Projected constraints on the cosmic (super)string tension with future gravitational wave detection experiments

We present projected constraints on the cosmic string tension, $Gμ/c^2$, that could be achieved by future gravitational wave detection experiments and express our results as semi-analytic relations of the form $Gμ(Ω_ gwh^2)/c^2$, to allow for direct computation of the tension constraints for future experiments. These results can be applied to new constraints on $ogwh$ as they are imposed. Experiments operating in different frequency bands probe different parts of the gravitational wave spectrum of a cosmic string network and are sensitive to different uncertainties in the underlying cosmic string model parameters. We compute the gravitational wave spectra of cosmic string networks based on the one-scale model, covering all the parameter space accessed by each experiment which is strongly dependent on the birth scale of loops relative to the horizon, $α$. The upper limits on the string tension avoid any assumptions on the model parameters. We perform this investigation for Pulsar Timing Array experiments of different durations as well as ground-based and space-borne interferometric detectors.