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TITLE Cosmological Parameter Estimation from the Two-dimensional Genus Topology: Measuring the Shape of the Matter Power Spectrum
KIAS AUTHORS Kim, Juhan,Appleby, Stephen,Appleby, Stephen,Park, Changbom,Hwang, Ho Seong
JOURNAL ASTROPHYSICAL JOURNAL, 2020
ARCHIVE 2004.01424
ABSTRACT We present measurements of the two-dimensional genus of the SDSS-III Baryon Oscillation Spectroscopic Survey (BOSS) catalogs to constrain cosmological parameters governing the shape of the matter power spectrum. The BOSS data are divided into 12 concentric shells over the redshift range 0.2 z < 0.6, and we extract the genus from the projected two-dimensional galaxy density fields. We compare the genus amplitudes to their Gaussian expectation values, exploiting the fact that this quantity is relatively insensitive to nonlinear gravitational collapse. The genus amplitude provides a measure of the shape of the linear matter power spectrum and is principally sensitive to Omega(c)h(2) and scalar spectral index n(s). A strong negative degeneracy between Omega(c)h(2) and n(s) is observed, as both can increase small-scale power by shifting the peak and tilting the power spectrum, respectively. We place a constraint on the particular combination n(s)(3/2) Omega(c)h(2)-we find n(s)(3/2) Omega(c)h(2) = 0.1121 +/- 0.0043 after combining the LOWZ and CMASS data sets, assuming a flat ?CDM cosmology. This result is practically insensitive to reasonable variations of the power spectrum amplitude and linear galaxy bias. Our results are consistent with the Planck best fit n(s)(3/2) Omega(c)h(2) = 0.1139 +/- 0.0009.
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