Leptonic Unitarity Triangles in Matter

Abstract

We present a geometric description of lepton flavor mixing and CP violation in matter by using the language of leptonic unitarity triangles. The exact analytical relations for both sides and inner angles are established between every unitarity triangle in vacuum and its effective counterpart in matter. The typical shape evolution of six triangles with the terrestrial matter density is illustrated for a realistic long-baseline neutrino oscillation experiment.

RevTeX 21 pages (6 PS figures included)

References in corpus (1)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)

Cited by in corpus (29)

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• The T2K Indication of Relatively Large theta_13 and a Natural Perturbation to the Democratic Neutrino Mixing Pattern
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• Exact and Approximate Formulas for Neutrino Mixing and Oscillations with Non-Standard Interactions
• Analytical approximations for matter effects on CP violation in the accelerator-based neutrino oscillations with E \lesssim 1 GeV
• Constraining Astrophysical Neutrino Flavor Composition from Leptonic Unitarity
• Connecting Leptonic Unitarity Triangle to Neutrino Oscillation
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• Unified parametrization of quark and lepton mixing matrices in tri-bimaximal pattern
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• Non-standard neutrino oscillations: perspective from unitarity triangles
• Looking into Analytical Approximations for Three-flavor Neutrino Oscillation Probabilities in Matter
• Constructing the Leptonic Unitarity Triangle
• Sum rules of four-neutrino mixing in matter
• Sum rules and asymptotic behaviors of neutrino mixing in dense matter
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• Connecting Leptonic Unitarity Triangle to Neutrino Oscillation with CP Violation in Vacuum and in Matter
• Effect of Leptonic CP Phase in nu_mu --> nu_mu Oscillations
• Radiative corrections to the lepton flavor mixing in dense matter
• Measuring Dirac CP-violating phase with intermediate energy beta beam facility
• A Nearest-neighbor Expansion of Lepton Flavor Mixing in Powers of the $\mu$-$\tau$ Permutation Symmetry Breaking Effect
• Avoiding the uncertainty from correlation between |Delta m_{31}^2| and CP phase delta in nu_mu --> nu_mu long baseline experiments