Leptonic Unitarity Triangle and CP-violation
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, , the required accuracy of measurements is estimated. The key elements of the method include determination of and studies of the survival probability in oscillations driven by the solar mass splitting . 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.
Cite
@article{arxiv.hep-ph/0201105,
title = {Leptonic Unitarity Triangle and CP-violation},
author = {Y. Farzan and A. Yu. Smirnov},
journal= {arXiv preprint arXiv:hep-ph/0201105},
year = {2009}
}
Comments
38 pages, latex, 3 figures, references and explanations added, typos corrected