Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-05-23
Physics
High Energy Physics
High Energy Physics - Phenomenology
Scientific paper
A generic valon potential invariant under U(1)\x SO(3) is used to determine whether the horizontal symmetry of leptons is $A_4$, $S_4$, or some other finite subgroups of SO(3). Valons in the potential are assigned SO(3) spins 0, 1, and 2, for these are the only ones that can couple to the three generation of fermions with horizontal spin 1. This potential causes a breakdown into three possible phases with three different symmetries. Phase I has an $A_4$ symmetry suitable for leptonic mixing. Phase II has an SO(2) symmetry and phase III has a $Z_2\x Z_2$ symmetry, both capable of describing Cabibbo mixing of quarks. Phase II has to be rejected on phenomenological ground, but phase III yields block diagonal and hierarchical mass matrices appropriate for quarks. No other non-abelian symmetry such as $S_4$ is present.
No associations
LandOfFree
A Horizontal Symmetry for Leptons and Quarks 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 A Horizontal Symmetry for Leptons and Quarks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Horizontal Symmetry for Leptons and Quarks will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-514409