Signal-to-noise ratio for a stochastic background of massive relic particles

We estimate the signal-to-noise ratio for two gravitational detectors interacting with a stochastic background of massive scalar waves. We find that the present experimental level of sensitivity could be already enough to detect a signal from a light but non-relativistic component of dark matter, even if the coupling is weak enough to exclude observable deviations from standard gravitational interactions, provided the mass is not too far from the sensitivity and overlapping band of the two detectors.