Halo Nonlinear Reconstruction

We apply the nonlinear reconstruction method to simulated halo fields. For halo number density 2.77 × {10}^-2 {({h}^-1{Mpc})}^-3 at z = 0, corresponding to the SDSS main sample density, we find that the scale where the noise saturates the linear signal is improved to k≳ 0.36 h {{Mpc}}^-1, which is a factor of 2.29 improvement in scale, or 12 in number of linear modes. The improvement is less for higher redshift or lower halo density. We expect this to substantially improve the BAO accuracy of dense, low-redshift surveys, including the SDSS main sample, 6dFGS and 21 cm intensity mapping initiatives.