$SU(3)_c\otimes SU(3)_L\otimes U(1)_X$ as an $E_6$ Subgroup

Details $SU(3)_c\otimes SU(3)_L\otimes U(1)_X$ as an $E_6$ Subgroup $SU(3)_c\otimes SU(3)_L\otimes U(1)_X$ as an $E_6$ Subgroup

2001-03-22

arxiv.org/abs/hep-ph/0103244v2

Phys.Rev.D64:075013,2001

Physics

High Energy Physics

High Energy Physics - Phenomenology

substantial changes in section 6 because of the inclusion of more experimental data; several formulas corrected; references ad

Scientific paper

10.1103/PhysRevD.64.075013

An extension of the Standard Model to the local gauge group $SU(3)_c\otimes SU(3)_L\otimes U(1)_X$ which is a subgroup of the electroweak-strong unification group $E_6$ is analyzed. The mass scales, the gauge boson masses, and the masses for the spin 1/2 particles in the model are calculated. The mass differences between the up and down quark sectors, between the quarks and leptons, and between the charged and neutral leptons in one family are explained as a consequence of mixing of ordinary with exotic fermions implied by the model. By using experimental results we constrain the mixing angle between the two neutral currents and the mass of the additional neutral gauge boson to be $-0.0015 \leq \sin\theta \leq 0.0048$ and $600 GeV \leq M_{Z_2}$ at 95% CL. The existence of a Dirac neutrino for each family with a mass of the order of the electroweak mass scale is predicted.

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