Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-07-04
Phys.Lett. B622 (2005) 327-338
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages, resubmitted as a PLB letter, appendices were removed
Scientific paper
10.1016/j.physletb.2005.07.018
We construct a simple SO(10) SUSY GUT with $D_3$ family symmetry and low energy R parity. The model describes fermion mass matrices with 14 parameters and gives excellent fits to 20 observable masses and mixing angles in both quark and lepton sectors, giving 6 predictions. Bi-large neutrino mixing is obtained with hierarchical quark and lepton Yukawa matrices; thus avoiding the possibility of large lepton flavor violation. The model naturally predicts small 1-3 neutrino mixing, $\sin \theta_{13} \simeq 0.05$, and a CP violating phase $\delta$ close to $\pi/2$. Among other interesting predictions is a tiny effective Majorana mass for neutrinoless double-beta decay. Leptogenesis is also possible with the decay of the lightest right-handed neutrino giving an acceptable CP violating asymmetry $\epsilon_1$ of order $10^{-6}$, {\em and with the correct sign for the resultant baryon asymmetry}. We also show how similar models with the non-abelian symmetry groups SU(2) or $D_4$, instead of $D_3$, can be constructed.
Dermisek Radovan
Raby Stuart
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