Discrete Flavor Symmetry, Dynamical Mass Textures, and Grand Unification

Details Discrete Flavor Symmetry, Dynamical Mass Textures, and Grand Unification Discrete Flavor Symmetry, Dynamical Mass Textures, and Grand Unification

2005-11-09

arxiv.org/abs/hep-ph/0511108v2

Nucl.Phys. B739 (2006) 254-284

Physics

High Energy Physics

High Energy Physics - Phenomenology

40 pages, references added

Scientific paper

10.1016/j.nuclphysb.2006.01.027

Discrete flavor symmetry is explored for an intrinsic property of mass matrix forms of quarks and leptons. In this paper we investigate the S3 permutation symmetry and derive the general forms of mass matrices in various types of S3 theories. We also exhibit particular realizations of previous ansatze of mass matrices, which have often been applied in the literature to the standard model Yukawa sector. Discrete flavor symmetry is also advantageous for vanishing matrix elements being dynamically generated in the vacuum of scalar potential. This is due to the fact that group operations are discrete. While zero elements themselves do not explain mass hierarchies, we introduce an abelian flavor symmetry. A non-trivial issue is whether successful quantum numbers can be assigned so that they are compatible with other (non-abelian) flavor symmetries. We show typical examples of charge assignments which not only produce hierarchical orders of mass eigenvalues but also prohibit non-renormalizable operators which disturb the hierarchies in first-order estimation. As an explicit application, a flavor model is constructed in grand unification scheme with S3 and U(1) (or Z_N) flavor symmetries.

Affiliated with

Also associated with

No associations

Rating

Discrete Flavor Symmetry, Dynamical Mass Textures, and Grand Unification 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 Discrete Flavor Symmetry, Dynamical Mass Textures, and Grand Unification, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Discrete Flavor Symmetry, Dynamical Mass Textures, and Grand Unification will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-104028