Quark horizontal flavor symmetry and two-Higgs doublet in (7+1)-dimensional extended spin space

TL;DR

This paper introduces a novel extended spin-space model in 7+1 dimensions that unifies the electroweak quark sector with multiple Higgs doublets, providing insights into mass hierarchies and flavor symmetries.

Contribution

It develops a 7+1 dimensional extended spin space framework that naturally incorporates multiple quark generations, Higgs doublets, and predicts restrictions on additional scalars.

Findings

Derives up to four quark generations with mass properties.

Introduces two-Higgs doublets within the extended spin space.

Provides a hierarchy mechanism for scalar fields within and across generations.

Abstract

An extended spin-space model in $7+1$ dimensions is presented that describes the standard-model electroweak quark sector. Up to four generations of massless and massive quarks and two-Higgs doublets derive from the associated representation space, in addition to the W- and Z-vector bosons. Other mass operators are obtained that put restrictions on additional non-Higgs scalars and their vacuum expectation value. After symmetry breaking, the scalar components give rise to a hierarchy effect vertically (within doublets) associated to the Higgs fields, and horizontally (within generations) associated to the non-Higgs elements.