The effects of Majorana phases in three-generation neutrinos
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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: \(m_1 \ll m_2 \ll m_3 \), Type B: \(m_1 \sim m_2 \gg m_3\), and Type C: \(m_1 \sim m_2 \sim m_3\), where \(m_i\) 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.
KeywordsCrucial Role Relative Sign Mass Matrix Neutrino Mass Quantum Correction
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