Neutrino Dispersion Relations from a Dark Energy Model

Abstract

We consider a model in which the neutrino is kinetically coupled to a scalar �eld and study its implications for environmentally dependent neutrino velocities. Following the usual effective �eld theory logic, this coupling is expected to arise in neutrino dark energy models. It leads to a Lorent� violation in the neutrino sector. e coupling of the scalar �eld to the stress tensor of the Earth yields terrestrial neutrino dispersion relations distinct from those in interstellar space.

Neutrino oscillations in dark backgrounds

“…Hence, existing atmospheric neutrino experiments already have a sensitivity comparable to the next generation of long baseline neutrino experiments, and we expect that future atmospheric data will only improve. 9 The smaller SM background at high E is the reason why astrophysical neutrinos are often suggested as the best probes for Lorentz Violating interactions, see e.g. [25,26].…”

“…The former 8 With the same dataset, constraints of comparable order of magnitude may actually be obtained on the diagonal terms aαα and b as well, although these were not considered in that reference. 9 For solar neutrinos the baseline is so large that the flux reaching the earth has completely lost its coherence and the new physics signature is encoded in an effective angle of order |δV eff |E/∆m 2 ∼ 10 −2 |δV eff |/(10 −23 GeV), resulting on a deviation from the SM that is too small to be detected in current and future facilities. We thus conclude that solar data are not so very promising either.…”

“…Earlier work has constrained interactions between neutrinos and the dark world, see e.g. [3,[3][4][5][6][7][8][9][10][11][12][13][14]. However, our paper is unique in recognizing the pivotal role of neutrino oscillation experiments in probing light and weakly-coupled dark sectors, analyzing the effect of dipole interactions, and emphasizing the key role of atmospheric data.…”