Euclid preparation. XXIV. Calibration of the halo mass function in $Lambda(nu)$CDM cosmologies. (arXiv:2208.02174v1 [astro-ph.CO])

Euclid preparation. XXIV. Calibration of the halo mass function in $Lambda(nu)$CDM cosmologies. (arXiv:2208.02174v1 [astro-ph.CO])
<a href="http://arxiv.org/find/astro-ph/1/au:+Collaboration_Euclid/0/1/0/all/0/1">Euclid Collaboration</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Castro_T/0/1/0/all/0/1">T. Castro</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Fumagalli_A/0/1/0/all/0/1">A. Fumagalli</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Angulo_R/0/1/0/all/0/1">R. E. Angulo</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Bocquet_S/0/1/0/all/0/1">S. Bocquet</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Borgani_S/0/1/0/all/0/1">S. Borgani</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Carbone_C/0/1/0/all/0/1">C. Carbone</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Dakin_J/0/1/0/all/0/1">J. Dakin</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Dolag_K/0/1/0/all/0/1">K. Dolag</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Giocoli_C/0/1/0/all/0/1">C. Giocoli</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Monaco_P/0/1/0/all/0/1">P. 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Euclid’s photometric galaxy cluster survey has the potential to be a very
competitive cosmological probe. The main cosmological probe with observations
of clusters is their number count, within which the halo mass function (HMF) is
a key theoretical quantity. We present a new calibration of the analytic HMF,
at the level of accuracy and precision required for the uncertainty in this
quantity to be subdominant with respect to other sources of uncertainty in
recovering cosmological parameters from Euclid cluster counts. Our model is
calibrated against a suite of N-body simulations using a Bayesian approach
taking into account systematic errors arising from numerical effects in the
simulation. First, we test the convergence of HMF predictions from different
N-body codes, by using initial conditions generated with different orders of
Lagrangian Perturbation theory, and adopting different simulation box sizes and
mass resolution. Then, we quantify the effect of using different halo-finder
algorithms, and how the resulting differences propagate to the cosmological
constraints. In order to trace the violation of universality in the HMF, we
also analyse simulations based on initial conditions characterised by
scale-free power spectra with different spectral indexes, assuming both
Einstein–de Sitter and standard $Lambda$CDM expansion histories. Based on
these results, we construct a fitting function for the HMF that we demonstrate
to be sub-percent accurate in reproducing results from 9 different variants of
the $Lambda$CDM model including massive neutrinos cosmologies. The calibration
systematic uncertainty is largely sub-dominant with respect to the expected
precision of future mass-observation relations; with the only notable exception
of the effect due to the halo finder, that could lead to biased cosmological
inference.

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