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 $E^2 =p^2+ ξ_n p^n$ correction due to Lorentz invariance violation. We find that for $n>2$ the bounds on $ξ_n$ from direct time of flight measurement are much more stringent than from constraining the neutrino Cerenkov decay process.

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