arXiv:hep-ph/0405300·v3·High Energy Physics — Phenomenology
SO(10) Group Theory for the Unified Model Building
Takeshi Fukuyama (Ritsumeikan U., Kusatsu)🇯🇵 · Amon Ilakovac (Zagreb U.)🇭🇷 · Tatsuru Kikuchi (Ritsumeikan U., Kusatsu)🇯🇵 · Stjepan Meljanac (Ruder Boskovic Institute, Zagreb)🇭🇷 · Nobuchika Okada (KEK, Tsukuba)🇯🇵
Abstract
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.
Comments: 62 pages, LaTeX, we comment on results of hep-ph/0402122 and hep-ph/0405074; typos corrected;references updated, small improvements of the text