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Variety of SO(10) GUTs with natural doublet-triplet splitting via the missing partner mechanism

K. S. Babu1, Ilia Gogoladze2, Pran Nath3, and Raza M. Syed3,4

  • 1Department of Physics, Oklahoma State University, Stillwater, Oklahoma, 74078, USA
  • 2Bartol Research Institute, Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, USA
  • 3Department of Physics, Northeastern University, Boston, Massachusetts 02115-5000, USA
  • 4Department of Physics, American University of Sharjah, P.O. Box 26666, Sharjah, United Arab Emirates*

  • *Permanent address.
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Phys. Rev. D 85, 075002 – Published 2 April, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.075002

Abstract

We present a new class of unified SO(10) models where the grand unified theory symmetry breaking down to the standard model gauge group involves just one scale, in contrast to the conventional SO(10) models which require two scales. Further, the models we discuss possess a natural doublet-triplet splitting via the missing partner mechanism without fine-tuning. Such models involve 560+560¯ pair of heavy Higgs fields along with a set of light fields. The 560+560¯ are the simplest representations of SO(10) besides the 126+126¯ which contain an excess of color triplets over SU(2)L doublets. We discuss several possibilities for realizing the missing partner mechanism within these schemes. With the 126+126¯ multiplets, three viable models are found with additional fields belonging to {210+2×10+120}, {45+10+120}, or {210+16+16¯+10+120}. With the 560+560¯, a unique possibility arises for the missing partner mechanism, with additional {2×10+320} fields. These models are developed in some detail. It is shown that fully realistic fermion masses can arise in some cases, while others can be made realistic by addition of vectorlike representations. Naturally large neutrino mixing angles, including sizable θ13, can emerge in these models. The couplings of the Hu(Hd) Higgs doublets of the minimal supersymmetric standard model which give masses to the up quarks (down quarks and leptons) are not necessarily equal at the grand unification scale and would lead to a new phenomenology at the low-energy scales.

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Phys. Rev. D 85, 075002– Published 2 April, 2012
  • Received 22 December 2011
Article part of CHORUS

© 2012 American Physical Society

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