Euclid: Cosmological forecasts from the void size function by S. Contarini et al.  on Monday 28 November
The Euclid mission $-$ with its spectroscopic galaxy survey covering a sky
area over $15\,000 \ \mathrm{deg}^2$ in the redshift range $0.9<z<1.8\ -$ will
provide a sample of tens of thousands of cosmic voids. This paper explores for
the first time the constraining power of the void size function on the
properties of dark energy (DE) from a survey mock catalogue, the official
Euclid Flagship simulation. We identify voids in the Flagship light-cone, which
closely matches the features of the upcoming Euclid spectroscopic data set. We
model the void size function considering a state-of-the art methodology: we
rely on the volume conserving (Vdn) model, a modification of the popular Sheth
& van de Weygaert model for void number counts, extended by means of a linear
function of the large-scale galaxy bias. We find an excellent agreement between
model predictions and measured mock void number counts. We compute updated
forecasts for the Euclid mission on DE from the void size function and provide
reliable void number estimates to serve as a basis for further forecasts of
cosmological applications using voids. We analyse two different cosmological
models for DE: the first described by a constant DE equation of state
parameter, $w$, and the second by a dynamic equation of state with coefficients
$w_0$ and $w_a$. We forecast $1\sigma$ errors on $w$ lower than $10\%$, and we
estimate an expected figure of merit (FoM) for the dynamical DE scenario
$\mathrm{FoM}_{w_0,w_a} = 17$ when considering only the neutrino mass as
additional free parameter of the model. The analysis is based on conservative
assumptions to ensure full robustness, and is a pathfinder for future
enhancements of the technique. Our results showcase the impressive constraining
power of the void size function from the Euclid spectroscopic sample, both as a
stand-alone probe, and to be combined with other Euclid cosmological probes.
arXiv: http://arxiv.org/abs/http://arxiv.org/abs/2205.11525v3

Euclid: Cosmological forecasts from the void size function by S. Contarini et al. on Monday 28 November The Euclid mission $-$ with its spectroscopic galaxy survey covering a sky area over $15\,000 \ \mathrm{deg}^2$ in the redshift range $0.9<z<1.8\ -$ will provide a sample of tens of thousands of cosmic voids. This paper explores for the first time the constraining power of the void size function on the properties of dark energy (DE) from a survey mock catalogue, the official Euclid Flagship simulation. We identify voids in the Flagship light-cone, which closely matches the features of the upcoming Euclid spectroscopic data set. We model the void size function considering a state-of-the art methodology: we rely on the volume conserving (Vdn) model, a modification of the popular Sheth & van de Weygaert model for void number counts, extended by means of a linear function of the large-scale galaxy bias. We find an excellent agreement between model predictions and measured mock void number counts. We compute updated forecasts for the Euclid mission on DE from the void size function and provide reliable void number estimates to serve as a basis for further forecasts of cosmological applications using voids. We analyse two different cosmological models for DE: the first described by a constant DE equation of state parameter, $w$, and the second by a dynamic equation of state with coefficients $w_0$ and $w_a$. We forecast $1\sigma$ errors on $w$ lower than $10\%$, and we estimate an expected figure of merit (FoM) for the dynamical DE scenario $\mathrm{FoM}_{w_0,w_a} = 17$ when considering only the neutrino mass as additional free parameter of the model. The analysis is based on conservative assumptions to ensure full robustness, and is a pathfinder for future enhancements of the technique. Our results showcase the impressive constraining power of the void size function from the Euclid spectroscopic sample, both as a stand-alone probe, and to be combined with other Euclid cosmological probes. arXiv: http://arxiv.org/abs/http://arxiv.org/abs/2205.11525v3

Euclid: Cosmological forecasts from the void size function by S. Contarini et al.  on Monday 28 November
The Euclid mission $-$ with its spectroscopic galaxy survey covering a sky
area over $15\,000 \ \mathrm{deg}^2$ in the redshift range $0.9

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Euclid: Cosmological forecasts from the void size function