The effects of Majorana phases in three-generation neutrinos
1 Faculty of Engineering, Mie University, Tsu Mie 514-8507, Japan
2 Department of Physics, Nagoya University, Nagoya, 464-8602, Japan
3 Theory Group, KEK, Tsukuba Ibaraki 305-0801, Japan
Received: 9 May 2000 / Revised version: 23 May 2000 /
Published online: 8 September 2000 - © Springer-Verlag 2000
Neutrino-oscillation solutions for the atmospheric neutrino anomaly and the solar neutrino deficit can determine the texture of the neutrino mass matrix according to three types of neutrino mass hierarchy: Type A: , Type B: , and Type C: , where mi is the absolute mass of the ith generation neutrino. The relative sign assignments of the neutrino masses in each type of mass hierarchy play crucial roles in the stability against quantum corrections. Actually, two physical Majorana phases in the lepton flavor mixing matrix connect the relative sign assignments of the neutrino masses. Therefore, in this paper we analyze the stability of the mixing angles against quantum corrections according to three types of neutrino mass hierarchy (Type A, B, C) and two Majorana phases. The two phases play crucial roles in the stability of the mixing angles against quantum corrections.
Copyright Società Italiana di Fisica, Springer-Verlag 2000