CP-violating Phases in Active-Sterile Solar Neutrino Oscillations

TL;DR

This paper investigates the impact of CP-violating phases on active-sterile solar neutrino oscillations within a general 3+N_s mixing framework, deriving a generalized oscillation probability formula and validating it through numerical analysis.

Contribution

It introduces a generalized Parke formula for neutrino oscillation probabilities in the presence of CP-violating phases without restrictive assumptions.

Findings

Derived a generalized oscillation probability formula for active-sterile neutrino mixing.

Validated the analytical formula with numerical simulations in a 3+1 neutrino mixing scenario.

Demonstrated the influence of CP-violating phases on neutrino oscillation probabilities.

Abstract

Effects of CP-violating phases in active-sterile solar neutrino oscillations are discussed in a general scheme of 3+N_{s} mixing, without any constraint on the mixing between the three active and the N_{s} sterile neutrinos, assuming only a realistic hierarchy of neutrino mass-squared differences. A generalized Parke formula describing the neutrino oscillation probabilities inside the Sun is calculated. The validity of the analytical calculation and the probability variation due to the unknown CP-violating phases are illustrated with a numerical calculation of the evolution equation in the case of 3+1 neutrino mixing.