Gauge hierarchy problem, supersymmetry, and fermionic symmetry

Abstract

We reconsider the gauge hierarchy problem from the viewpoint of effective field theories and a high-energy physics, motivated by the alternative scenario that the standard model holds up to a high-energy scale such as the Planck scale. The problem is restated as the question whether it is possible to construct a low-energy effective theory and the interaction with heavy particles, without spoiling the structure of a high-energy physics supported by an excellent concept. Based on this reinterpretation, we give a conjecture that theories with hidden fermionic symmetries can be free from the gauge hierarchy problem and become candidates of the physics beyond and/or behind the standard model, and present toy models with particle-ghost symmetries as illustrative examples and a prototype model for the grand unification.