Gravity's smoking gun?

Abstract

We present a new constraint on the biased galaxy formation picture. Gravitational instability theory predicts that the two-point mass density correlation function, ξ(r), has an inflection point at the separation r=r_0, corresponding to the boundary between the linear and nonlinear regime of clustering, ξ= 1. We show how this feature can be used to constrain the square of the biasing parameter, b^2 = ξ_g / ξon scales r = r_0, where ξ_g is the galaxy-galaxy correlation function, allowed to differ from ξ. We apply our method to real data: the ξ_g(r), estimated from the APM galaxy survey. Our results suggest that the APM galaxies trace the mass at separations r > 5 Mpc/h, where h is the Hubble constant in units of 100 km/s Mpc. The present results agree with earlier studies, based on comparing higher order correlations in the APM with weakly non-linear perturbation theory. Both approaches constrain the "b" factor to be within 20% of unity. If the existence of the feature we identified in the APM ξ_g(r) -- the inflection point near ξ_g = 1 -- is confirmed by more accurate surveys, we may have discovered gravity's smoking gun: the long awaited ``shoulder'' in ξ, predicted by Gott and Rees 25 years ago.