A new parametrization of Hubble parameter and Hubble tension

We present a new Hubble parameterization method and employ observational data from Hubble, Pantheon, and Baryon Acoustic Oscillations to constrain model parameters. The proposed method is thoroughly validated against these datasets, demonstrating a robust fit to the observational Hubble, Pantheon, and BAO data. The obtained best-fit values are H₀ = 67.5+1.3-1.6 km s⁻¹ Mpc⁻¹, Ωₘ₀ = 0.2764±0.0094, and α = 0.33±0.22, consistent with the Planck 2018 results, highlighting the existence of Hubble tension.