Analytic Solutions to the RG Equations of the Neutrino Physical Parameters

Details Analytic Solutions to the RG Equations of the Neutrino Physical Parameters Analytic Solutions to the RG Equations of the Neutrino Physical Parameters

1999-11-25

arxiv.org/abs/hep-ph/9911481v1

Prog.Theor.Phys. 103 (2000) 807-814

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX2e, 9 pages, 6 figures

Scientific paper

10.1143/PTP.103.807

In the case of two generation neutrinos, the energy-scale dependence of the lepton-flavor mixing matrix with Majorana phase can be governed by only one parameter r, which is the ratio between the diagonal elements of neutrino mass matrix. By using this parameter r, we derive the analytic solutions to the renormalization group equations of the physical parameters, which are the mixing angle, Majorana phase, and the ratio of the mass-squared difference to the mass squared of the heaviest neutrino. The energy-scale dependence of the Majorana phase is clarified by using these analytic solutions. The instability of the Majorana phase causes in the same parameter region in which the mixing angle is unstable against quantum corrections.

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