paper

Possible cosmogenic neutrino constraints on Planck-scale Lorentz violation

arXiv:0911.0521 · doi:10.1088/1475-7516/2010/02/007

Abstract

We study, within an effective field theory framework, $O(E^{2}/\Mpl^{2})$ Planck-scale suppressed Lorentz invariance violation (LV) effects in the neutrino sector, whose size we parameterize by a dimensionless parameter . We find deviations from predictions of Lorentz invariant physics in the cosmogenic neutrino spectrum. For positive O(1) coefficients no neutrino will survive above $10^{19} \eV$. The existence of this cutoff generates a bump in the neutrino spectrum at energies of $10^{17} \eV$. Although at present no constraint can be cast, as current experiments do not have enough sensitivity to detect ultra-high-energy neutrinos, we show that experiments in construction or being planned have the potential to cast limits as strong as on the neutrino LV parameter, depending on how LV is distributed among neutrino mass states. Constraints on can in principle be obtained with this strategy, but they require a more detailed modeling of how LV affects the neutrino sector.

v1: 19 pages, 5 figures. Submitted to JCAP. v2: minor revisions and a few references added. Accepted by JCAP

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