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Leptonic Unitarity Triangle and CP-violation

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arxiv hep-ph/0201105 v2 pith:JBPLU6DN submitted 2002-01-12 hep-ph

classification hep-ph
keywords triangleunitaritymeasurementscp-violationdeltaleptonicmeasuremethod
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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.

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  1. Physics of parameter correlations around the solar-scale enhancement in neutrino theory with unitarity violation

    hep-ph 2019-08 conditional novelty 5.0 of 10

    A new first-order perturbation theory for solar-scale neutrino oscillations with non-unitary mixing shows that δ and the non-unitarity α parameters form physical, convention-independent phase correlations.

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