Papers › Neutrino mass constraint from an Implicit Likelihood Analysis of BOSS voids
Neutrino mass constraint from an Implicit Likelihood Analysis of BOSS voids
Leander Thiele, Elena Massara, Alice Pisani, ChangHoon Hahn, David N. Spergel, Shirley Ho, Benjamin Wandelt
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Cosmic voids identified in the spatial distribution of galaxies provide complementary information to two-point statistics. In particular, constraints on the neutrino mass sum, ∑m_ν, promise to benefit from the inclusion of void statistics. We perform inference on the CMASS NGC sample of SDSS-III/BOSS with the aim of constraining ∑m_ν. We utilize the void size function, the void galaxy cross power spectrum, and the galaxy auto power spectrum. To extract constraints from these summary statistics we use a simulation-based approach, specifically implicit likelihood inference. We populate approximate gravity-only, particle neutrino cosmological simulations with an expressive halo occupation distribution model. With a conservative scale cut of kmax=0.15 h/Mpc and a Planck-inspired LCDM prior, we find upper bounds on ∑m_ν of 0.43 and 0.35 eV from the galaxy auto power spectrum and the full data vector, respectively (95% credible interval). We observe hints that the void statistics may be most effective at constraining ∑m_ν from below. We also substantiate the usual assumption that the void size function is Poisson distributed.
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