The impact of wrong assumptions in BAO reconstruction

The process of density field reconstruction enhances the statistical power of scale measurements using baryon acoustic oscillations (BAO). During process a fiducial cosmology is assumed in order to convert sky and redshifts into distances; fiducial bias and-space-distortion parameters are also assumed in this procedure. We assess the impact of incorrect cosmology and bias assumptions on post-reconstruction power spectra using low-order Lagrangian perturbation, deriving general expressions for the incorrectly reconstructed spectra. find that the BAO peak location appears to shift only by a negligible amount to wrong assumptions made during reconstruction. However, the shape of the peak and the quadrupole amplitude can be affected by such errors (at the- and five-percent-level respectively), which potentially could cause biases in parameter inference for future surveys; we outline solutions to complications.