dark matter component constitutes less than 30 % of the total dark matter abundance. Next-generation CMB experiments such as CMB-S4 can test this parameter region.