Higher dimensional operators and low energy left-right symmetry

Abstract

We consider higher dimensional operators due to quantum gravity or spontaneous compactification of extra dimensions in Kaluza-Klein type theory and their effect in the SO(10) lagrangian. These operators change the boundary conditions at the unification scale. As a result one can allow left-right symmetry to survive till very low energy (as low as ∼ TeV) for a wide range of values for the coupling of these higher dimensional operators and still make the theory compatible with the latest values of sin2θw and αs derived from LEP. We consider both non-supersymmetric and supersymmetric cases with standard Higgses. Proton lifetime is very large in these theories.