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Left-right symmetry in 5D and neutrino mass in TeV scale gravity models

R. N. Mohapatra·A. Perez-Lorenzana
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Abstract

We construct a left-right symmetric model based on the gauge group $SU(2)_L\times SU(2)_R\times U(1)_{B-L}$ in five dimensions where both the gauge bosons and fermions reside in all five dimensions. The orbifold boundary conditions are used not only to break the gauge symmetry down to $SU(2)_L\times U(1)_Y\times U(1)_{Y'}$ but also to ``project'' the right handed neutrino out of the zero mode part of the spectrum, providing a new way to understand the small neutrino masses without adding (singlet) bulk neutrinos. This formulation of the left-right model has also two new features: (i) it avoids most existing phenomenological bounds on the scale of the right handed $W_R$ boson allowing for the possibility that the right handed gauge bosons could have masses under a TeV, and (ii) it predicts a stable lepton with mass of order of the inverse radius of the fifth dimension.

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R. N. Mohapatra, A. Perez-Lorenzana. 2002-06-14. Left-right symmetry in 5D and neutrino mass in TeV scale gravity models. https://doi.org/10.1103/physrevd.66.035005

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