Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-04-04
Eur.Phys.J.C49:783-789,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
14 pages, no figures; version 2: (1) added a short paragraph at the end of subsec 2.2 to record the counting of physical param
Scientific paper
10.1140/epjc/s10052-006-0130-5
We consider the simplest extension of the standard electroweak model by one sterile neutrino that allows for neutrino masses and mixing. We find that its leptonic sector contains much less free physical parameters than previously realized. In addition to the two neutrino masses, the lepton mixing matrix in charged current interactions involves (n-1) free physical mixing angles for n generations. The mixing matrix in neutral current interactions of neutrinos is completely fixed by the two masses. Both interactions conserve CP. We illustrate the phenomenological implications of the model by vacuum neutrino oscillations, tritium beta decay and neutrinoless double beta decay. It turns out that, due to the revealed specific structure in its mixing matrix, the model with any n generations cannot accommodate simultaneously the data by KamLAND, K2K and CHOOZ.
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