T-parity, its problems and their solution

TL;DR

This paper identifies fundamental issues in T-parity little-Higgs models, proposes a solution, and constructs a T-invariant Littlest Higgs extension predicting new T-odd particles at the weak scale.

Contribution

It reveals overlooked problems in existing T-parity models and offers a novel model-building approach to overcome these issues.

Findings

Existing models suffer from electroweak corrections or collective breaking failure

Proposes a new model-building recipe for T-parity models

Predicts additional T-odd pseudo-Goldstone bosons at the weak scale

Abstract

We point out a basic difficulty in the construction of little-Higgs models with T-parity which is overlooked by large part of the present literature. Almost all models proposed so far fail to achieve their goal: they either suffer from sizable electroweak corrections or from a breakdown of collective breaking. We provide a model building recipe to bypass the above problem and apply it to build the simplest T-invariant extension of the Littlest Higgs. Our model predicts additional T-odd pseudo-Goldstone bosons with weak scale masses.