The Correlation Function and Detection of Baryon Acoustic Oscillation Peak from the Spectroscopic SDSS GalWCat Galaxy Cluster Catalogue
arxiv(2023)
摘要
We measure the two point correlation function (CF) of 1357 galaxy clusters
with a mass of $\log_{10}{M_{200}}\geq 13.6$~\hm~and at a redshift of $z \leq
0.125$. This work differs from previous analyses in that it utilizes a
spectroscopic cluster catalogue, $\mathtt{SDSS-GalWCat}$, to measure the CF and
detect the baryon acoustic oscillation (BAO) signal. Unlike previous studies
which use statistical techniques, we compute covariance errors directly by
generating a set of 1086 galaxy cluster lightcones from the GLAM $N$-body
simulation. Fitting the CF with a power-law model of the form $\xi(s) =
(s/s_0)^{-\gamma}$, we determine the best-fit correlation length and power-law
index at three mass thresholds. We find that the correlation length increases
with increasing the mass threshold while the power-law index is almost
constant. For $\log_{10}{M_{200}}\geq 13.6$~\hm, we find $s_0 =
14.54\pm0.87$~\h~and $\gamma=1.97\pm0.11$. We detect the BAO signal at $s =
100$~\h~with a significance of $1.60 \sigma$. Fitting the CF with a
$\Lambda$CDM model, we find $D_\mathrm{V}(z =
0.089)\mathrm{r}^{fid}_d/\mathrm{r}_d = 267.62 \pm 26$ \h, consistent with
Planck 2015 cosmology. We present a set of 108 high-fidelity simulated galaxy
cluster lightcones from the high-resolution \U~N-body simulation, employed for
methodological validation. We find $D_\mathrm{V}(z = 0.089)/r_d = 2.666 \pm
0.129$, indicating that our method does not introduce any bias in the parameter
estimation for this small sample of galaxy clusters.
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