Abstract
The breakdown of SO(10) symmetry to ordinary SU(3${)}_{\mathrm{C}}$\ifmmode\times\else\texttimes\fi{}U(1${)}_{\mathrm{Q}}$ is studied in detail. An adjoint 45, a spinorial 16+${16}^{\mathrm{*}}$, and a traceless second-rank symmetric tensor 54 of Higgs fields break SO(10) down to SU(3${)}_{\mathrm{C}}$\ifmmode\times\else\texttimes\fi{}SU(2${)}_{\mathrm{L}}$\ifmmode\times\else\texttimes\fi{}U(1${)}_{\mathrm{Y}}$. By introducing the 54, it is shown that the flavor group SU(2${)}_{\mathrm{L}}$\ifmmode\times\else\texttimes\fi{}SU(2${)}_{\mathrm{R}}$ can show up as an intermediate symmetry. All the Higgs-boson masses are evaluated and the parameters entering into the Higgs potential are constrained for the stability of the SU(2${)}_{\mathrm{L}}$\ifmmode\times\else\texttimes\fi{}SU(2${)}_{\mathrm{R}}$-symmetric vacuum. A vectorial 10 is employed to break the electroweak symmetry to U(1${)}_{\mathrm{Q}}$ and its interaction with the superheavy fields is analyzed.
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