Permutation Symmetry, Tri-Bimaximal Neutrino Mixing and the S3 Group Characters

Details Permutation Symmetry, Tri-Bimaximal Neutrino Mixing and the S3 Group Characters Permutation Symmetry, Tri-Bimaximal Neutrino Mixing and the S3 Group Characters

2003-02-04

arxiv.org/abs/hep-ph/0302025v2

Phys.Lett. B557 (2003) 76

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, latex, version-2 corrects some typos, adds to refs

Scientific paper

10.1016/S0370-2693(03)00183-7

We postulate that the neutrino mass matrix in the lepton flavour basis is an S3 group matrix in the natural representation of S3. This immediately requires one neutrino to be trimaximally mixed, as suggested by the solar neutrino data. We go on to postulate that the charged-lepton mass matrix in the neutrino mass-basis is an S3 class matrix in the natural representation of the S3 class-algebra, leading to exact tri-bimaximal mixing, which is compatible with data overall. The tri-bimaximal mixing matrix is seen to be closely related to the S3 character table, and is properly the S2 C S3 table of induction coefficients, where the S2 corresponds to symmetry under mu-tau interchange in the lepton flavour basis.

Affiliated with

Also associated with

No associations

Rating

Permutation Symmetry, Tri-Bimaximal Neutrino Mixing and the S3 Group Characters does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Permutation Symmetry, Tri-Bimaximal Neutrino Mixing and the S3 Group Characters, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Permutation Symmetry, Tri-Bimaximal Neutrino Mixing and the S3 Group Characters will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-269445