Effects of the parity-odd singlet on the N=1 supergravity theory within the left-right symmetric model
We study the N=1 supergravity theory within the left-right symmetric model, based on the gauge symmetry SU(2)L×SU(2)R×U(1)B-L, when the parity-odd singlet field is added, in addition to the minimal set of Higgs fields. This model allows for a vacuum solution with the hierarchy ratio η = (mWR/mWL) >1. Also, the gravitino mass is likely to set the scale of mWL rather than the one of mWR. These features of the presented model should be contrasted with the results of the left-right symmetric model with the minimal set of Higgs fields, where η < O(10) and the gravitino mass naturally sets the scale of mWR.