Left-right symmetry in 5D and neutrino mass in TeV scale gravity models
Abstract
We construct a left-right symmetric model based on the gauge group SU(2)L× SU(2)R× 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× U(1)Y× 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 WR 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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