Abstract

We investigate constraints on cosmological parameters in three 8-parameter models with the summed neutrino mass as a free parameter,by a joint analysis of CCCP X-ray cluster data, the newly released Planck CMB data as well as some external data sets including baryon acoustic oscillation measurementsfrom the 6dFGS, SDSS DR7 and BOSS DR9 surveys, and Hubble Space Telescope H0 measurement.We find that the combined data strongly favor a non-zero neutrino massesat more than 3σ confidence level in these non-vanilla models.Allowing the CMB lensing amplitude AL to vary, we find AL > 1 at 3σ confidence level.For dark energy with a constant equation of state w, we obtain w < −1 at 3σ confidence level.The estimate of the matter power spectrum amplitude σ8 is discrepant withthe Planck value at 2σ confidence level, which reflects some tensionbetween X-ray cluster data and Planck data in these non-vanilla models.The tension can be alleviated by adding a 9% systematic shift in the cluster mass function.

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