Cosmic Neutrinos as a Window to Departures from Special Relativity

Abstract

We review the peculiarities that make neutrinos very special cosmic messengers in high-energy astrophysics, and, in particular, to provide possible indications of deviations from special relativity, as it is suggested theoretically by quantum gravity models. In this respect, we examine the effects that one could expect in the production, propagation, and detection of neutrinos, not only in the well-studied scenario of Lorentz Invariance Violation, but also in models which maintain, but deform, the relativity principle, such as those considered in the framework of Doubly Special Relativity. We discuss the challenges and the promising future prospects offered by this phenomenological window to physics beyond special relativity.

Consistency of Lorentz-invariance violation neutrino scenarios in time delay analyses

“…The other numerical values of the constants that appear in this work are taken from [22]. 6 The previously discussed discrepancy in the value of H 0 (see footnote 5) can produce a correction of ±4% in equations ( 7) and (8).…”

“…In the conventional scenario, their propagation is relatively simple to describe due to minimal interactions with backgrounds. However, when LIV is considered in the neutrino sector, unexpected effects during their propagation can lead to anomalies in the observation of neutrinos at Earth (see [6] for a more extensive review).…”