Imprints of the redshift evolution of double neutron star merger rate on the signal to noise ratio distribution

Understand

Proposed third generation gravitational wave (GW) interferometers such as Cosmic Explorer will have the sensitivity to observe double neutron star (DNS) mergers up to a redshift of $\sim 5$ with good signal to noise ratios.

• We argue that the comoving spatial distribution of DNS mergers leaves a unique imprint on the statistical distribution of signal to noise ratios (SNRs) of the detected DNS mergers.
• Hence the SNR distribution of DNS mergers will facilitate a novel probe of their redshift evolution independent of the luminosity distance measurements.
• We consider detections of DNS mergers by the third generation detector Cosmic Explorer and study the SNR distribution for different possible redshift evolution models of DNSs and employ Anderson Darling p-value statistic to demonstrate the distinguishability between these different models.