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Advancing Analytic Halo Mass Function Models Through Large-Scale Cosmological Simulations

Jiaye Miao
pp.219-242 DOI: 10.62051/7vkpkn79 December 25, 2025
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Abstract: We develop an analytic halo mass function (HMF) framework calibrated on the comprehensive Abacus-Summit simulations, achieving 2–3% accuracy for Λ CDM (≲ 5% for extended cosmologies with massive neutrinos, evolving dark energy, and modified power spectra) across 1011--1015M⊙  and 0<z<3 . Unlike universal forms limited to Λ 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.
Keywords: Cosmology; Dark Matter; Galaxy Cluster; Halo Mass Function; Analytic modeling.
APA Citation: Jiaye Miao (2025). Advancing Analytic Halo Mass Function Models Through Large-Scale Cosmological Simulations. Transactions on Computer Science and Intelligent Systems Research, 11(1), 219-242. https://doi.org/10.62051/7vkpkn79

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.
  3. Bennett, C. L., Halpern, M., Hinshaw, G., et al. 2003, Astrophysical Journal Supplement Series, 148, 1, 1. doi: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.
  5. Kushnir, D. & Sharon, A. 2025, Monthly Notices of the Royal Astronomical Society, 538, 4, 2838. doi: 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.
  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.
  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.
  13. Umetsu, K. 2020, Astronomy and Astrophysics Review, 28, 1, 7. doi: 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.
  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.
  16. Voit, G. M. 2005, Reviews of Modern Physics, 77, 1, 207. doi: 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.
  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.
  20. Villaescusa-Navarro, F., Hahn, C., Massara, E., et al. 2020, Astrophysical Journal Supplement Series, 250, 1, 2. doi: 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.
  22. Heitmann, K., Bingham, D., Lawrence, E., et al. 2016, Astrophysical Journal, 820, 2, 108. doi: 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.