The Relation Between Fundamental Constants and Particle Physics
  Parameters
  The observed constraints on the variability of the proton to electron mass
ratio $\mu$ and the fine structure constant $\alpha$ 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 $\mu$ and $\alpha$
provide important constraints on the parameter space of new physics and
cosmologies.
