Wave Packet Approach to Neutrino Oscillations with Matter Effects

TL;DR

This paper develops a comprehensive wave packet framework incorporating matter effects to improve the accuracy of neutrino oscillation predictions, especially relevant for terrestrial experiments involving Earth matter interactions.

Contribution

It combines wave packet formalism with matter effects to derive a general transition probability expression for multiple neutrinos, including detailed two-neutrino case analysis.

Findings

Derived a general formula for neutrino oscillation probabilities with matter effects.

Analyzed the two-neutrino oscillation case in detail.

Enhanced the theoretical understanding of neutrino oscillations in matter.

Abstract

The complete description of neutrino oscillations require the wave packet treatment. For terrestrial experiments the contribution from the interaction of neutrino with the Earth matter would modify oscillation pattern, i.e., the dependence of the flavor transition probability on baseline $L$ and energy $E$. We thus combine the wave packet approach and the matter effects, in order to have more accurate descriptions of neutrino oscillation. The general expression for the transition probability of oscillations with arbitrary numbers of neutrinos are derived. As an example the two-neutrino oscillation is studied in detail.