Journal
PHYSICAL REVIEW D
Volume 100, Issue 5, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.100.053004
Keywords
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Funding
- United States Department of Energy [desc0012704]
- Fermi Research Alliance [DE-AC02-07CH11359]
- U.S. Department of Energy
- European Union [690575, 674896]
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For neutrino propagation in matter, we show that the Jarlskog invariant, which controls the size of true CP 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 Delta m(2) 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 (1/(J) over cap (2)) 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.
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