ner_tags: O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B-Formula I-Formula I-Formula I-Formula I-Formula I-Formula I-Formula I-Formula O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O
tokens: smoothing scales. The error bars are given by the standard deviation from 200 realizations. The 5,10 h 1 Mpc smoothing scale gives similar rms and bias for linear redshift distortion parameter but slightly more bias for larger smoothing. Even though is a nuisance parameter in BAO analysis, it is interesting to observe the value fitted, as it indicates the level at which the redshift corrections are using the right value of the velocity field. The 2 /dof values are very similar between the different smoothing scales explored. Table 4. Best fits for and . Mean and rms from 200 reconstructed QPM mocks. Second block refers to the results using the covariance matrix from 1000 mocks with a fixed smoothing scale of 15 Mpc h 1 . The accuracy in the value is very similar between 5 and 15 h 1 Mpc, but visibly degrades when going to higher smoothing scales. The smaller dispersion for is for 1015 h 1 Mpc; however, the 15 h 1 Mpc is significantly biased (5.3), thus, 10 h 1 Mpc is the best option if we considered only . As we find a relative large bias in 15 h 1 Mpc h 1 Mpc compared to 5, 10, 40 h 1 Mpc, we perform a cross-check between the results using the four smoothing scales as a sanity check. We included in Fig. 5 the dispersions plots of the 15 fits from the mocks, and the R = 5,10, and 40 Mpc h 1 . The legend includes the values of the correlation coefficient in the three cases. The results show that effectively we are using the same set of mocks as they show very high correlation coefficient and that changing the smoothing scale of reconstruction affects slightly the correlation between the results. Figure 5. Dispersion plots of 15 versus 5, 10, 40 . The legend includes the values of the correlation coefficient in the three cases. The large values of the correlation coefficient just show that we are effectively using the same set of mocks for the test and that changing the smoothing scale of reconstruction affects the correlation between the results slightly, but remains large. For , the least significant bias ( b / lower) is for the 5 h 1 Mpc smoothing scale. Considering and simultaneously, the best option is 5 h 1 Mpc which gives the less significant bias with smaller dispersion (0.8 in and 0.9 in ). We find maximal variations in the mean value for best-fitting parameters, 0.5percent for and 0.3percent for , producing D A , H 0.5percent. In the case of , the precision seems to be very similar for the 5 and 15 h 1 Mpc smoothing scales and slightly lower for the 40 h 1 Mpc. The accuracy is also similar for 5 and 15 h 1 smoothing scales and clearly degrades when using a higher smoothing scale. The 2 /dof values are very similar between the different smoothing scales explored. 4 Fig. 6 presents the distributions of the uncertainties for and parameters for different smoothing scales and the quantitative fitting results for the uncertainties are summarized in Table 5 . We can see that the smoothing scale strongly affects the error distributions