A Simple Analytic Treatment of Linear Growth of Structure with Baryon Acoustic Oscillations

Abstract

In linear perturbation theory, all information about the growth of structure is contained in the Green's function, or equivalently, transfer function. These functions are generally computed using numerical codes or by phenomenological fitting formula anchored in accurate analytic results in the limits of large and small scale. Here we present a framework for analytically solving all scales, in particular the intermediate scales relevant for the baryon acoustic oscillations (BAO). We solve for the Green's function and transfer function using spherically-averaged overdensities and the approximation that the density of the coupled baryon-photon fluid is constant interior to the sound horizon.

14 pages, 9 figures, submitted MNRAS

References in corpus (3)

• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples
• On the Robustness of the Acoustic Scale in the Low-Redshift Clustering of Matter
• The dark matter transfer function: free streaming, particle statistics and memory of gravitational clustering

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• Modeling the large-scale redshift-space 3-point correlation function of galaxies
• A Practical Computational Method for the Anisotropic Redshift-Space 3-Point Correlation Function
• Constraining the Baryon-Dark Matter Relative Velocity with the Large-Scale 3-Point Correlation Function of the SDSS BOSS DR12 CMASS Galaxies
• Information Content of Higher-Order Galaxy Correlation Functions
• Too hot to handle? Analytic solutions for massive neutrino or warm dark matter cosmologies
• Accelerating BAO Scale Fitting Using Taylor Series