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arxiv 2006.01146 v1 pith:JSNU7YZQ submitted 2020-06-01 astro-ph.CO astro-ph.GA

Galaxy Bias and σ₈ from Counts in Cells from the SDSS Main Sample

classification astro-ph.CO astro-ph.GA
keywords distributiongalaxysigmabiasredshiftdarkdistortionslinear
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The counts-in-cells (CIC) galaxy probability distribution depends on both the dark matter clustering amplitude $\sigma_8$ and the galaxy bias $b$. We present a theory for the CIC distribution based on a previous prescription of the underlying dark matter distribution and a linear volume transformation to redshift space. We show that, unlike the power spectrum, the CIC distribution breaks the degeneracy between $\sigma_8$ and $b$ on scales large enough that both bias and redshift distortions are still linear; thus we obtain a simultaneous fit for both parameters. We first validate the technique on the Millennium Simulation and then apply it to the SDSS Main Galaxy Sample. We find $\sigma_8 = 0.94^{+.11}_{-.10}$ and $b = 1.36^{+.14}_{-.11}$, consistent with previous complementary results from redshift distortions and from Planck.

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