Naslov
SO(10) group theory for the unified model building

Autori
Fukuyama, Takeshi ; Ilakovac, Amon ; Kikuchi, Tatsuru ; Meljanac, Stjepan ; Okada, Nobuchika

Izvornik
Journal of mathematical physics (0022-2488) 46 (2005);

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
SUSY; GUT; SO(10) Clebsch Gordan coefficients; SUSY; mass matrices; proton decay

Sažetak
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 $G_{; ; ; 321}; ; ; = SU(3)_{; ; ; C}; ; ; \times SU(2)_{; ; ; L}; ; ; \times 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: ${; ; ; \bf 10}; ; ; $, ${; ; ; \bf 45}; ; ; $, ${; ; ; \bf 54}; ; ; $, ${; ; ; \bf 120}; ; ; $, ${; ; ; \bf 126}; ; ; $, ${; ; ; \bf \overline{; ; ; 126}; ; ; }; ; ; $ and ${; ; ; \bf 210}; ; ; $. Mass matrices of all $G_{; ; ; 321}; ; ; $ 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.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

POVEZANOST RADA