The Framed Standard Model (I) - A Physics Case for Framing the Yang-Mills Theory?

TL;DR

The paper proposes a framed Standard Model incorporating framons as field variables, explaining phenomena like fermion generations, mass hierarchies, mixing, and CP violation, with implications for Higgs decay and dark matter.

Contribution

It introduces framons into the gauge theory of the Standard Model, providing a unified explanation for fermion generations, mass hierarchies, and mixing phenomena.

Findings

Rotating mass matrices explain CKM and neutrino oscillations

Hierarchical fermion masses emerge naturally

Solution to the strong-CP problem via theta-angle transformation

Abstract

Introducing, in the underlying gauge theory of the Standard Model, the frame vectors in internal space as field variables (framons), in addition to the usual gauge boson and matter fermions fields, one obtains: * the standard Higgs scalar as the framon in the electroweak sector; * a global $\widetilde{su}(3)$ symmetry dual to colour to play the role of fermion generations. Renormalization via framon loops changes the orientation in generation space of the vacuum, hence also of the mass matrices of leptons and quarks, thus making them rotate with changing scale $\mu$. From previous work, it is known already that a rotatiing mass matrix will lead automatically to: * CKM mixing and neutrino oscillations, * hierarachical masses for quarks and leptons, * a solution to the strong-CP problem transforming the theta-angle into a Kobayashi-Maskawa phase. Here in the FSM, the renormalization group equation has some special properties which explain the main qualitative feaures seen in experiment both for mixing matrices of quarks and leptons, and for their mass spectrum. Quantitative results will be given in (II). The paper ends with some tentative predictions on Higgs decay, and with some speculations on the origin of dark matter.