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We study the gravitational wave (GW) signature of first-order chiral phasetransitions ($\chi$PT) in strongly interacting hidden or dark sectors. We do sousing several effective models in order to reliably capture the relevantnon-perturbative dynamics. This approach allows us to explicitly calculate keyquantities characterizing the $\chi$PT without having to resort to roughestimates. Most importantly, we find that the transition's inverse duration$\beta$ normalized to the Hubble parameter $H$ is at least two orders ofmagnitude larger than typically assumed in comparable scenarios, namely$\beta/H\gtrsim\mathcal{O}(10^4)$. The obtained GW spectra then suggest thatsignals from hidden $\chi$PTs occurring at around 100 MeV can be in reach ofLISA, while DECIGO and BBO may detect a stochastic GW background associatedwith transitions between roughly 1 GeV and 10 TeV. Signatures of transitions athigher temperatures are found to be outside the range of any currently proposedexperiment. Even though predictions from different effective models arequalitatively similar, we find that they may vary considerably from aquantitative point of view, which highlights the need for true first-principlecalculations such as lattice simulations.

Observational prospects for gravitational waves from hidden or dark chiral phase transitions