Abstract
For neutrino propagation in matter, we show that the Jarlskog invariant, which controls the size of true violation in neutrino oscillation appearance experiments, factorizes into three pieces: the vacuum Jarlskog invariant times two simple two-flavor matter resonance factors that control the matter effects for the solar and atmospheric resonances independently. If the solar effective matter potential and the atmospheric effective are chosen carefully for these two resonance factors, then the fractional corrections to this factorization are an impressive 0.04% or smaller. We also show that the inverse of the square of the Jarlskog in matter () is a fourth order polynomial in the matter potential which guarantees that it can be factored into two quadratics which immediately implies the functional form of our approximate, factorized expression.
- Received 4 March 2019
- Revised 20 June 2019
DOI:https://doi.org/10.1103/PhysRevD.100.053004
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society