Construction of an SO(10) x U(1)-F model of the Yukawa interactions

Journal Article · Sat Jul 01 04:00:00 EDT 1995 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.53.2699· OSTI ID:1155579

Albright, Carl H. ^[1]; Nandi, Satyanarayan ^[2]

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1. Northern Illinois Univ., Dekalb, IL (United States); Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
2. Oklahoma City Univ., Oklahoma City, OK (United States)

We construct a supersymmetric SO(10) \times U(1)_F model of the Yukawa interactions at the grand unification scale from knowledge of a phenomenological set of mass matrices obtained by a previous bottom-up approach. The U(1)_F family symmetry determines the textures for the Majorana and generic Dirac mass matrices, while the SO(10) symmetry relates each particular element of the up, down, neutrino and charged lepton Dirac matrices. The dominant second and third family contributions in the Dirac sector are renormalizable, while the remaining contributions to the Dirac mass matrices are of higher order, restricted by the U(1)_F family symmetry to a small set of tree diagrams, and mainly complex-symmetric. The tree diagrams for the Majorana mass matrix are all non-renormalizable and of progressively higher-order, leading to a nearly geometrical structure. Pairs of {\bf 1, 45, 10} and {\bf 126} Higgs representations enter with those having large vacuum expectation values breaking the symmetry down to SU(3)_c \times SU(2)_L \times U(1)_Y near the grand unification scale. In terms of 12 parameters expressed as the Yukawa couplings times vacuum expectation values for the Higgs representations employed, a realistic set of 15 quark and lepton masses (including those for the 3 heavy righthanded Majorana neutrinos) and 8 mixing parameters emerges for the neutrino scenario involving the non-adiabatic conversion of solar neutrinos and the depletion of atmospheric muon-neutrinos through oscillations into tau-neutrinos.

• Research Organization: Fermi National Accelerator Laboratory (FNAL), Batavia, IL
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
• DOE Contract Number: AC02-07CH11359
• OSTI ID: 1155579
• Report Number(s): OSU-RN-306
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 5 Vol. 53; ISSN PRVDAQ; ISSN 0556-2821
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS