{ "id": "hep-ph/0201105", "version": "v2", "published": "2002-01-12T19:59:01.000Z", "updated": "2002-01-28T19:25:29.000Z", "title": "Leptonic Unitarity Triangle and CP-violation", "authors": [ "Y. Farzan", "A. Yu. Smirnov" ], "comment": "38 pages, latex, 3 figures, references and explanations added, typos corrected", "journal": "Phys.Rev. D65 (2002) 113001", "doi": "10.1103/PhysRevD.65.113001", "categories": [ "hep-ph" ], "abstract": "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 non-oscillation 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, $\\delta_D$, the required accuracy of measurements is estimated. The key elements of the method include determination of $|U_{e3}|$ and studies of the $\\nu_{\\mu} - \\nu_{\\mu}$ survival probability in oscillations driven by the solar mass splitting $\\Delta m^2_{sun}$. 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 {\\it survival} probabilities and processes where oscillations are averaged or the coherence of the state is lost.", "revisions": [ { "version": "v2", "updated": "2002-01-28T19:25:29.000Z" } ], "analyses": { "subjects": [ "14.60.Pq", "12.15.Ff", "14.60.Lm" ], "keywords": [ "leptonic unitarity triangle", "cp-violation", "direct measurements", "non-oscillation experiments", "oscillations driven" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. D" }, "note": { "typesetting": "LaTeX", "pages": 38, "language": "en", "license": "arXiv", "status": "editable", "inspire": 581696 } } }