  Axion and axion-like particle models are typically affected by a strong
fine-tuning problem in conceiving the electroweak and the Peccei-Quinn breaking
scales. Within the context of the Minimal Linear {\sigma} Model, axion-like
particle constructions are identified where this hierarchy problem is solved,
accounting for a TeV Peccei-Quinn breaking scale and a pseudoscalar particle
with a mass larger than 10 MeV. Potential signatures at colliders and
B-factories are discussed.
