Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-05-02
JHEP 0304 (2003) 011
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages, JHEP3.cls, To appear in JHEP
Scientific paper
10.1088/1126-6708/2003/04/011
We study assignments of the hypercharge and baryon minus lepton number for particles in the $E_6$ grand unification model. It is shown that there are three assignments of hypercharge and three assignments of baryon minus lepton number which are consistent with the Standard Model. Their explicit expressions and detailed properties are given. In particular, we show that the $U(1)_{B-L}$ symmetry in $E_6$ cannot be orthogonal to the $SU(3)_R$ symmetry. Based on these investigations, we propose an alternative SU(5) grand unification model.
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