Investigation of the Cosmological Parameter σ8 Using BAO, SN Ia, and RSD Data
cosmology, dark matter halos, numerical methods, large-scale structure of the universe.
This paper investigates the cosmological parameter σ8, the standard deviation of matter density fluctuations within
spheres of radius 8 Mpc, which is essential for characterizing the power spectrum of mass fluctuations and crucial for large
structure simulations. In this context, we will analyze σ8 in the σ8 - Ωm plane, using a Halo Mass Function (HMF) with recent
data from the literature. To reduce the degeneracy of σ8, we will use data from Baryon Acoustic Oscillations (BAO), Type Ia
Supernovae (SN Ia), and Redshift Space Distortions (RSD) to mitigate the discrepancy pointed out by the Planck satellite
regarding low-redshift probes. This study offers an alternative and complementary approach for determining σ8, providing a
precise estimate without relying exclusively on large structures or the Cosmic Microwave Background (CMB), contributing to
a more refined understanding of cosmological parameters and advancing theories of structure formation in the universe.