Journal
PHYSICAL REVIEW D
Volume 98, Issue 9, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.98.093001
Keywords
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Funding
- U.S. Department of Energy, Office of Science, Office of High Energy Physics [DE-AC02-07CH11359]
- European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie [690575, 674896]
- Villum Foundation [13164]
- Danish National Research Foundation (DNRF91) [1041811001]
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In this paper, we generalize the concept of an effective Delta m(ee)(2) for nu(e)/(nu) over bar (e) disappearance experiments, which has been extensively used by the short baseline reactor experiments, to include the effects of propagation through matter for longer baseline nu(e)/(nu) over bar (e) disappearance experiments. This generalization is a trivial, linear combination of the neutrino mass squared eigenvalues in matter and thus is not a simple extension of the usually vacuum expression, although, as it must, it reduces to the correct expression in the vacuum limit. We also demonstrated that the effective Delta m(ee)(2) in matter is very useful conceptually and numerically for understanding the form of the neutrino mass squared eigenstates in matter and hence for calculating the matter oscillation probabilities. Finally, we analytically estimate the precision of this two-flavor approach and numerically verify that it is precise at the subpercent level.
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