the redshift $\overline{z}$ (the mean value of the data in the redshift bin, of width $\delta z$, in study). In the case of the 2D analysis, the BAO signature in the 2PACF comes from the quasars displayed along circles, or quasi circles, located in the transversal plane (the plane perpendicular to the line-of-sight). This means that, in the 2D analysis, one is assuming that all quasars in the redshift bin are projected onto the plane with redshift $\overline{z}$. The projection effect produced by this assumption has been studied in detail (see, e.g., [@Sanchez11; @Carvalho]) and the net result is a shift in the angular position of the BAO bump, that can be estimated using numerical analysis. Sánchez et al. (2011) have shown that for small $\delta z$ values and for data at $\overline{z} > 2$, which is our case, the dependence of the shift on the cosmological parameters is negligible. In the following section we perform such detailed numerical analysis that confirms this prediction for our quasars sample.

The dependence of the angular BAO scale with the fiducial model
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To compute the dependence of the angular BAO scale with the fiducial cosmology one has to perform a numerical integration 