DUCA: Dynamic Universe Cosmological Analysis. I. The halo mass function in dynamical dark energy cosmologies

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Autori principali: Castro, Tiago, Borgani, Stefano, Dakin, Jeppe
Natura: Preprint
Pubblicazione: 2025
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author Castro, Tiago
Borgani, Stefano
Dakin, Jeppe
author_facet Castro, Tiago
Borgani, Stefano
Dakin, Jeppe
contents The halo mass function (HMF) is fundamental for interpreting the number counts of galaxy clusters, serving as a pivotal theoretical tool in cosmology. With the advent of high-precision surveys such as LSST, eROSITA, DESI, and Euclid, accurate HMF modeling becomes indispensable to avoid systematic biases in cosmological parameter estimation from cluster cosmology. Moreover, these surveys aim to shed light on the dark sector and uncover dark energy's puzzling nature, necessitating models that faithfully capture its features to ensure robust parameter inference. We aim to construct a model for the HMF in dynamical dark energy cosmologies that preserves the accuracy achieved for the standard $Λ(ν)$CDM model of cosmology, while meeting the precision requirements necessary for future cosmological surveys. Our approach models the HMF parameters as functions of the deceleration parameter at the turnaround, a quantity shown to encapsulate essential information regarding the impact of dynamical dark energy on structure formation. We calibrate the model using results from a comprehensive suite of $N$-body simulations spanning various cosmological scenarios, ensuring sub-percent systematic accuracy. We present an HMF model tailored for dynamical dark energy cosmologies. The model is calibrated following a Bayesian approach, and its uncertainty is characterized by a single parameter controlling its systematic error, which remains at the sub-percent level. This ensures that theoretical uncertainties from our model are subdominant relative to other error sources in future cluster number counts analyses.
format Preprint
id arxiv_https___arxiv_org_abs_2504_07608
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle DUCA: Dynamic Universe Cosmological Analysis. I. The halo mass function in dynamical dark energy cosmologies
Castro, Tiago
Borgani, Stefano
Dakin, Jeppe
Cosmology and Nongalactic Astrophysics
The halo mass function (HMF) is fundamental for interpreting the number counts of galaxy clusters, serving as a pivotal theoretical tool in cosmology. With the advent of high-precision surveys such as LSST, eROSITA, DESI, and Euclid, accurate HMF modeling becomes indispensable to avoid systematic biases in cosmological parameter estimation from cluster cosmology. Moreover, these surveys aim to shed light on the dark sector and uncover dark energy's puzzling nature, necessitating models that faithfully capture its features to ensure robust parameter inference. We aim to construct a model for the HMF in dynamical dark energy cosmologies that preserves the accuracy achieved for the standard $Λ(ν)$CDM model of cosmology, while meeting the precision requirements necessary for future cosmological surveys. Our approach models the HMF parameters as functions of the deceleration parameter at the turnaround, a quantity shown to encapsulate essential information regarding the impact of dynamical dark energy on structure formation. We calibrate the model using results from a comprehensive suite of $N$-body simulations spanning various cosmological scenarios, ensuring sub-percent systematic accuracy. We present an HMF model tailored for dynamical dark energy cosmologies. The model is calibrated following a Bayesian approach, and its uncertainty is characterized by a single parameter controlling its systematic error, which remains at the sub-percent level. This ensures that theoretical uncertainties from our model are subdominant relative to other error sources in future cluster number counts analyses.
title DUCA: Dynamic Universe Cosmological Analysis. I. The halo mass function in dynamical dark energy cosmologies
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2504.07608