2003/09/30 by W. Rodejohann, Werner Rodejohann · 10 citations
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ex #hep-ph #nucl-ex
paper · pdf · doi:10.1103/physrevd.69.033005
published as Phys.Rev.D69:033005,2004 · 26 pages. Subsection about possible origin of deviations and some references added. To appear in PRD
arxiv created 2003/12/06 · openalex publication_date 2004/02/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a flexible and model independent parametrization of the neutrino mixing matrix, which takes advantage of the fact that there are up to three small quantities in neutrino mixing phenomenology: (i) the deviation from maximal mixing of solar neutrinos, (ii) the mixing matrix element Ue3, and (iii) the deviation from maximal mixing of atmospheric neutrinos. It is possible to quantify those three observations with a parameter \ensuremathλ\ensuremath∼0.2, which appears at least linearly in all elements of the mixing matrix. The limit \stackrel\ensuremath→\ensuremathλ0 corresponds to exact bimaximal mixing. Present and future experiments can be used to pin down the power of \ensuremathλ required to usefully describe the observed phenomenology. Observing that the ratio of the two measured mass squared differences is roughly \ensuremathλ2 allows us to further study the structure of the Majorana mass matrix. We comment on the implications of this parametrization for neutrinoless double beta decay and on the oscillation probabilities in long-baseline experiments.