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

Understand

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.