Figure 1

Comparison of the effects of a PMF and finite-mass neutrinos on the matter power spectrum. The left panel is for the full power spectrum on scales $0.01{\mathrm{Mpc}}^{-1}<k/h<0.2{\mathrm{Mpc}}^{-1}$ and various parameters as labeled. The right panel shows the expanded spectrum in the range of $0.1{\mathrm{Mpc}}^{-1}<k/h<0.2{\mathrm{Mpc}}^{-1}$. Curves and dots with error bars in all panels are as indicated in the legend box. In order to better illustrate the effects of a PMF and a finite neutrino mass on the matter power spectrum, we have utilized a larger value for the PMF amplitude $B_{\lambda }$. This figure shows that the matter power spectrum for $k/h>0.1{\mathrm{Mpc}}^{-1}$ is affected strongly by a PMF. The magnitude of the effect depends on both the PMF amplitude $B_{\lambda }$ and the power spectral index $n_{\mathrm{B}}$. On the other hand, the mass of the neutrinos decreases the total amplitude of the matter power spectrum. Also, the effects of a neutrino mass for smaller scales (large wave number $k$) are greater than for larger scales (small $k$).Reuse & Permissions

Figure 2

Excluded and allowed regions in the parameter plane of PMF amplitude $B_{\lambda }$ vs mass of neutrinos $\sum _{N_{\nu }=3}{m}_{\nu }$. Shaded regions in all panels are allowed by the indicated ranges for ${\sigma }_8$ and $B_{\lambda }$. Various panels are for the indicated values of the PMF power-law spectral index $n_{\mathrm{B}}$.Reuse & Permissions