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arXiv · hep-ph/9710492

Group-Theoretic Evidence for SO(10) Grand Unification

J. Lykken·T. Montroy·S. Willenbrock
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Abstract

The hypercharges of the fermions are not uniquely determined in SO(10) grand unification, but rather depend upon which linear combination of the two U(1) subgroups of SO(10) > SU(3) X SU(2) X U(1) X U(1) remains unbroken. We show that, in general, a given hypercharge assignment can be obtained only with very high-dimensional Higgs representations. The observation that the standard model is obtained with low-dimensional Higgs representations can therefore be regarded as further evidence for SO(10) grand unification. This evidence is independent of the fact that SO(10) > SU(5).

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J. Lykken, T. Montroy, S. Willenbrock. 1997-10-28. Group-Theoretic Evidence for SO(10) Grand Unification. https://doi.org/10.1016/s0370-2693(97)01416-0

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