considerably higher errors.

In the case of low mass halos ($M\simeq 10^{10}h^{-1}M_{\odot}$) in the 2-halo term regime (diamonds in Figure \[fig:rat3d\]), the alignment signal is the opposite to that of higher mass haloes (a $10\pm5\%$ effect). This anti-alignment signal fits in well with the overall tendency for this quotient $\xi_\parallel/\xi_\perp$ to increase with mass, which can be fit by a log-linear relation which crosses the unit value at $M\simeq10^{12}h^{-1}M_{\odot}$. This mass limit suggest a change in the alignment signal in qualitative agreement (regarding the alignment direction) with results on simulations by @Hahn1, with masses above and below the typical mass scale for collapse $M_*=5.5\times10^{12.5}h^{-1}M_{\odot}$ at $z=0$. The best-fit log-linear relation for the 2-halo term results is shown in Figure \[fig:rat3d\] (dash dotted line), and corresponds to, $$\xi_\parallel/\xi_\perp = (0.95\pm0.01) + (0.082\pm0.008) *[log_{10}(M)-11.5]\,\,$$ For the 1-halo term, the dependence of alignment on mass is well adjusted by (dashed line on Figure \[fig:rat3d\]), $$\xi_\parallel/\xi_\perp = (0.95\pm0.01) + (0.082\pm0.008) *[log_{10}(M)-11.5]\,\,$$

The 2-halo term effect can be understood within the framework of TTT, specially for the high mass haloes, which readily show that their angular momentum is perpendicular to the present-day mass distribution. It seems that for high enough mass haloes, the local large-scale 