Developing the Framed Standard Model

TL;DR

The paper develops the framed standard model further, demonstrating it can naturally produce hierarchical fermion masses and mixing matrices, while also addressing the strong CP problem through a novel transformation of the theta-angle.

Contribution

It extends the framed standard model to explain fermion mass hierarchies, mixing, and CP violation within a unified gauge theory framework.

Findings

Fermion masses and mixings resemble experimental observations.

The model offers a solution to the strong CP problem.

The fermion mass matrix is universal, rank-one, and scale-dependent.

Abstract

The framed standard model (FSM) suggested earlier, which incorporates the Higgs field and 3 fermion generations as part of the framed gauge theory structure, is here developed further to show that it gives both quarks and leptons hierarchical masses and mixing matrices akin to what is experimentally observed. Among its many distinguishing features which lead to the above results are (i) the vacuum is degenerate under a global $su(3)$ symmetry which plays the role of fermion generations, (ii) the fermion mass matrix is "universal", rank-one and rotates (changes its orientation in generation space) with changing scale $\mu$, (iii) the metric in generation space is scale-dependent too, and in general non-flat, (iv) the theta-angle term in the QCD action of topological origin gets transformed into the CP-violating phase of the CKM matrix for quarks, thus offering at the same time a solution to the strong CP problem.