Abstract
Neutrino oscillations are a possible way to probe beyond Standard Model physics. The propagation of Dirac neutrinos in a massive medium is governed by the Dirac equation modified with an effective Hamiltonian that de- pends on the number density of surrounding matter fields. At the same time, quantum nonlinearities may contribute to neutrino oscillations by further mod- ifying the Dirac equation. A possible nonlinearity is computationally studied using Mathematica at low energies. We find that the presence of a uniform, static background matter distribution may significantly alter the oscillation am- plitude and wavelength; the considered nonlinearity may further reduce both oscillation amplitude and wavelength. In addition, the presence of matter al- lows the effects of the nonlinearity to be more readily observed for the chosen background densities and neutrino energy.
Highlights
Neutrino oscillations are largely regarded as quantum phenomena arising from the mixing between mass and flavour eigenstates
The information measure is minimal when the nonlinearity is extremized to obtain the equations of motion
The results are presented in the following manner: matter interaction only, nonlinearity only, and both matter and nonlinearity
Summary
Neutrino oscillations are largely regarded as quantum phenomena arising from the mixing between mass and flavour eigenstates. In the presence of surrounding matter, neutrino oscillations would be affected by charged and neutral current interactions. Neutrino phenomena present interesting avenues for probing nonstandard physics, such as quantum nonlinearities. These nonlinearities may be crafted via information-theoretic considerations, and function as effective theories; such nonlinearities may manifest as modifications to the effective equations of motion; alternatively, they may occur at the level of the Lagrangian. We consider both matter effects and quantum nonlinearities using a computational model
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