SO(10) Group Theory for the Unified Model Building

Show simple item record Okada, Nobuchika 2019-07-15T21:01:56Z 2019-07-15T21:01:56Z 2005-02-07
dc.identifier.citation Fukuyama, T., Ilakovac, A., Kikuchi, T., Meljanac, S., Okada, N. (2005): SO(10) Group Theory for the Unified Model Building. Journal of Mathematical Physics, 46(3). DOI: en_US
dc.description.abstract 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)ᵧ, 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, 1̅2̅6̅, 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. en_US
dc.format.mimetype application/pdf en_US
dc.language English en_US
dc.subject Particle symmetry en_US
dc.subject Gauge group en_US
dc.subject Representation theory en_US
dc.subject Grand unified theory en_US
dc.subject Clebsch-Gordan coefficients en_US
dc.subject Bosons en_US
dc.subject Radioactive decay en_US
dc.subject Quarks en_US
dc.subject Leptons en_US
dc.subject Group theory en_US
dc.title SO(10) Group Theory for the Unified Model Building en_US
dc.type text en_US

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