The $S_{3}$ symmetry: Flavour and texture zeroes

Details The $S_{3}$ symmetry: Flavour and texture zeroes The $S_{3}$ symmetry: Flavour and texture zeroes

2011-01-20

arxiv.org/abs/1101.3807v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Presented at XIV Mexican School on Particles and Fields, 4-13 November 2010, Morelia M\'exico

Scientific paper

We use the permutational symmetry group $S_{3}$ as a symmetry of flavour, which leads to a unified treatment of masses and mixings of the quarks and leptons. In this framework all mass matrices of the fermions in the theory have the same form with four texture zeroes of class of I. Also, with the help of six elements of real matrix representation of $S_ {3}$ as transformation matrices of similarity classes, we make a classification of the sets of mass matrices with texture zeroes in equivalence classes. This classification reduce the number of phenomenologically viable textures for the non-singulars mass matrices of $3\times3$, from thirty three down to only eleven independent sets of matrices. Each of these sets of matrices has exactly the same physical content.

Affiliated with

Also associated with

No associations

Rating

The $S_{3}$ symmetry: Flavour and texture zeroes 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 The $S_{3}$ symmetry: Flavour and texture zeroes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The $S_{3}$ symmetry: Flavour and texture zeroes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-332918