Unitary Kinematic Mixing of Electro-Weak Bosons

TL;DR

This paper develops kinematic relationships between unitarily mixed momentum-space spinors in the electroweak model, providing new insights consistent with current experimental results.

Contribution

It introduces a novel kinematic framework for analyzing electroweak boson mixing using unitarily mixed spinors, supplementing standard model predictions.

Findings

Kinematic relationships are consistent with experimental measurements.

New invariants relate to electroweak boson mixing.

Provides a basis for further theoretical exploration.

Abstract

In the standard model, electro-weak bosons are developed as gauge-fields initially satisfying an SU(2) $\times$ U(1) local symmetry mediating interactions with a multi-component field. This symmetry gets broken when the component of the field associated with the (scalar) Higgs boson acquires a non-vanishing expectation value, generating masses for weak vector bosons (W$^+$,W$^-$,Z) as well as a massless photon (A) which couples to electric charge. Beyond an expression relating the masses of the W and Z bosons, there are few predictions concerning further relationships involving the Higgs mass or mixing angle. In this paper, kinematic relationships between unitarily mixed momentum-space spinors (supplemental to standard electro-weak modeling) will be developed. These relationships expressed in terms of kinematic invariants are shown to be consistent with current measured results.