2009/04/10 by Benjamín Grinstein, Randall Kelley, Patipan Uttayarat
Physics and Astronomy · #Fine-tuning #Higgs boson #Higgs field #Higgs sector #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Quark #Standard Model (mathematical formulation) #Symmetry (geometry) #Top quark #Top quark condensate #hep-ph #hep-th
paper · pdf · doi:10.1088/1126-6708/2009/09/040
published as JHEP 0909:040,2009 · 15 pages, 1 figure
arxiv created 2009/04/10 · openalex publication_date 2009/09/07 · arxiv updated 2010/12/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In little higgs models a collective symmetry prevents the higgs from acquiring a quadratically divergent mass at one loop. By considering first the littlest higgs model we show that this requires a fine tuning: the couplings in the model introduced to give the top quark a mass do not naturally respect the collective symmetry. We show the problem is generic: it arises from the fact that the would be collective symmetry of any one top quark mass term is broken by gauge interactions.