Nonlinear Scales in Luminal Horndeski -- I. Halo mass function and power spectrum boost in models with Vainshtein screening

Fuente: arXiv
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Autores principales: de Boe, Dani, Pantiri, Mattia, Ye, Gen, Silvestri, Alessandra
Formato: Preprint
Publicado: 2026
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author de Boe, Dani
Pantiri, Mattia
Ye, Gen
Silvestri, Alessandra
author_facet de Boe, Dani
Pantiri, Mattia
Ye, Gen
Silvestri, Alessandra
contents We investigate nonlinear structure formation in Horndeski gravity with a luminal gravitational wave speed ($c_T = 1$) using the spherical collapse model incorporating Vainshtein screening. We compute the critical and virial overdensities and use these to evaluate the halo mass function within several commonly employed formalisms. Building on the reaction method, we develop a flexible and accurate framework for computing the nonlinear matter power spectrum across a broad class of viable modified gravity models within luminal Horndeski theories. The framework interfaces seamlessly with EFTCAMB and is applicable to both covariant Horndeski models and effective field theory descriptions of dark energy, allowing for a range of background cosmologies. This approach enables systematic exploration of a wide space of theories and cosmological parameters, with the goal of informing future analyses of upcoming large-scale structure surveys.
format Preprint
id arxiv_https___arxiv_org_abs_2601_02074
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Nonlinear Scales in Luminal Horndeski -- I. Halo mass function and power spectrum boost in models with Vainshtein screening
de Boe, Dani
Pantiri, Mattia
Ye, Gen
Silvestri, Alessandra
Cosmology and Nongalactic Astrophysics
We investigate nonlinear structure formation in Horndeski gravity with a luminal gravitational wave speed ($c_T = 1$) using the spherical collapse model incorporating Vainshtein screening. We compute the critical and virial overdensities and use these to evaluate the halo mass function within several commonly employed formalisms. Building on the reaction method, we develop a flexible and accurate framework for computing the nonlinear matter power spectrum across a broad class of viable modified gravity models within luminal Horndeski theories. The framework interfaces seamlessly with EFTCAMB and is applicable to both covariant Horndeski models and effective field theory descriptions of dark energy, allowing for a range of background cosmologies. This approach enables systematic exploration of a wide space of theories and cosmological parameters, with the goal of informing future analyses of upcoming large-scale structure surveys.
title Nonlinear Scales in Luminal Horndeski -- I. Halo mass function and power spectrum boost in models with Vainshtein screening
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2601.02074