Probing Dark Energy with Future X-ray Gas Mass Fraction Studies

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We examine the ability of a future X-ray observatory, with capabilities similar to those planned for the International X-ray Observatory (IXO), to constrain dark energy via measurements of the cluster X-ray gas mass fraction, fgas. Forthcoming large X-ray and SZ galaxy cluster surveys, from missions such as, Spectrum-RG/eROSITA, SPT, ACT or Planck, will find hot, X-ray luminous clusters out to high redshifts. Short snapshot observations with the new X-ray observatory should then be able to identify a sample of 500 hot (kT> 5keV), X-ray bright, suitably relaxed systems, to later re-observed them with longer exposure times ( 20ks per cluster on average) and measure fgas to a precision of 5 per cent. We study the ability to constrain dark energy using such sample. Our analysis uses a Markov Chain Monte Carlo method which fully captures the relevant degeneracies between parameters and facilitates the incorporation of priors and systematic uncertainties in the analysis. We explore the effects of such uncertainties for scenarios ranging from optimistic to pessimistic. We find that the fgas experiment offers a competitive and complementary approach to the best other large, planned dark energy experiments, with a comparable Dark Energy Task Force (DETF) figure of merit (FoM) of 15-40, with the possibility of boosting these values by 40 per cent or more by optimizing the redshift distribution of target clusters. The fgas experiment will provide tight constraints on the mean matter and dark energy densities, with a peak sensitivity for dark energy work at redshifts midway between those of supernovae and baryon acoustic oscillation(BAO)/weak lensing/cluster number counts experiments. In combination, these experiments should enable a precise measurement of the evolution of dark energy.

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