Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-05-21
JHEP 0107:045,2001
Physics
High Energy Physics
High Energy Physics - Phenomenology
Latex, 15 pages; two references added and minor changes in the text; final version accepted for publication in JHEP
Scientific paper
10.1088/1126-6708/2001/07/045
We consider lepton mixing in an extension of the Standard Model with three right-handed neutrino singlets. We require that the three lepton numbers L_e, L_\mu, and L_\tau be separately conserved in the Yukawa couplings, and we assume that they are softly broken only by the Majorana mass matrix M_R of the neutrino singlets. In this framework, where lepton-number breaking occurs at a scale much higher than the electroweak scale, deviations from family-lepton-number conservation are calculable and finite, and lepton mixing stems exclusively from M_R. We then show that a discrete symmetry exists such that, in the lepton mixing matrix U, maximal atmospheric neutrino mixing together with U_{e3}=0 can be obtained naturally. Alternatively, if one assumes that there are two different scales in M_R and that the lepton number \bar L = L_e - L_\mu - L_\tau is conserved in between them, then maximal solar neutrino mixing follows naturally. If both the discrete symmetry and intermediate \bar L conservation are introduced, bimaximal mixing is achieved.
Grimus Walter
Lavoura Luis
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