http://arxiv.org/abs/1708.03068
We have extracted weighted mean values of {\Omega}{mw}=0.296+/-0.008 and H{0w}=68.7+/-0.55 km s-1 Mpc-1 from ten baryon acoustic oscillation (BAO) data sets, found in eight isotropic two point correlation function (2PCF) studies. Those results were obtained using fit-lines to CMB compatible solutions, but are independent of any particular CMB parameter set. Two central assumptions were employed. The first was a {\Lambda}CDM cosmology with {\Omega}{K}~0 and a dark energy equation of state with w ~-1. Second, effects that perturb the BAO correlation function, {\xi}(r), peak position at its co-moving radius of ~150 Mpc, were taken as constant over the small range that the peak is shifted from its fiducial to data position. Those perturbations include non-linearities, galaxy biasing and redshift distortion. That second assumption enables an accurate description of the 2PCF peak shift using a basic format, the Fourier transform of the matter power spectrum modified with the conventional no-wiggle term. The computed correlation function peak location, r{p}, depends upon the damping parameter, k*. We have performed computations with two k* values that give widely disparate r_{p} values, yet find negligible effect on the outcomes. Additional to the parameter evaluations, we demonstrate that contrary to widespread usage, D_{V}(z)/r_{d} does not equal {\alpha}D_{V f}(z)/r_{df}. Here, D_{V}(z) is the volume averaged distance, r_{d} is the acoustic sound horizon at the baryon drag epoch, the subscript, f, refers to fiducial values, and {\alpha} is the correlation function peak shift-parameter.
J. Jayson
Fri, 11 Aug 17
16/45
Comments: 9 pages, 5 figures, 4 tables