SO(10) Group Theory for the Unified Model Building
SO(10) Group Theory for the Unified Model Building
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DOI：
10.1063/1.1847709
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发表时间：
2004-05
期刊：
影响因子：
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通讯作者：
T. Fukuyama;A. Ilakovac;T. Kikuchi;S. Meljanac;N. Okada
中科院分区：
文献类型：
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作者：
T. Fukuyama;A. Ilakovac;T. Kikuchi;S. Meljanac;N. Okada
The complete tables of Clebsch–Gordan (CG) coefficients for a wide class of SO(10) SUSY grand unified theories (GUTs) are given. Explicit expressions of states of all corresponding multiplets under standard model gauge group G321=SU(3)C×SU(2)L×U(1)Y, necessary for evaluation of the CG coefficients are presented. The SUSY SO(10) GUT model considered here includes most of the Higgs irreducible representations usually used in the literature, 10, 45, 54, 120, 126, 126¯, and 210. Mass matrices of all G321 multiplets are found for the most general superpotential. These results are indispensable for the precision calculations of the gauge couplings unification and proton decay, etc.
