Alleviating the Hubble tension using the Barrow holographic dark energy cosmology with Granda-Oliveros IR cut-off

In this study, we investigate the Barrow holographic dark energy (BHDE) model with the Granda-Oliveros(G-O) infrared (IR) cut-off in the presence of neutrino masses, utilizing the latest observational data to address the Hubble tension. The GO cut-off is defined as L-IR =(alpha H-2 + beta(H)over dot)(-1/2). We place constraints on the total neutrino mass Sigma m(nu) using data from Type Ia supernovae (SN) Pantheon, cosmic chronometers (CC), cosmic microwave background (CMB), Baryon Acoustic Oscillation (BAO) data sets, and Planck Lensing. Specifically, the comprehensive CMB + BAO + CC + Pantheon data set provides a total neutrino mass of 0.118 eV. The parameters for the Barrow-GO model are determined to be Delta = 0.0055(-0.0086)(+0.0086), alpha = 0.997(-0.060)(+0.060), and beta = 0.598(-0.080)(+0.080), showing good agreement with previous studies. One of the key findings of this study is the model's ability to alleviate the Hubble tension, as evidenced by the comparison of H-0 measurements. Specifically, the tension value for the combination of data set (CMB + BAO + CC + Pantheon + Lensing) is 1.5 sigma with the Planck 2018 and 1.4 sigma with R22. These results underscore the importance of multi-data set integration in refining constraints on neutrino properties and highlight the model's efficacy in probing fundamental aspects of neutrino physics. Our results demonstrate that the BHDE model with the GO cut-off can effectively address the Hubble tension, offering a coherent framework that reconciles local and cosmological measurements of the Hubble constant.