Collective Quartics from Simple Groups
Anson Hook, Jay G. Wacker

TL;DR
This paper classifies Little Higgs models with collective quartic couplings, identifying two main classes and highlighting the smallest models within each class, including a previously unconsidered candidate.
Contribution
It introduces a systematic classification of collective quartic models, including the first analysis of the SU(5)/SU(3) x SU(2) x U(1) model as a Little Higgs candidate.
Findings
Identified two classes: Special Cosets and Special Quartics.
Smallest models: SU(5)/SO(5), SU(6)/Sp(6), and SU(5)/SU(3) x SU(2) x U(1).
The SU(5)/SU(3) x SU(2) x U(1) model is a new candidate for Little Higgs models.
Abstract
This article classifies Little Higgs models that have collective quartic couplings. There are two classes of collective quartics: Special Cosets and Special Quartics. After taking into account dangerous singlets, the smallest Special Coset models are SU(5)/SO(5) and SU(6)/Sp(6). The smallest Special Quartic model is SU(5)/SU(3) x SU(2) x U(1) and has not previously been considered as a candidate Little Higgs model.
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