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We identify three independent two-fold parameter degeneracies (\delta,\theta_{13}), sgn(\delta m^2_{31}) and (\theta_{23}, \pi/2-\theta_{23})inherent in the usual three-neutrino analysis of long-baseline neutrinoexperiments, which can lead to as much as an eight-fold degeneracy in thedetermination of the oscillation parameters. We discuss the implications thesedegeneracies have for detecting CP violation and present criteria for breakingthem. A superbeam facility with a baseline at least as long as the distancebetween Fermilab and Homestake (1290 km) and a narrow band beam with energytuned so that the measurements are performed at the first oscillation peak canresolve all the ambiguities other than the (\theta_{23}, \pi/2-\theta_{23})ambiguity (which can be resolved at a neutrino factory) and a residual (\delta,\pi-\delta) ambiguity. However, whether or not CP violation occurs in theneutrino sector can be ascertained independently of the latter two ambiguities.The (\delta,\pi-\delta) ambiguity can be eliminated by performing a secondmeasurement to which only the \cos\delta terms contribute. The hierarchy ofmass eigenstates can be determined at other oscillation peaks only in the mostoptimistic conditions, making it necessary to use the first oscillationmaximum. We show that the degeneracies may severely compromise the ability ofthe proposed SuperJHF-HyperKamiokande experiment to establish CP violation. Inour calculations we use approximate analytic expressions for oscillationprobabilitites that agree with numerical solutions with a realistic Earthdensity profile.Comment: Revtex (singlespaced), 35 pages, 15 postscript figures, uses  psfig.st

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Breaking eightfold degeneracies in neutrino<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>CP</mml:mi></mml:math>violation, mixing, and mass hierarchy

Breaking eightfold degeneracies in neutrinoCPviolation, mixing, and mass hierarchy