Current cross correlations in a quantum Hall collider at filling factor two

We use the nonequilibrium bosonization technique to study the effects of Coulomb interactions in mesoscopic electron colliders based on quantum Hall edge states at filling factor $\ensuremath{\nu}=2$. 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 nonanalytical dependence on the source transparency, which scales as $log(1/{T}_s)$ at small ${T}_s\ensuremath{\ll}1$. This is a consequence of electron-electron interactions in the outgoing nonequilibrium states of the collider.