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We present a method for extracting the angular diameter distances, $D_A$, andthe expansion rates, $H$, of the universe from the {\it two-dimensional} BaryonAcoustic Oscillations (BAO) in the galaxy power spectrum. Our method buildsupon the existing algorithm called the "fit-and-extract" (FITEX) method, whichallows one to extract only $D_A^2/H$ from a spherically averagedone-dimensional power spectrum. We develop the FITEX-2d method, an extension ofthe FITEX method, to include the two-dimensional information, which allows usto extract $D_A$ and $H$ simultaneously. We test the FITEX-2d method using theMillennium Simulation as well as simplified Monte Carlo simulations with abigger volume. The BAOs, however, contain only a limited amount of information.We show that the full modeling, including the overall shape of the powerspectrum, yields much better determinations of $D_A$ and $H$, hence the darkenergy equation of state parameters such as $w_0$ and $w_a$, than the BAO-onlyanalysis by more than a factor of two, provided that non-linear effects areunder control.

astrophysical journal/the astrophysical journal

Extracting Angular Diameter Distance and Expansion Rate of the Universe  from Two-dimensional Galaxy Power Spectrum at High Redshifts: Baryon Acoustic  Oscillation Fitting versus Full Modeling