Constraining Vera C.Rubin Observatory's sensitivity on axion fraction at different axion masses

Axions are possible candidates for dark matter and dark energy that affect the CMB acoustic peaks. We stimulated three-dimensional matter power spectra under different axion fractions and axion masses with the open sourced code axionCAMB. We converted the simulated matter power spectra into two-dimensional angular power spectra using the Limber approximation while creating six bins for the possible red-shifts and taking account of cosmic variance and the shot noise from the discrete measurements of the continuous density field of galaxies. Using fisher matrix analysis on the angular power spectra, we estimated the constrains on Vera C. Rubin Observatory's sensitivity on axion fraction at different axion masses.