The stochastic gravitational-wave background (SGWB) produced by merging
neutron stars features a peak in the kHz frequency band. In this paper, we
develop a theoretical framework to exploit such a distinguishing feature
through a Markov Chain Monte Carlo analysis using a simulated data-set of SGWB
measurements within this frequency band. The aim is to use the peak of the SGWB
as an observable to constrain a selection of astrophysical and cosmological
parameters that accurately describe the SGWB. We examine how the variation of
these parameters impacts the morphology of the SGWB. Given our priors on
astrophysical and cosmological parameters, we show that the values of the chirp
mass and common envelope efficiency of the binary systems are retrieved with
percent accuracy, as well as the cosmological expansion history populated by
these binaries, represented by the Hubble constant, the matter abundance and
the effective equation of state of the dark energy.Comment: 10 pages, 6 figure
