2002/01/28 by Y. Farzan, Yasaman Farzan, A. Yu. Smirnov · 6 citations
Mathematics · Physics and Astronomy · #Asymmetry #Combinatorics #Computer science #Dark Matter and Cosmic Phenomena #Mathematics #Measure (data warehouse) #Neutrino Physics Research #Particle physics #Particle physics theoretical and experimental studies #Physics #Unitarity #hep-ph
paper · pdf · doi:10.1103/physrevd.65.113001
published as Phys.Rev. D65 (2002) 113001 · 38 pages, latex, 3 figures, references and explanations added, typos corrected
arxiv created 2002/01/28 · openalex publication_date 2002/06/04 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The area of the unitarity triangle is a measure of CP violation. We introduce the leptonic unitarity triangles and study their properties. We consider the possibility of reconstructing the unitarity triangle in future oscillation and nonoscillation experiments. A set of measurements is suggested which will, in principle, allow us to measure all sides of the triangle, and consequently to establish CP violation. For different values of the CP-violating phase \ensuremathδD, the required accuracy of measurements is estimated. The key elements of the method are the determination of |Ue3| and studying the \ensuremathν_\ensuremathμ\ensuremath-\ensuremathν_\ensuremathμ survival probability in the oscillations driven by the solar mass splitting \ensuremathΔmsun2. We suggest additional astrophysical measurements which may help to reconstruct the triangle. The method of the unitarity triangle is complementary to the direct measurements of CP asymmetry. It requires mainly studies of the survival probabilities and processes where oscillations are averaged or the coherence of the state is lost.