# The Relation between Fundamental Constants and Particle Physics Parameters

Steward Observatory and Department of Astronomy, University of Arizona, Tucson, AZ 85721, USA

Academic Editors: Mariusz P. Dąbrowski, Manuel Krämer and Vincenzo Salzano

Received: 16 December 2016 / Revised: 12 January 2017 / Accepted: 13 January 2017 / Published: 24 January 2017

(This article belongs to the Special Issue Varying Constants and Fundamental Cosmology)

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.

*Keywords:*fundamental constants; particle physics; cosmology