Abstract
The hypercharge ${\mathrm{U}(1)}_{Y}$ of the standard electroweak model is split into chiral hypercharges ${\mathrm{U}(1)}_{L}\ifmmode\times\else\texttimes\fi{}{\mathrm{U}(1)}_{R}$. Under the new gauge symmetry ${\mathrm{SU}(2)}_{L}\ifmmode\times\else\texttimes\fi{}{\mathrm{U}(1)}_{L}\ifmmode\times\else\texttimes\fi{}{\mathrm{U}(1)}_{R}$, quarks and leptons are left-handed doublets transforming only under ${\mathrm{SU}(2)}_{L}\ifmmode\times\else\texttimes\fi{}{\mathrm{U}(1)}_{L}$ and right-handed singlets transforming only under ${\mathrm{U}(1)}_{R}$. Consistent with the measurements of the mass of the standard massive neutral boson ${Z}^{0}$ at the SLAC and CERN colliders and the neutral-current couplings involving neutrino beams and electron beams, the additional massive neutral gauge boson can be as light as a few hundred GeV. The model utilizes the generalized see saw mechanism of Gell-Mann, Ramond, and Slansky to give masses to all the fermions of the theory.
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