The thermal Sunyaev-Zel ’ dovich ( tSZ ) effect is one of the recent probes of cosmology and large-scale structures .
We update constraints on cosmological parameters from galaxy clusters observed by the Planck satellite in a first attempt to combine cluster number counts and the power spectrum of hot gas ; we used a new value of the optical depth and , at the same time , sampling on cosmological and scaling-relation parameters .
We find that in the \Lambda CDM model , the addition of a tSZ power spectrum provides small improvements with respect to number counts alone , leading to the 68 \% c.l .
constraints \Omega _ { m } = 0.32 \pm 0.02 , \sigma _ { 8 } = 0.76 \pm 0.03 , and \sigma _ { 8 } ( \Omega _ { m } / 0.3 ) ^ { 1 / 3 } = 0.78 \pm 0.03 and lowering the discrepancy with results for cosmic microwave background ( CMB ) primary anisotropies ( updated with the new value of \tau ) to \simeq 1.8 \sigma on \sigma _ { 8 } .
We analysed extensions to the standard model , considering the effect of massive neutrinos and varying the equation of state parameter for dark energy .
In the first case , we find that the addition of the tSZ power spectrum helps in improving cosmological constraints with respect to number count alone results , leading to the 95 \% upper limit \sum m _ { \nu } < 1.88 \text { eV } .
For the varying dark energy equation of state scenario , we find no important improvements when adding tSZ power spectrum , but still the combination of tSZ probes is able to provide constraints , producing w = -1.0 \pm 0.2 .
In all cosmological scenarios , the mass bias to reconcile CMB and tSZ probes remains low at ( 1 - b ) \lesssim 0.67 as compared to estimates from weak lensing and X-ray mass estimate comparisons or numerical simulations .