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      Explicit SO(10) Supersymmetric Grand Unified Model for the Higgs and Yukawa Sectors

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          Abstract

          A complete set of fermion and Higgs superfields is introduced with well-defined SO(10) properties and U(1) x Z_2 x Z_2 family charges from which the Higgs and Yukawa superpotentials are constructed. The structures derived for the four Dirac fermion and right-handed Majorana neutrino mass matrices coincide with those previously obtained from an effective operator approach. Ten mass matrix input parameters accurately yield the twenty masses and mixings of the quarks and leptons with the bimaximal atmospheric and solar neutrino vacuum solutions favored in this simplest version.

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          Minimal SO(10) Unification

          , (2010)
          It is shown that the doublet-triplet splitting problem can be solved in SO(10) using the Dimopoulos-Wilczek mechanism with a very economical Higgs content and simple structure. Only one adjoint Higgs field is required, together with spinor and vector fields. The successful SUSY GUT prediction of gauge coupling unification is preserved. Higgsino-mediated proton decay can be suppressed below (but not far below) present limits without fine-tuning.
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            Fermion masses in SO(10) with a single adjoint Higgs field

            It has recently been shown how to break SO(10) down to the Standard Model in a realistic way with only one adjoint Higgs. The expectation value of this adjoint must point in the B-L direction. This has consequences for the possible form of the quark and lepton mass matrices. These consequences are explored in this paper, and it is found that one is naturally led to consider a particular form for the masses of the heavier generations. This form implies typically that there should be large (nearly maximal) mixing of the mu- and tau-neutrinos. An explanation that does not involve large tan beta also emerges for the fact that b and tau are light compared to the top quark.

              Author and article information

              Journal
              14 February 2000
              2000-07-13
              Article
              10.1103/PhysRevLett.85.244
              hep-ph/0002155
              7b32bf76-6c54-4698-8dd9-cc9893e2895e
              History
              Custom metadata
              BA-00-08, FERMILAB-Pub-00/037-T
              Phys.Rev.Lett.85:244-247,2000
              Published version appearing in PRL in which small modifications to original submission and a paragraph concerning proton decay appear
              hep-ph

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