Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-11-11
Phys.Lett.B396:150-160,1997
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages, LATEX, no figures
Scientific paper
10.1016/S0370-2693(97)00122-6
We present the supersymmetric $SU(5)$ models which provide a simple ``all order'' solution to the doublet-triplet splitting problem through the missing doublet mechanism. The crucial role is played by the anomalous $U(1)_A$ gauge symmetry and no additional discrete or global symmetries are needed. Remarkably, such models can be realized even if the 75-plet Higgs is replaced by the standard 24-plet. The same $U(1)_A$ symmetry can also guarantee an exact or approximate conservation of R parity, by suppressing the B and L violating operators to the needed level. The neutrino masses and the proton decay via $d=5$ operators are also examined. We also extend the model by incorporating $U(1)_A$ as a horizontal symmetry for explaining the fermion mass and mixing hierarchy. Interestingly, in this scheme the necessary mild violation of the troublesome $SU(5)$ degeneracy between the down quark and the charged lepton masses can be induced by certain R-parity violating operators.
Berezhiani Zurab
Tavartkiladze Zurab
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