Phenomenology of neutrino mixing in vacuum and matter

TL;DR

This paper revisits neutrino oscillation phenomena, analyzing flavor transition probabilities in vacuum and matter for different hierarchies using fundamental quantum mechanics, providing detailed plots and discussions.

Contribution

It offers a comprehensive quantum mechanical analysis of neutrino oscillations considering both hierarchies and environments, with detailed probability calculations and visualizations.

Findings

Oscillation probabilities vary with hierarchy and environment.

Both solar and atmospheric neutrino cases are analyzed.

Plots illustrate the effects of matter on neutrino oscillations.

Abstract

Neutrino oscillation is the new physics beyond standard model. In this paper we have revisited the issue of neutrino oscillation in simple and delicate manner. Starting from the fundamental quantum mechanical treatment for the neutrinos, we calculated the probabilities for the neutrino oscillating within three flavors. Normal and inverted hierarchy have been taken into account for the solar and atmospheric cases, in vacuum and matter. The probabilities have been plotted for all the cases and discussed.