SO(10) Group Theory for the Unified Model Building
Copyright policy )SO(10) Group Theory for the Unified Model Building
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.
- University of Tokyo Japan
- Ruđer Bošković Institute Croatia
- Ritsumeikan University Japan
- High Energy Accelerator Research Organization Japan
- University of Zagreb Croatia
Finite-dimensional groups and algebras motivated by physics and their representations, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), Unified quantum theories, FOS: Physical sciences, SUSY; GUT; SO(10) Clebsch Gordan coefficients; SUSY; mass matrices; proton decay
Finite-dimensional groups and algebras motivated by physics and their representations, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), Unified quantum theories, FOS: Physical sciences, SUSY; GUT; SO(10) Clebsch Gordan coefficients; SUSY; mass matrices; proton decay
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