The Relation Between Fundamental Constants and Particle Physics Parameters

The observed constraints on the variability of the proton to electron mass ratio $μ$ and the fine structure constant $α$ are used to establish constraints on the variability of the Quantum Chromodynamic Scale and a combination of the Higgs Vacuum Expectation Value and the Yukawa couplings. Further model dependent assumptions provide constraints on the Higgs VEV and the Yukawa couplings separately. A primary conclusion is that limits on the variability of dimensionless fundamental constants such as $μ$ and $α$ provide important constraints on the parameter space of new physics and cosmologies.