The impact of wrong assumptions in BAO reconstruction

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

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