  We use the non-equilibrium bosonization technique to study the effects of
Coulomb interactions in mesoscopic electron colliders based on quantum Hall
(QH) edge states at filing factor $\nu = 2$. The current cross-correlations and
Fano factor, which carry the information about the exclusion statistics, are
calculated. It is shown that both these quantities have a non-analytical
dependence on the source transparency, which scales as $\log(1/T_s)$ at small
$T_s \ll 1$. This is the consequence of electron-electron interactions in the
outgoing non-equilibrium states of the collider.
