Status of Tri/BiMaximal Neutrino Mixing
Abstract
Tri/bimaximal mixing (TBM) is a specific lepton mixing ansatz, which describes the trend of the current neutrino oscillation data, in particular the recent SNO and KAMLAND results. The significant feature of TBM in this respect is U_e2^2=U_m2^2=U_t2^2=1/3, and we say that the nu_2 is trimaximally mixed. We have generalised the TBM ansatz to a generic mixing matrix with the nu_2 trimaximally mixed, whereby the neutrino mass matrix in the lepton flavour basis takes the form of a general S3 group matrix (3 x 3 `magicsquare'). In exact TBM the chargedlepton mass matrix in the neutrino mass basis (where the neutrino mass matrix is diagonal) takes the form of a general S3 class operator. The neutrino mass matrix in the flavour basis is a particular S3 group matrix which is also an S1 C S2 C S3 groupchain class operator, whereby the neutrino mass eigenstates are distinguished by their `mutativity' (M_i = +/1) and `democracy' (D_i = 0,3) which are both good quantum numbers in exact TBM.
 Publication:

arXiv eprints
 Pub Date:
 January 2004
 arXiv:
 arXiv:hepph/0402006
 Bibcode:
 2004hep.ph....2006H
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 10 pages latex, 3 figures as eps files. Written version of a talk presented by W. G. Scott at the Second Workshop on Neutrino Oscillations in Venice (NOVEII) Venice, Italy. 35 Dec 2003 (to be published in the proceedings)