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The abundance of clusters at the present epoch and weak gravitational lensing shear both constrain roughly the same combination of the power spectrum normalization σ 8 and matter energy density Ω M . The cluster constraint further depends on the normalization of the mass-temperature relation. Therefore, combining the weak-lensing and cluster abundance data can be used to accurately calibrate the mass-temperature relation. We discuss this approach and illustrate it using data from recent surveys.
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Huterer et al. (2002) studied this question.
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