  This work explores the possibility of resorting to neutrino phenomenology to
detect evidence of new physics, caused by the residual signals of the supposed
quantum structure of spacetime. In particular, this work investigates the
effects on neutrino oscillations and mass hierarchy detection, predicted by
models that violate Lorentz invariance, preserving the spacetime isotropy and
homogeneity. Neutrino physics is the ideal environment where conducting the
search for new "exotic" physics, since the oscillation phenomenon is not
included in the original formulation of the minimal Standard Model (SM) of
particles. The confirmed observation of the neutrino oscillation phenomenon is,
therefore, the first example of physics beyond the SM and can indicate the
necessity to resort to new theoretical models. In this work, the hypothesis
that the supposed Lorentz Invariance Violation (LIV) perturbations can
influence the oscillation pattern is investigated. LIV theories are indeed
constructed assuming modified kinematics, caused by the interaction of massive
particles with the spacetime background. This means that the dispersion
relations are modified, so it appears natural to search for effects caused by
LIV in physical phenomena governed by masses, as in the case of neutrino
oscillations. In addition, the neutrino oscillation phenomenon is interesting
since there are three different mass eigenstates and in a LIV scenario, which
preserves isotropy, at least two different species of particle must interact.
