Connecting Leptonic Unitarity Triangle to Neutrino Oscillation with CP Violation in Vacuum and in Matter

Abstract

Leptonic unitarity triangle (LUT) provides fundamental means to geometrically describe CP violation in neutrino oscillation. In this work, we use LUT to present a new geometrical interpretation of the vacuum oscillation probability, and derive a compact new oscillation formula in terms of only 3 independent parameters of the corresponding LUT. Then, we systematically study matter effects in the geometrical formulation of neutrino oscillation with CP violation. Including nontrivial matter effects, we derive a very compact new oscillation formula by using the LUT formulation. We further demonstrate that this geometrical formula holds well for applications to neutrino oscillations in matter, including the long baseline experiments T2K, MINOS, NOvA, and DUNE.

PRD Final Version (9pp, 5 Figs). All results/conclusions un-changed. Further added new Fig.5 for analysis of LBL experiment DUNE. Only minor rewording to clarify the Importance of this work

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Cited by in corpus (7)

• Current unknowns in the three neutrino framework
• Matter Density Profile Shape Effects at DUNE
• Leptonic Unitarity Triangles
• Non-standard neutrino oscillations: perspective from unitarity triangles
• Discriminating sterile neutrinos and unitarity violation with CP invariants
• Leptonic unitarity triangles: RGE running effects and $\mu$-$\tau$ reflection symmetry breaking
• Improving CP Measurement with THEIA and Muon Decay at Rest