Eyal Kazin edited reconstructed_wedges.tex  almost 10 years ago

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To overcome edge effects and holes within the survey, we apply a Weiner filter procedure similar to that presented in \citet{Padmanabhan_2012}. For full details of the procedure please refer to \S 2.3 in \cite{Kazin_2014}.   Here we examine implications of the reconstruction technique on the WiggleZ anistropic baryonic signature.   Figure \ref{fig:z60_model_figure} displays our results for the clustering wedges $\xi_{||}$ (line-of-sight; red circles) and $\xi_{\perp}$ (transverse; blue circles) squares)  in the three redshift ranges investigated $\Delta z^{\rm Near}$, $\Delta z^{\rm Mid}$ and $\Delta z^{\rm Far}$ with best fit models of $\chi^2=35.3, \ 24.8, \ 34.4$ with 36 dof, respectively. We clearly see baroynic acoustic signatures in both $\xi_{\perp}$ and $\xi_{||}$ of all three redshift ranges. The reason that there is no apparent gap as in the pre-reconstruction case, is that the reconstruction procedure corrects for the Kaiser-effect (cite Kaiser) by adding a line-of-sight term correction to $\vec{\psi}$, which envolves estimating the rate of growth of structure $f$ and linear bias $b$ in Equation 3 of \cite{Kazin_2014}.   To quantify the significant of detection of the anisotropic baryonic feature in the WiggleZ clustering wedges we compare $\chi^2$ results obtained with best fit models using a $\Lambda$CDM-based template to a ``no-wiggle"-based template, i.e, one with full shape and no baryonic feature \cite{Eisenstein_1998} ($\Delta\chi^2\equiv \chi^2_{\rm min \ no-wiggle}-\chi^2_{\rm min \ \Lambda CDM}$). In this procedure, for each model we vary $H r_{\rm s}$ and $D_{\rm A}/r_{\rm s}$ and marginalize over all other shape parameters, as explained in detail in \S 6.1 of \citet{Kazin_2013}. We find that the significance of detection, defined as $\sqrt{\Delta\chi^2}$, for $\Delta z^{\rm Near}$, $\Delta z^{\rm Mid}$ and $\Delta z^{\rm Far}$ to be $1.6, \ 2.7$ and $2.9$, respectively