Constraining the Littlest Higgs

Abstract

Little Higgs models offer a new way to address the hierarchy problem, and give rise to a weakly-coupled Higgs sector. These theories predict the existence of new states which are necessary to cancel the quadratic divergences of the Standard Model. The simplest version of these models, the Littlest Higgs, is based on an $SU(5)/SO(5)$ non-linear sigma model and predicts that four new gauge bosons, a weak isosinglet quark, $t^{\prime }$, with $Q=2/3$, as well as an isotriplet scalar field exist at the TeV scale. We consider the contributions of these new states to precision electroweak observables, and examine their production at the Tevatron. We thoroughly explore the parameter space of this model and find that small regions are allowed by the precision data where the model parameters take on their natural values. These regions are, however, excluded by the Tevatron data. Combined, the direct and indirect effects of these new states constrain the `decay constant' $f\gsim 3.5$ TeV and $m_{t'}\gsim 7 $ TeV. These bounds imply that significant fine-tuning be present in order for this model to resolve the hierarchy problem.

31 pgs, 26 figures; bound on t' mass fixed to mt'>2f, conclusions unchanged

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Cited by in corpus (171)

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• New Physics Contribution to Neutral Trilinear Gauge Boson Couplings
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• The impossibility of heavy neutrino dark matter in the Littlest Higgs Model with T-parity: constraints from direct search
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• Darkening the Little Higgs
• The Higgs effective potential in the Littlest Higgs model at the one-loop level
• Single production of charged gauge bosons from little Higgs models in association with top quark at the $LHC$
• Radiative corrections to the Higgs potential in the LH model
• Direct search limits on the Littlest Higgs model
• Production of mirror fermions via $e\gamma$ and $ep$ collisions in the littlest Higgs model with T-parity
• On the electroweak symmetry breaking in the Littlest Higgs model
• On-shell $WW\gamma$ vertex in the T-Parity and non T-Parity Littlest Higgs model
• Top quark pair production via $e^{+}{e}^{-}$ collision in the littlest Higgs model with T-parity at the ILC
• Third-generation-philic Hidden Naturalness
• Custodial Symmetry (Violation) in SMEFT
• Associated production of the scalars and new gauge bosons from a little Higgs model at the LHC
• Testing the Littlest Higgs Model with T-parity in Bottom Quark Pair Production at High Energy Photon Colliders
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• One-loop QCD correction to top pair production in the littlest Higgs model with T-parity at the LHC
• The Electroweak Symmetry Breaking Riddle
• $HZ$ associated production at the LHC within the littlest Higgs model at NLO+NLL accuracy