Astronomy and Astrophysics – Astronomy
Scientific paper
Jan 2012
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012aas...21933605m&link_type=abstract
American Astronomical Society, AAS Meeting #219, #336.05
Astronomy and Astrophysics
Astronomy
Scientific paper
Baryon acoustic oscillations have become the favored technique to measure and constrain the properties of dark energy. An accurate model of the effects of both non-linearities and redshift-space distortions on the location and strength of the acoustic peak is necessary in order to characterize the equation of state of dark energy. Here, we consider non-linearities and redshift-space distortions using the Zel'dovich approximation and a novel approach to 2nd order perturbation theory. Linear theory predicts that the power spectrum grows as the square of the growth factor, D(t). However, higher-order terms may have a non-negligible contribution at later times, as the acoustic scale is in the mildly non-linear regime at low redshift. It is necessary to understand the effect of the coordinate transformation from real to redshift space on these higher-order terms. In the Zel'dovich approximation, the second-order term of the power spectrum is built from convolutions of the linear power spectrum with polynomial kernels in Fourier space. We show that in configuration space, this term can be written as a sum of second order products of a broader class of correlation functions, expressed through simple spherical Bessel transforms of the linear power spectrum. Next we demonstrate how this expression can be straightforwardly transformed to redshift space. Finally, we compare our expressions to numerical simulations.
McCullagh Nuala
Szalay Alex S.
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