Neutrino processes with power law dispersion relations

We compute various processes involving neutrinos in the initial and/or final state and we assume that neutrinos have energy momentum relation with a general power law $E^2 =p^2+ \xi_n p^n$ correction due to Lorentz invariance violation. We find that for $n>2$ the bounds on $\xi_n$ from direct time of flight measurement are much more stringent than from constraining the neutrino Cerenkov decay process.