Neutrino Matter Effect Invariants and the Observables of Neutrino Oscillations

Abstract

We generalise our previous observation on the invariance of the Jarlskog determinant to matter effects in neutrino oscillations. Within the context of standard neutrino oscillation theory with matter effects, we present the complete set of (five) matter invariant observables for neutrino propagation in matter. We give some examples of their application.

11 pages, no figures. Add 3 new references at number 7. Correct a few typos

References in corpus (3)

• Analytic Approximations for Three Neutrino Oscillation Parameters and Probabilities in Matter
• Medium effects for terrestrial and atmospheric neutrino oscillations
• Sum Rules of Neutrino Masses and CP Violation in the Four-Neutrino Mixing Scheme

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• Reconstruction of the Neutrino Mixing Matrix and Leptonic Unitarity Triangles from Long-baseline Neutrino Oscillations
• Invariants of Lepton Mass Matrices and CP and T Violation in Neutrino Oscillations
• Covariant Extremisation of Flavour-Symmetric Jarlskog Invariants and the Neutrino Mixing Matrix
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• Sum rules of four-neutrino mixing in matter
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• Plaquette Invariants and the Flavour Symmetric Description of Quark and Neutrino Mixings
• Connecting Leptonic Unitarity Triangle to Neutrino Oscillation with CP Violation in Vacuum and in Matter
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• Analytic Neutrino Oscillation Probabilities