Physical Consequences of Nonabelian Duality in the Standard Model

TL;DR

This paper explores the physical implications of nonabelian dual symmetry in the standard model, proposing a framework where Higgs fields and fermion generations are naturally integrated, predicting new particles and explaining mass hierarchies.

Contribution

It introduces a novel dual symmetry framework in the standard model, linking Higgs fields and fermion generations to internal symmetry space and dual color, respectively.

Findings

Fermions naturally occur in three generations with a hierarchical mass structure.

The CKM matrix starts as identity and gains mixing through loop corrections.

New vector and Higgs bosons are predicted by the model.

Abstract

Possible physical consequences of a recently discovered nonabelian dual symmetry are explored in the standard model. It is found that both Higgs fields and fermion generations can be assigned a natural place in the dual framework, with Higgs fields appearing as frames (or `N-beins') in internal symmetry space, and generations appearing as spontaneously broken dual colour. Fermions then occur in exactly 3 generations and have a factorizable mass matrix which gives automatically one generation much heavier than the other two. The CKM matrix is the identity at zeroth order, but acquires mixing through higher loop corrections. Preliminary considerations are given to calculating the CKM matrix and lower generation masses. New vector and Higgs bosons are predicted.