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Abstract: We study, within an effective field theory framework, $OE^{2}-\Mpl^{2}$Planck-scale suppressed Lorentz invariance violation LV effects in theneutrino sector, whose size we parameterize by a dimensionless parameter$\eta { u}$. We find deviations from predictions of Lorentz invariant physicsin the cosmogenic neutrino spectrum. For positive O1 coefficients no neutrinowill survive above $10^{19} \eV$. The existence of this cutoff generates a bumpin the neutrino spectrum at energies of $10^{17} \eV$. Although at present noconstraint can be cast, as current experiments do not have enough sensitivityto detect ultra-high-energy neutrinos, we show that experiments in constructionor being planned have the potential to cast limits as strong as $\eta { u}\lesssim 10^{-4}$ on the neutrino LV parameter, depending on how LV isdistributed among neutrino mass states. Constraints on $\eta { u} < 0$ can inprinciple be obtained with this strategy, but they require a more detailedmodeling of how LV affects the neutrino sector.



Autor: David M. Mattingly New Hampshire University, Luca Maccione DESY, Matteo Galaverni INAF-IASF, Bologna, Stefano Liberati SISSA and

Fuente: https://arxiv.org/







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