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

Abstract

We present projected constraints on the cosmic string tension, $G\mu /c^2$, that could be achieved by future gravitational wave detection experiments and express our results as semi-analytic relations of the form $G\mu ({\Omega }_{\mathrm{gw}}{h}^2)/c^2$, 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, $\alpha$. 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.

6 pages, 3 figures; accepted in ApJ. Additional references and acknowledgements

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