Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-08-21
Prog.Theor.Phys. 103 (2000) 145-150
Physics
High Energy Physics
High Energy Physics - Phenomenology
7 pages, 1 figures, LaTeX
Scientific paper
10.1143/PTP.103.145
There are physical Majorana phases in the lepton flavor mixing matrix when neutrinos are Majorana fermions. In the case of two degenerate neutrinos, the physical Majorana phase plays the crucial role for the stability of the maximal flavor mixing between the second and the third generations against quantum corrections. The physical Majorana phase of $\pi$ guarantees the maximal mixing to be stable against quantum corrections, while the Majorana phase of zero lets the maximal mixing be spoiled by quantum corrections when neutrino masses are of O(eV). The continuous change of the Majorana phase from $\pi$ to 0 makes the maximal mixing be spoiled by quantum corrections with O(eV) degenerate neutrino masses. On the other hand, when there is the large mass hierarchy between neutrinos, the maximal flavor mixing is not spoiled by quantum corrections independently of the Majorana phase.
Haba Naoyuki
Matsui Yohei
Okamura Naotoshi
Sugiura Muneo
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