Neutrino Oscillations With Two Sterile Neutrinos

TL;DR

This paper extends the calculation of muon to electron neutrino oscillation probabilities to include two sterile neutrinos using a 5x5 mixing matrix, building on previous models with one sterile neutrino.

Contribution

It introduces a new 5x5 U-matrix model for neutrino oscillations with two sterile neutrinos, incorporating recent mass differences and mixing angles, and compares it to the one-sterile neutrino case.

Findings

Oscillation probability estimates with two sterile neutrinos.

Comparison showing differences from the one-sterile neutrino model.

Enhanced understanding of sterile neutrino effects on oscillations.

Abstract

This work estimates the probability of $\mu$ to $e$ neutrino oscillation with two sterile neutrinos using a 5x5 U-matrix, an extension of the previous estimate with one sterile neutrino and a 4x4 U-matrix. The sterile neutrino-active neutrino mass differences and the mixing angles of the two sterile neutrinos with the three active neutrinos are taken from recent publications, and the oscillation probability for one sterile neutrino is compared to the previous estimate.