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

arXiv:2601.02074 · astro-ph.CO · Submitted 2026-01-05 · Read on arXiv

astro-ph.CO

Submitted: 2026-01-05

Updated: 2026-09-05

Comments: 44 pages, 13 figures (7 in main text, 6 in appendices), 4 tables (1 in main text, 3 in appendices)

Journal ref: JCAP09(2026)038

DOI: 10.1088/1475-7516/2026/09/038

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Matter Power Spectrum — 22× in this paper · explained in 2 episodes
• Abundance — 17× in this paper · explained in 1 episode
• Accuracy — 11× in this paper · explained in 1 episode
• Clustering — 9× in this paper · explained in 2 episodes
• Benchmarking — 5× in this paper · explained in 3 episodes
• Gravitational Lensing — 4× in this paper · explained in 2 episodes
• Calibration — 3× in this paper · explained in 7 episodes
• N-body simulations — 3× in this paper · explained in 2 episodes
• General Relativity — 2× in this paper
• Generalization — 2× in this paper · explained in 13 episodes
• Quintessence — 2× in this paper · explained in 2 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Baryonic Feedback — 1× in this paper · explained in 3 episodes
• Benchmark — 1× in this paper · explained in 2 episodes
• Core — 1× in this paper · explained in 2 episodes
• Robustness — 1× in this paper · explained in 5 episodes
• Weak Lensing — 1× in this paper · explained in 2 episodes

Sources

• $\texttt{Hi-COLA}$: Fast, approximate simulations of structure formation in Horndeski gravity
• On the road to percent accuracy: nonlinear reaction of the matter power spectrum to dark energy and modified gravity
• On the road to percent accuracy IV: ReACT -- computing the non-linear power spectrum beyond $\Lambda$CDM
• Fast and accurate predictions of the nonlinear matter power spectrum for general models of Dark Energy and Modified Gravity
• Growth of non-linear structures and spherical collapse in the Galileon Ghost Condensate model
• Spherical collapse and halo abundance in shift-symmetric Galileon theory
• Spherical collapse model in dark energy cosmologies
• A comparison of structure formation in minimally and non-minimally coupled quintessence models
• Halo collapse: virialization by shear and rotation in dynamical dark-energy models. Effects on weak-lensing peaks
• Spherical collapse in Generalized Dark Matter models
• On the implementation of the spherical collapse model for dark energy models
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Strong constraints on cosmological gravity from GW170817 and GRB 170817A
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• An Ordinary Short Gamma-Ray Burst with Extraordinary Implications: Fermi-GBM Detection of GRB 170817A
• 50 Years of Horndeski Gravity: Past, Present and Future
• Horndeski theory and beyond: a review
• Effective Field Theory of Cosmic Acceleration: constraining dark energy with CMB data
• How to optimally parametrize deviations from General Relativity in the evolution of cosmological perturbations
• A practical approach to cosmological perturbations in modified gravity

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