# On the triplet anti-triplet symmetry in 3-3-1 models

## TL;DR

This paper explores the triplet anti-triplet symmetry in 3-3-1 models, detailing conditions for its realization and analyzing its implications for Z-Z' mixing processes.

## Contribution

It provides a comprehensive set of conditions for realizing the triplet anti-triplet symmetry and applies this understanding to Z-Z' mixing calculations.

## Key findings

- Conditions for triplet anti-triplet symmetry are established.
- Interchanging scalar triplet vacuum expectation values affects Z-Z' mixing.
- Enhanced understanding of symmetry implications in 3-3-1 models.

## Abstract

We present a detailed discussion of the triplet anti-triplet symmetry in 3-3-1 models. The full set of conditions to realize this symmetry is provided, which includes in particular the requirement that the two vacuum expectation values of the two scalar triplets responsible for making the W and Z bosons massive must be interchanged. We apply this new understanding to the calculation of processes that have a Z-Z' mixing.