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Eyal Kazin edited reconstructed_wedges.tex
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We run MC-Markov chains when fitting the models to the data while varying $D_{\rm A}/r_{\rm s}$ and $1/H/r_{\rm s}$ with flat prior between [0.5,1.5] of their fiducial cosmology values. In addition we vary for each clustering wedge and amplitude parameter and three polynomial terms each, yielding 10 parameters in total (2+2+2X3). In the results presented here we marginalize over these last eight parameters. A full detailed description of the procedure is given in our previous analysis of the SDSS DR9 CMASS galaxies \citet{Kazin_2013} (see \S 5.3).
We first examine our results on the simulations. Figure (REFER) demonstrates results on simulations of the $\Delta z^{\rm choose}$ slice, which is chosen for ... reason ...
In Figure REF we present our results of $\alpha_{||}$, $\alpha_{\perp}$ modes and in Figure REF their uncertainties.
Besides the 50\% priors on $\alpha_{||}$, $\alpha_{\perp}$ mentioned above, we also investigate priors on their combinatoins which we hereon perscribe as $\epsilon$ ($\epsilon \sim 1/H/D_{\rm A}$) and $\alpha \sim D_{\rm A}^2/H$).
Due to these limitations of the data to constrain the parameter space, here we present results both without (Figure REF) and with (Figure REF) a top-hat prior of 15\% on $\epsilon$ ($\epsilon \sim 1/H/D_{\rm A}$).
%We find that a broad top-hat prior of 25\% on $\alpha$ does not improve our results ($\alpha \sim D_{\rm A}^2/H$).