Collective Quartics and Dangerous Singlets in Little Higgs

Details Collective Quartics and Dangerous Singlets in Little Higgs Collective Quartics and Dangerous Singlets in Little Higgs

2008-12-15

arxiv.org/abs/0812.2477v3

JHEP 0903:137,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages; v2: clarified the existing literature; v3: version to appear in JHEP

Scientific paper

10.1088/1126-6708/2009/03/137

Any extension of the standard model that aims to describe TeV-scale physics without fine-tuning must have a radiatively-stable Higgs potential. In little Higgs theories, radiative stability is achieved through so-called collective symmetry breaking. In this letter, we focus on the necessary conditions for a little Higgs to have a collective Higgs quartic coupling. In one-Higgs doublet models, a collective quartic requires an electroweak triplet scalar. In two-Higgs doublet models, a collective quartic requires a triplet or singlet scalar. As a corollary of this study, we show that some little Higgs theories have dangerous singlets, a pathology where collective symmetry breaking does not suppress quadratically-divergent corrections to the Higgs mass.

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