Galaxy cluster Sunyaev-Zel’dovich effect scaling-relation and type Ia supernova observations as a test for the cosmic distance duality relation. (arXiv:1904.01342v1 [astro-ph.CO])
<a href="http://arxiv.org/find/astro-ph/1/au:+Holanda_R/0/1/0/all/0/1">R. F. L. Holanda</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Colaco_L/0/1/0/all/0/1">L. R. Cola&#xe7;o</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Pereira_S/0/1/0/all/0/1">S. H. Pereira</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Silva_R/0/1/0/all/0/1">R. Silva</a>

In this paper, we propose a new test to the cosmic distance duality relation
(CDDR), $D_L=D_A(1+z)^2$, where $D_L$ and $D_A$ are the luminosity and angular
diameter distances, respectively. The data used correspond to 61 Type Ia
Supernova luminosity distances and $Y_{SZE}-Y_X$ measurements of 61 galaxy
clusters obtained by the {it Planck} mission and the deep XMM-Newton X-ray
data, where $Y_{SZE}$ is the integrated comptonization parameter obtained via
Sunyaev-Zel’dovich effect observations and $Y_X$ is the X-ray counterpart. More
precisely, we use the $Y_{SZE}D_{A}^{2}/C_{XSZE}Y_X$ scaling-relation and a
deformed CDDR, such as $D_L/D_A(1+z)^2=eta(z)$, to verify if $eta(z)$ is
compatible with the unity. Two $eta(z)$ functions are used, namely,
$eta(z)=1+eta_0 z$ and $eta(z)=1+eta_0 z /(1+z)$. We obtain that the CDDR
validity ($eta_0=0$) is verified only marginally ($approx 3sigma$ c.l.). In
other words, if one considers the CDDR validity, our results point to a tension
between the data set.

In this paper, we propose a new test to the cosmic distance duality relation
(CDDR), $D_L=D_A(1+z)^2$, where $D_L$ and $D_A$ are the luminosity and angular
diameter distances, respectively. The data used correspond to 61 Type Ia
Supernova luminosity distances and $Y_{SZE}-Y_X$ measurements of 61 galaxy
clusters obtained by the {it Planck} mission and the deep XMM-Newton X-ray
data, where $Y_{SZE}$ is the integrated comptonization parameter obtained via
Sunyaev-Zel’dovich effect observations and $Y_X$ is the X-ray counterpart. More
precisely, we use the $Y_{SZE}D_{A}^{2}/C_{XSZE}Y_X$ scaling-relation and a
deformed CDDR, such as $D_L/D_A(1+z)^2=eta(z)$, to verify if $eta(z)$ is
compatible with the unity. Two $eta(z)$ functions are used, namely,
$eta(z)=1+eta_0 z$ and $eta(z)=1+eta_0 z /(1+z)$. We obtain that the CDDR
validity ($eta_0=0$) is verified only marginally ($approx 3sigma$ c.l.). In
other words, if one considers the CDDR validity, our results point to a tension
between the data set.

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