Mathematics – Logic
Scientific paper
Apr 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004aps..oss.a3003s&link_type=abstract
American Physical Society, Ohio Section Spring 2004, April 16-17, 2004, Ohio University, Athens, Ohio, MEETING ID: OSS04, abstra
Mathematics
Logic
Scientific paper
Deriving cosmological parameters from counts of galaxy clusters requires a clear understanding of the relationship between cluster observables and their underlying mass. While previous work has assumed pure power-law forms for these relationships, we explore here a power-law model with log-normal scatter and apply it to describing the REFLEX X-ray cluster luminosity function within a ΛCDM universe. We assume a space density calibrated from Hubble Volume simulations (the ``Jenkins mass function'' dn(M)/d ln M) and compute a luminosity function dn(L)/d ln L by assuming a conditional probability p(M|L) described by a Gaussian of fixed log-normal width ΔM and mean relation L = L_15 M^p. Because of the flux-limited nature of the REFLEX catalog, the space density of clusters at different luminosities is effectively sampling the mass function at different redshifts. We explore different corrections for this effect, and derive maximum-likelihood estimates for the three model parameters, L_15, p and Δ_M. The most likely model requires large scatter ΔM ˜ 1, but the allowed region in parameter space is fairly broad. We discuss the role that independent observables such as gas temperature and lensing mass will have in helping to break the model degeneracy.
Evrard August
Stanek Rebecca
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