Scaling Laws and Luminosity Segregation

Astronomy and Astrophysics – Astronomy

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Cosmology: Theory, Cosmology: Dark Matter, Cosmology: Large-Scale Structure Of Universe

Scientific paper

We debate how the scaling properties of the angular correlation function w(θ) depend on luminosity segregation. Under the approximation that there is no deviation from Euclidean geometry and no evolution, we find that the scaling with catalog depth (D*) is the same both for a luminosity (L) independent clustering length (r0) and for a generic dependence of r0 on L. Recent angular data, however, extend to depths where the above approximation is unsuitable and the simple scaling w~D-γ* should be modified. We find that such modifications depend on the shape of the L-dependence of r0 and are indeed different depending on whether luminosity segregation is or is not considered. In particular, we find that a luminosity segregation as observed at z=0 causes effects of the same order as varying the rate of clustering evolution. For the sake of example, we apply our expressions to available angular galaxy data in the B- and R-bands and show that significant constraints on the evolution of clustering can already be found with public data.

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