English

Leptonic Unitarity Triangle and CP-violation

High Energy Physics - Phenomenology 2009-11-07 v2

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, δD\delta_D, the required accuracy of measurements is estimated. The key elements of the method include determination of Ue3|U_{e3}| and studies of the νμνμ\nu_{\mu} - \nu_{\mu} survival probability in oscillations driven by the solar mass splitting Δmsun2\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.

Keywords

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

R2 v1 2026-07-22T13:38:51.190Z