Nonlinear Behavior of Baryon Acoustic Oscillations from the Zeldovich Approximation Using a Non-Fourier Perturbation Approach

Details Nonlinear Behavior of Baryon Acoustic Oscillations from the Zeldovich Approximation Using a Non-Fourier Perturbation Approach Nonlinear Behavior of Baryon Acoustic Oscillations from the Zeldovich Approximation Using a Non-Fourier Perturbation Approach

May 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011aas...21823405m&link_type=abstract

American Astronomical Society, AAS Meeting #218, #234.05; Bulletin of the American Astronomical Society, Vol. 43, 2011

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Baryon acoustic oscillations have become the favored technique to constrain the properties of dark energy in the Universe. In order to accurately characterize the equation of state, we must understand the effects of both the non-linearities and redshift space distortions on the location and strength of the acoustic peak. Here, we consider these effects using the Zel'dovich approximation and a novel approach to 2nd order perturbation theory. Linear theory predicts that the correlation function, and its Fourier transform, the power spectrum, grow as the square of the growth factor, D(t). The next term in the expansion may have a non-negligible contribution at later times. In the Zel'dovich approximation, the second order term is built from convolutions of the power spectrum with polynomial kernels in Fourier space. This suggests that it may be possible to write the correlation function as a sum of second order products of a broader class of correlation functions, expressed through simple spherical Bessel transforms of the power spectrum. We show how to systematically perform such a computation. We explicitly prove that our result is the Fourier transform of the Fourier space result by Valageas (2010). Next we illustrate the benefit of writing the non-linear expansion in configuration space, as this calculation is more easily extended to redshift space than the Fourier space result. Finally, we compare our expressions to numerical simulations.

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