Advancing Analytic Halo Mass Function Models Through Large-Scale Cosmological Simulations
DOI:
https://doi.org/10.62051/7vkpkn79Keywords:
Cosmology; Dark Matter; Galaxy Cluster; Halo Mass Function; Analytic modeling.Abstract
We develop an analytic halo mass function (HMF) framework calibrated on the comprehensive Abacus-Summit simulations, achieving 2–3% accuracy for CDM ( 5% for extended cosmologies with massive neutrinos, evolving dark energy, and modified power spectra) across and . Unlike universal forms limited to CDM, our MCMC-optimized model explicitly incorporates redshift and cosmology dependence while maintaining physical interpretability. The analytic formulation enables application to new physics without costly retraining, complementing more precise but less flexible emulator-based approaches. We quantify systematic uncertainties from resolution effects, sample variance, and mass definitions, and outline future improvements through symbolic regression. This work provides a robust tool for cosmological tests with galaxy clusters and large-scale structure at percent-level precision.
Downloads
References
[1] Weinberg, S. 1972, 688.
[2] Smoot, G. F., Bennett, C. L., Kogut, A., et al. 1992, Astrophysical Journal Letters, 396, L1. doi:10.1086/186504. DOI: https://doi.org/10.1086/186504
[3] Bennett, C. L., Halpern, M., Hinshaw, G., et al. 2003, Astrophysical Journal Supplement Series, 148, 1, 1. doi:10.1086/377253. DOI: https://doi.org/10.1086/377253
[4] Pang, Y.-H., Zhang, X., & Huang, Q.-G. 2025, Journal of Cosmology and Astroparticle Physics, 2025, 4, 057. doi: 10.1088/1475-7516/2025/04/057. DOI: https://doi.org/10.1088/1475-7516/2025/04/057
[5] Kushnir, D. & Sharon, A. 2025, Monthly Notices of the Royal Astronomical Society, 538, 4, 2838. doi: 10.1093/mnras/staf431. DOI: https://doi.org/10.1093/mnras/staf431
[6] DESI Collaboration, Abdul-Karim, M., Aguilar, J., et al. 2025, arXiv: 2503.14738. doi: 10.48550/arXiv.2503.14738
[7] Wright, A. H., Kuijken, K., Hildebrandt, H., et al. 2024, Astronomy & Astrophysics, 686, A170. doi: 10.1051/0004-6361/202346730. DOI: https://doi.org/10.1051/0004-6361/202346730
[8] Bechtol, K., Sevilla-Noarbe, I., Drlica-Wagner, A., et al. 2025, arXiv: 2501.05739. doi: 10.48550/arXiv.2501.05739.
[9] Wright, A. H., Stölzner, B., Asgari, M., et al. 2025, arXiv: 2503.19441. doi: 10.48550/arXiv.2503.19441.
[10] Norman, M. L. 2010, arXiv: 1005.1100. doi: 10.48550/arXiv.1005.1100.
[11] Kravtsov, A. V. & Borgani, S. 2012, Annual Review of Astronomy and Astrophysics, 50, 353. doi: 10.1146/annurev-astro-081811-125502. DOI: https://doi.org/10.1146/annurev-astro-081811-125502
[12] Vikhlinin, A., Kravtsov, A. V., Burenin, R. A., et al. 2009, Astrophysical Journal, 692, 2, 1060. doi: 10.1088/0004-637X/692/2/1060. DOI: https://doi.org/10.1088/0004-637X/692/2/1060
[13] Umetsu, K. 2020, Astronomy and Astrophysics Review, 28, 1, 7. doi: 10.1007/s00159-020-00129-w. DOI: https://doi.org/10.1007/s00159-020-00129-w
[14] Ansarifard, S., Rasia, E., Biffi, V., et al. 2020, Astronomy & Astrophysics, 634, A113. doi: 10.1051/0004-6361/201936742. DOI: https://doi.org/10.1051/0004-6361/201936742
[15] Carlstrom, J. E., Holder, G. P., & Reese, E. D. 2002, Annual Review of Astronomy and Astrophysics, 40, 643. doi: 10.1146/annurev.astro.40.060401.093803. DOI: https://doi.org/10.1146/annurev.astro.40.060401.093803
[16] Voit, G. M. 2005, Reviews of Modern Physics, 77, 1, 207. doi: 10.1103/RevModPhys.77.207. DOI: https://doi.org/10.1103/RevModPhys.77.207
[17] Bocquet, S., Dietrich, J. P., Schrabback, T., et al. 2019, Astrophysical Journal, 878, 1, 55. doi: 10.3847/1538-4357/ab1f10. DOI: https://doi.org/10.3847/1538-4357/ab1f10
[18] Laureijs, R., Amiaux, J., Arduini, S., et al. 2011, arXiv: 1110.3193. doi: 10.48550/arXiv.1110.3193.
[19] Costanzi, M., Villaescusa-Navarro, F., Viel, M., et al. 2013, Journal of Cosmology and Astroparticle Physics, 2013, 12, 012. doi: 10.1088/1475-7516/2013/12/012. DOI: https://doi.org/10.1088/1475-7516/2013/12/012
[20] Villaescusa-Navarro, F., Hahn, C., Massara, E., et al. 2020, Astrophysical Journal Supplement Series, 250, 1, 2. doi: 10.3847/1538-4365/ab9d82. DOI: https://doi.org/10.3847/1538-4365/ab9d82
[21] Garrison, L. H., Eisenstein, D. J., Ferrer, D., et al. 2021, Monthly Notices of the Royal Astronomical Society, 508, 1, 575. doi: 10.1093/mnras/stab2482. DOI: https://doi.org/10.1093/mnras/stab2482
[22] Heitmann, K., Bingham, D., Lawrence, E., et al. 2016, Astrophysical Journal, 820, 2, 108. doi: 10.3847/0004-637X/820/2/108. DOI: https://doi.org/10.3847/0004-637X/820/2/108
[23] Nishimichi, T., Takada, M., Takahashi, R., et al. 2019, Astrophysical Journal, 884, 1, 29. doi: 10.3847/1538-4357/ab3719. DOI: https://doi.org/10.3847/1538-4357/ab3719
Downloads
Published
Issue
Section
License
Copyright (c) 2025 Transactions on Computer Science and Intelligent Systems Research
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
