Left-right symmetry and neutrino masses in a nonperturbative unification framework.

Abstract

Within the nonperturbative unification framework pioneered by Maiani, Parisi, and Petronzio, it is shown how the mass of the right-handed $W$ boson can be determined just by knowledge of the values of ${sin}^{2}{\ensuremath{\theta}}_{W}$ and ${\ensuremath{\alpha}}_{3}(\ensuremath{\equiv}\frac{{g}_{3}^{2}}{4\ensuremath{\pi}})$ at the Fermi scale ${\ensuremath{\Lambda}}_{F}\ensuremath{\approx}250$ GeV. It is found that ${M}_{{W}_{R}}$ can be as low as 8 TeV and, as a consequence, it may be possible to detect ${W}_{R}$ at the proposed Superconducting Super Collider. In the model considered here, light Majorana neutrino masses are found to be small ( 65 eV).