Power of Observational Hubble Parameter Data: a Figure of Merit Exploration

2) ((1) Department of Astronomy; (2) Center for High Energy Physics; Beijing Normal University; Cong Ma (1); Peking University); Tong-Jie Zhang (1

Power of Observational Hubble Parameter Data: a Figure of Merit Exploration

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arxiv 1007.3787 v2 pith:G25TYG6M submitted 2010-07-22 astro-ph.CO

Power of Observational Hubble Parameter Data: a Figure of Merit Exploration

Cong Ma (1) , Tong-Jie Zhang (1 , 2) ((1) Department of Astronomy , Beijing Normal University , (2) Center for High Energy Physics , Peking University) This is my paper

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We use simulated Hubble parameter data in the redshift range 0 \leq z \leq 2 to explore the role and power of observational H(z) data in constraining cosmological parameters of the {\Lambda}CDM model. The error model of the simulated data is empirically constructed from available measurements and scales linearly as z increases. By comparing the median figures of merit calculated from simulated datasets with that of current type Ia supernova data, we find that as many as 64 further independent measurements of H(z) are needed to match the parameter constraining power of SNIa. If the error of H(z) could be lowered to 3%, the same number of future measurements would be needed, but then the redshift coverage would only be required to reach z = 1. We also show that accurate measurements of the Hubble constant H_0 can be used as priors to increase the H(z) data's figure of merit.

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