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The halo model for cosmology: a pedagogical review

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arxiv 2303.08752 v2 pith:M6EG6EM6 submitted 2023-03-15 astro-ph.CO astro-ph.GA

classification astro-ph.COastro-ph.GA
keywords halomodelnon-linearmatterreviewbiascalculationsdark
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abstract

We present a pedagogical review of the halo model, a flexible framework that can describe the distribution of matter and its tracers on non-linear scales for both conventional and exotic cosmological models. We start with the premise that the complex structure of the cosmic web can be described by the sum of its individual components: dark matter, gas, and galaxies, all distributed within spherical haloes with a range of masses. The halo properties are specified through a series of simulation-calibrated ingredients including the halo mass function, non-linear halo bias and a dark matter density profile that can additionally account for the impact of baryon feedback. By incorporating a model of the galaxy halo occupation distribution, the properties of central and satellite galaxies, their non-linear bias and intrinsic alignment can be predicted. Through analytical calculations of spherical collapse in exotic cosmologies, the halo model also provides predictions for non-linear clustering in beyond-$\Lambda$CDM models. The halo model has been widely used to model observations of a variety of large-scale structure probes, most notably as the primary technique to model the underlying non-linear matter power spectrum. By documenting these varied and often distinct use cases, we seek to further coherent halo model analyses of future multi-tracer observables. This review is accompanied by the release of pyhalomodel: https://github.com/alexander-mead/pyhalomodel , flexible software to conduct a wide range of halo-model calculations.

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Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 65 citations worldwide. Full citation record

  1. Interpreting the stacked kinetic SZ effect I: velocity reconstruction and non-linear velocity effects

    astro-ph.CO 2026-07 conditional novelty 7.0 of 10

    Non-linear velocity terms cancel in real-space linear reconstruction, but redshift-space distortions reintroduce a 10–20% small-scale suppression of the stacked kSZ signal.

  2. CHEFT: A Hybrid Effective Field Theory halo model

    astro-ph.CO 2026-07 conditional novelty 6.0 of 10

    CHEFT recovers matter power to percent level and weighted tracers to ~3–5% by expressing the halo-halo spectrum as a sum of collapsed HEFT operators with probabilistic mass-dependent biases.

  3. HETDEX [OII] galaxies at $z \le 0.48$: Volume-limited samples and their power spectra

    astro-ph.CO 2026-07 accept novelty 6.0 of 10

    Volume-limited HETDEX [OII] samples at z≤0.48 yield power spectra matching Planck-ΛCDM mocks with characteristic halo masses log(M0)≈11.9–12.3 and M0∝L^0.37.

  4. Mock Catalogs of Strongly Lensed Gravitational Waves via A Halo Model Approach with Ground-based Detectors

    astro-ph.CO 2026-03 accept novelty 6.0 of 10

    Composite-halo mock catalogs forecast ~400 doublets + 36 quadruplets (plus ~107 subhalo and ~20 central-image systems) of lensed GWs per year for ET+CE and release the GW-LMC catalog.

  5. Evolution mapping III: A new recipe for the halo mass function

    astro-ph.CO 2025-11 conditional novelty 6.0 of 10

    A new 9-parameter fitting function for the halo mass function, using the integrated growth history (x-tilde) and effective spectral index (n_eff), reaches 1–5% accuracy across a wide range of cosmologies and overdensi...

  6. Cosmological feedback from a halo assembly perspective

    astro-ph.CO 2025-05 conditional novelty 6.0 of 10

    Baryonic feedback imprints on cosmological observables are governed by halo mass assembly: feedback is most efficient at M200m around 10^12.8 solar masses regardless of redshift.

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