SO(10) Group Theory for the Unified Model Building

Details SO(10) Group Theory for the Unified Model Building SO(10) Group Theory for the Unified Model Building

2004-05-31

arxiv.org/abs/hep-ph/0405300v3

J.Math.Phys. 46 (2005) 033505

Physics

High Energy Physics

High Energy Physics - Phenomenology

62 pages, LaTeX, we comment on results of hep-ph/0402122 and hep-ph/0405074; typos corrected;references updated, small improve

Scientific paper

10.1063/1.1847709

The complete tables of Clebsh-Gordan (CG) coefficients for a wide class of SO(10) SUSY grand unified theories (GUTs) are given. Explicit expression of all states and corresponding multiplets under standard model gauge group G_{321} = SU(3)_C x SU(2)_L x U(1)_Y, necessary for evaluation of the CG coefficients are presented. The SUSY SO(10) GUT model considered here incudes most of the Higgs irreducible representations usually used in the literature: 10, 45, 54, 120, 126 126-bar and 210. Mass matrices of all G_{321} multiplets are found for the most general superpotential. These results are indispensible for the precision calculations of the gauge coupling unification and proton decay, etc.

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