Neutrino mass constraint from an Implicit Likelihood Analysis of BOSS voids. (arXiv:2307.07555v1 [astro-ph.CO])
<a href="http://arxiv.org/find/astro-ph/1/au:+Thiele_L/0/1/0/all/0/1">Leander Thiele</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Massara_E/0/1/0/all/0/1">Elena Massara</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Pisani_A/0/1/0/all/0/1">Alice Pisani</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Hahn_C/0/1/0/all/0/1">ChangHoon Hahn</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Spergel_D/0/1/0/all/0/1">David N. Spergel</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Ho_S/0/1/0/all/0/1">Shirley Ho</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Wandelt_B/0/1/0/all/0/1">Benjamin Wandelt</a>

Cosmic voids identified in the spatial distribution of galaxies provide
complementary information to two-point statistics. In particular, constraints
on the neutrino mass sum, $sum m_nu$, 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 $sum m_nu$. 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 $sum m_nu$ 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 $sum
m_nu$ from below. We also substantiate the usual assumption that the void size
function is Poisson distributed.

Cosmic voids identified in the spatial distribution of galaxies provide
complementary information to two-point statistics. In particular, constraints
on the neutrino mass sum, $sum m_nu$, 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 $sum m_nu$. 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 $sum m_nu$ 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 $sum
m_nu$ from below. We also substantiate the usual assumption that the void size
function is Poisson distributed.

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