2023/06/28 by Shu Luo, Luo, Shu, Zhi‐zhong Xing +1 · 2 citations
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph) #Neutrino Physics Research #Particle physics theoretical and experimental studies
paper · pdf · doi:10.48550/arxiv.2306.16231
openalex publication_date 2023/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The probabilities of νμ → νe and νμ → νe oscillations in vacuum are determined by the CP-conserving flavor mixing factors \cal Rij ≡ \rm Re (Uμi Ue j U*μj U*e i) and the universal Jarlskog invariant of CP violation \cal Jν ≡ (-1)i+j \rm Im (Uμi Ue j U*μj U*e i) (for i, j = 1, 2, 3 and i < j), where U is the 3× 3 Pontecorvo-Maki-Nakagawa-Sakata neutrino mixing matrix. We show that \cal J2ν = \cal R12 \cal R13 + \cal R12 \cal R23 + \cal R13 \cal R23 holds as a natural consequence of the unitarity of U. This Pythagoras-like relation may provide a novel cross-check of the result of \cal Jν that will be directly measured in the next-generation long-baseline neutrino oscillation experiments. Indirect non-unitarity effects and terrestrial matter effects on \cal Jν and \cal Rij are also discussed.