Choosing an Expansion Parameter for Quantum Chromodynamics

When expanded in powers of α where α is chosen to satisfy ${{α}}({{Q}₀}²)={4{π}}{{{β}}₀ln({{{Q}₀}²}{{{Λ}}²})}={{α}}_{{-}{MS}}({{Q}₀}²)$ with ${{Q}₀}²{≈}10$ Ge${V}²$, the quantum chromodynamics (QCD) perturbation series seems to be extremely well behaved. In particular, the large third-order corrections discussed recently by Moshe do not appear when this ${{α}}$ is used as the QCD expansion parameter.