Z' Boson Mixings with Z-\gamma and Charge Assignments

TL;DR

This paper classifies various theoretical models of Z' boson mixing with Z and gamma bosons, providing explicit mixing matrices and charge constraints based on anomaly cancellation, advancing understanding of potential new physics scenarios.

Contribution

It introduces a comprehensive classification scheme for Z' models based on their mixing types and explicitly evaluates their mixing matrices, incorporating anomaly cancellation constraints.

Findings

Five classes of Z' models identified and characterized.

Explicit mixing matrices derived for each class.

Charge assignments constrained by anomaly cancellation.

Abstract

Based on the general description for Z'-Z-\gamma mixing as derived from the electroweak chiral Lagrangian, we characterize and classify the various new physics models involving the Z' boson that have appeared in the literature into five classes: 1. Models with minimal Z'-Z mass mixing; 2. Models with minimal Z'-Z kinetic mixing; 3. Models with general Z'-Z mixing; 4. Models with Z'-\gamma kinetic and Z'-Z mixing; and 5. Models with Stueckelberg-type mixing. The corresponding mixing matrices are explicitly evaluated for each of these classes. We constrain and classify the Z' boson charges with respect to quark-leptons by anomaly cancellation conditions.