Gauge Couplings and Group Dimensions in the Standard Model

TL;DR

This paper proposes that the ratios of gauge couplings in the Standard Model are influenced by the dimensions of their gauge groups, with potential deviations from quantum effects, offering a new perspective on coupling unification.

Contribution

It introduces a reinterpretation of gauge couplings in the Standard Model by incorporating group dimension factors into the gauge field terms, suggesting a geometric origin of coupling ratios.

Findings

Coupling ratios may be primarily determined by gauge group dimensions

Quantum corrections could cause deviations from these dimension-based ratios

Provides a new geometric perspective on gauge coupling relationships

Abstract

The gauge field term in the Standard Model Lagrangian is slightly rewritten, suggesting that the three gauge couplings have absorbed factors which depend on the dimensions of the corresponding gauge groups. The ratios of the physical couplings may turn out to be dominated by these factors, with deviations due to quantum corrections.