Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-11-03
JCAP 1002:007,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
v1: 19 pages, 5 figures. Submitted to JCAP. v2: minor revisions and a few references added. Accepted by JCAP
Scientific paper
10.1088/1475-7516/2010/02/007
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 $\eta_{\nu}$. 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 $\eta_{\nu} \lesssim 10^{-4}$ on the neutrino LV parameter, depending on how LV is distributed among neutrino mass states. Constraints on $\eta_{\nu} < 0$ can in principle be obtained with this strategy, but they require a more detailed modeling of how LV affects the neutrino sector.
Galaverni Matteo
Liberati Stefano
Maccione Luca
Mattingly David M.
Sigl Guenter
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