Abstract
We present a class of realistic unified models based on supersymmetric SO(10) wherein issues related to natural doublet-triplet (DT) splitting are fully resolved. Using a minimal set of low dimensional Higgs fields which includes a single adjoint, we show that the Dimopoulos-Wilzcek mechanism for DT splitting can be made stable in the presence of all higher order operators without having pseudo-Goldstone bosons and flat directions. The μ term of order TeV is found to be naturally induced. A Z 2-assisted anomalous \( \mathcal{U}{(1)_A} \) gauge symmetry plays a crucial role in achieving these results. The threshold corrections to α 3(M Z ), somewhat surprisingly, are found to be controlled by only a few effective parameters. This leads to a very predictive scenario for proton decay. As a novel feature, we find an interesting correlation between the d = 6 (p → e + π 0) and \( d = 5\left( {p \to \bar{\nu }{K^{+} }} \right) \) decay amplitudes which allows us to derive a constrained upper limit on the inverse rate of the e + π 0 mode. Our results show that both modes should be observed with an improvement in the current sensitivity by about a factor of five to ten.
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Babu, K.S., Pati, J.C. & Tavartkiladze, Z. Constraining proton lifetime in SO(10) with stabilized doublet-triplet splitting. J. High Energ. Phys. 2010, 84 (2010). https://doi.org/10.1007/JHEP06(2010)084
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DOI: https://doi.org/10.1007/JHEP06(2010)084