# The Relation Between Fundamental Constants and Particle Physics Parameters

## TL;DR

This paper investigates how constraints on the variability of fundamental constants like the proton-electron mass ratio and fine structure constant inform limits on the variability of underlying particle physics parameters such as the QCD scale, Higgs VEV, and Yukawa couplings, impacting theories of new physics and cosmology.

## Contribution

It links observational constraints on fundamental constants to bounds on particle physics parameters, providing a framework for testing new physics models.

## Key findings

- Constraints on the variability of $mbda$ and $ta$ limit the parameter space of new physics.
- Model-dependent assumptions yield separate bounds on Higgs VEV and Yukawa couplings.
- Limits on dimensionless constants inform cosmological and particle physics theories.

## Abstract

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.