Misc,

Measurement of the Relativistic Sunyaev-Zeldovich Corrections in RX J1347.5-1145

, , , , , , , , , , and .
(2021)cite arxiv:2110.13932Comment: 20 pages, 9 figures.

Abstract

We present a measurement of the relativistic corrections to the thermal Sunyaev-Zel'dovich (SZ) effect spectrum, the rSZ effect, toward the massive galaxy cluster RX J1347.5-1145 by combining sub-mm images from Herschel-SPIRE with mm-wave Bolocam maps. Our analysis simultaneously models the SZ effect signal, the population of cosmic infrared background (CIB) galaxies, and galactic cirrus dust emission in a manner that fully accounts for their spatial and frequency-dependent correlations. Gravitational lensing of background galaxies by RX J1347.5-1145 is included in our methodology based on a mass model derived from HST observations. Utilizing a set of realistic mock observations, we employ a forward modelling approach that accounts for the non-Gaussian covariances between observed astrophysical components to determine the posterior distribution of SZ effect brightness values consistent with the observed data. We determine a maximum a posteriori (MAP) value of the average Comptonization parameter of the intra-cluster medium (ICM) within R$_2500$ to be $y \rangle_2500 = 1.56 10^-4$, with corresponding 68~per cent credible interval $1.42,1.63 10^-4$, and a MAP ICM electron temperature of $T_sz \rangle_2500 = 22.4$~keV with 68~per cent credible interval spanning $10.4,33.0$~keV. This is in good agreement with the pressure-weighted temperature obtained from Chandra X-ray observations, $T_x,pw\rangle_2500 = 17.4 2.3$~keV. We aim to apply this methodology to comparable existing data for a sample of 39 galaxy clusters, with an estimated uncertainty on the ensemble mean $T_sz \rangle_2500$ at the $1$~keV level, sufficiently precise to probe ICM physics and to inform X-ray temperature calibration.

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