Abstract
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.
Highlights
Over the past two decades, there has been a renewed interest in measuring fundamental dimensionless constants such as the proton to electron mass ratio μ and the fine structure constant α in the early universe
Modulo some possibilities discussed at this conference, impressive constraints on the variation of μ and α have been established over time periods that span a significant fraction of the age of the universe. The implications of those constraints are examined in terms of the stability of three basic physics parameters: the Quantum Chromodynamic Scale ΛQCD, the Higgs
It is difficult to test for time variability of the primary particle physics parameters such as the Quantum Chromodynamic Scale, the Higgs Vacuum Expectation Value and the Yukawa couplings
Summary
Over the past two decades, there has been a renewed interest in measuring fundamental dimensionless constants such as the proton to electron mass ratio μ and the fine structure constant α in the early universe. Previous reports of a possible variation of α [1] spurred significant efforts to account for the variation in terms of varying ΛQCD , ν and h [2,3,4,5,6,7,8,9,10]. These efforts form the basis of the present work except that the process is reversed in that constraints on the variability of the physics parameters is established in terms of the limits on the variability of μ and α. It is the primary reference in this work
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