Combining Planck and SPT Cluster Catalogs: Cosmological Analysis and Impact on the Planck Scaling Relation Calibration

Abstract

<div class="page" title="Page 1">\n<div class="layoutArea">\n<div class="column">\n<p><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">We provide the </span><span style="font-size: 10pt; font-family: 'AdvOTf9433e2d+fb';">fi</span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">rst combined cosmological analysis of the South Pole Telescope </span><span style="font-size: 10pt; font-family: AdvOTb0c9bf5d;">(</span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">SPT</span><span style="font-size: 10pt; font-family: AdvOTb0c9bf5d;">) </span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">and Planck cluster catalogs. The aim is to provide an independent calibration for Planck scaling relations, exploiting the cosmological constraining power of the SPT-SZ cluster catalog and its dedicated weak lensing </span><span style="font-size: 10pt; font-family: AdvOTb0c9bf5d;">(</span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">WL</span><span style="font-size: 10pt; font-family: AdvOTb0c9bf5d;">) </span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">and X-ray follow-up observations. We build a new version of the Planck cluster likelihood. In the </span><span style="font-size: 10pt; font-family: 'AdvTTec1d2308.I+03';">ν</span><span style="font-size: 10pt; font-family: 'AdvTTab7e17fd+03';">Λ </span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">CDM scenario, focusing on the mass</span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">slope and mass bias of Planck scaling relations, we </span><span style="font-size: 10pt; font-family: 'AdvOTf9433e2d+fb';">fi</span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">nd </span><span style="font-size: 10pt; font-family: EuclidSymbol; font-style: italic;">a</span><span style="font-size: 10pt; font-family: EuclidSymbol;">= </span><span style="font-size: 10pt; font-family: TimesLTStd;">1.49</span><span style="font-size: 7pt; font-family: EuclidSymbol; vertical-align: 4pt;">+</span><span style="font-size: 7pt; font-family: TimesLTStd; vertical-align: 4pt;">0.07 </span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">and </span><span style="font-size: 10pt; font-family: STIXGeneral;">(</span><span style="font-size: 10pt; font-family: TimesLTStd;">1 </span><span style="font-size: 10pt; font-family: EuclidSymbol;">- </span><span style="font-size: 10pt; font-family: TimesLTStd; font-style: italic;">b</span><span style="font-size: 10pt; font-family: STIXGeneral;">) </span><span style="font-size: 7pt; font-family: EuclidSymbol;">-</span><span style="font-size: 7pt; font-family: TimesLTStd;">0.10 </span><span style="font-size: 7pt; font-family: TimesLTStd; vertical-align: 1pt;">SZ </span><span style="font-size: 8pt; font-family: AdvOTf9433e2d;">Salvati et al. </span><span style="font-size: 10pt; font-family: EuclidSymbol;">= </span><span style="font-size: 10pt; font-family: TimesLTStd;">0.69</span><span style="font-size: 7pt; font-family: EuclidSymbol; vertical-align: 4pt;">+</span><span style="font-size: 7pt; font-family: TimesLTStd; vertical-align: 4pt;">0.07</span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">, respectively. </span><span style="font-size: 7pt; font-family: EuclidSymbol;">-</span><span style="font-size: 7pt; font-family: TimesLTStd;">0.14. </span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">The results for the mass slope show a </span><span style="font-size: 10pt; font-family: 'AdvTTab7e17fd+22';">∼</span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">4 </span><span style="font-size: 10pt; font-family: 'AdvTTec1d2308.I+03';">σ </span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">departure from the self-similar evolution, </span><span style="font-size: 10pt; font-family: 'AdvTTec1d2308.I+03';">α</span><span style="font-size: 7pt; font-family: AdvOTf9433e2d; vertical-align: -2pt;">SZ </span><span style="font-size: 10pt; font-family: 'AdvTTab7e17fd+22';">∼ </span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">1.8. This shift is mainly </span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">driven by the matter density value preferred by SPT data, </span><span style="font-size: 10pt; font-family: 'AdvTTab7e17fd+03';">Ω</span><span style="font-size: 7pt; font-family: 'AdvOTb4af3d5d.I'; vertical-align: -2pt;">m </span><span style="font-size: 10pt; font-family: AdvTTab7e17fd;">= </span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">0.30 </span><span style="font-size: 10pt; font-family: AdvTTab7e17fd;">± </span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">0.03, lower than the one obtained by Planck data alone, </span><span style="font-size: 10pt; font-family: EuclidSymbol;">W = </span><span style="font-size: 10pt; font-family: TimesLTStd;">0.37</span><span style="font-size: 7pt; font-family: EuclidSymbol; vertical-align: 4pt;">+</span><span style="font-size: 7pt; font-family: TimesLTStd; vertical-align: 4pt;">0.02</span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">. The mass bias constraints are consistent both with outcomes of hydrodynamical </span><span style="font-size: 7pt; font-family: TimesLTStd; font-style: italic; vertical-align: 1pt;">m </span><span style="font-size: 7pt; font-family: EuclidSymbol;">-</span><span style="font-size: 7pt; font-family: TimesLTStd;">0.06 </span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">simulations and external WL calibrations, </span><span style="font-size: 10pt; font-family: AdvOTb0c9bf5d;">(</span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">1 </span><span style="font-size: 10pt; font-family: 'AdvTTab7e17fd+22';">− </span><span style="font-size: 10pt; font-family: 'AdvOTb4af3d5d.I';">b</span><span style="font-size: 10pt; font-family: AdvOTb0c9bf5d;">) </span><span style="font-size: 10pt; font-family: 'AdvTTab7e17fd+22';">∼ </span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">0.8, and with results required by the Planck cosmic microwave </span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">background cosmology, </span><span style="font-size: 10pt; font-family: AdvOTb0c9bf5d;">(</span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">1 </span><span style="font-size: 10pt; font-family: 'AdvTTab7e17fd+22';">− </span><span style="font-size: 10pt; font-family: 'AdvOTb4af3d5d.I';">b</span><span style="font-size: 10pt; font-family: AdvOTb0c9bf5d;">) </span><span style="font-size: 10pt; font-family: 'AdvTTab7e17fd+22';">∼ </span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">0.6. From this analysis, we obtain a new catalog of Planck cluster masses </span><span style="font-size: 10pt; font-family: 'AdvOTb4af3d5d.I';">M</span><span style="font-size: 7pt; font-family: AdvOTf9433e2d; vertical-align: -2pt;">500</span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">. We estimate the ratio between the published Planck </span><span style="font-size: 10pt; font-family: 'AdvOTb4af3d5d.I';">M</span><span style="font-size: 7pt; font-family: AdvOTf9433e2d; vertical-align: -2pt;">SZ </span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">masses and our derived masses </span><span style="font-size: 10pt; font-family: 'AdvOTb4af3d5d.I';">M</span><span style="font-size: 7pt; font-family: AdvOTf9433e2d; vertical-align: -2pt;">500</span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">, as a </span><span style="font-size: 10pt; font-family: 'AdvOTf9433e2d+20';">“</span><span style="font-size: 10pt; font-family: AdvOTf9433e2d;">measured mass bias,</span><span style="font-size: 10pt; font-family: 'AdvOTf9433e2d+20';">” </span><span style="font-size: 10pt; font-family: STIXGeneral;">(</span><span style="font-size: 10pt; font-family: TimesLTStd;">1 </span><span style="font-size: 10pt; font-family: EuclidSymbol;">- </span><span style="font-size: 10pt; font-family: TimesLTStd; font-style: italic;">b</span><span style="font-size: 10pt; font-family: STIXGeneral;">)</span><span style="font-size: 7pt; font-family: TimesLTStd; font-style: italic; vertical-align: -2pt;">M </span><span style="font-size: 10pt; font-

Topics & Concepts