Up-down atmospheric neutrino flux asymmetry predictions for various neutrino oscillation scenarios

We compute up-down asymmetries for atmospheric neutrino induced electron and muon events in the SuperKamiokande detector for the following neutrino oscillation models: (A) maximally mixed $\nu_{\mu} - \nu_{\tau}$ or $\nu_{\mu} - \nu_s$, (B) maximally mixed $\nu_{\mu} - \nu_e$, (C) threefold maximal mixing between $\nu_e, \nu_{\mu}$ and $\nu_{\tau}$, and (D) neutrino oscillations via Equivalence Principle or Lorentz invariance violation. We emphasise the role of different momentum cuts.