Gauge hierarchy in an SO(10) supersymmetric grand unified model

Abstract

Constructs an SO(10) supersymmetric grand unified model in which the gauge hierarchy problem may be solved. Using Higgs superfields belonging to the SO(10) representations 16, 10 and 54, it is found that if SO(10) is broken down to SU(3)c*SU(2)L*U(1) via SO(6)*SO(4) approximately SU(4)c*SU(2)L*SU(2)R at unification mass scales without supersymmetry breaking, the gauge hierarchy puzzle might be carried away. It is also shown that the colour-triplet Higgs, which mediates proton decay, is superheavy by an incredibly accurate, but 'natural' adjustment of parameters in the potential.