$CP$-violating phases in active-sterile solar neutrino oscillations

$C P$ -violating phases in active-sterile solar neutrino oscillations

H. W. Long, Y. F. Li, and C. Giunti

Phys. Rev. D 87, 113004 – Published 4 June 2013

Abstract

The effects of $C P$ -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 $C P$ -violating phases are illustrated with a numerical calculation of the evolution equation in the case of $3 + 1$ neutrino mixing.