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We analyse the consequences of the little Higgs model for double Higgs boson production at the LHC and for the partial decay width of the Higgs into two photons. In particular, we study the sensitivity of these processes in terms of the parameters of the model. We find that the little Higgs model contributions are proportional to (v/f)^4 and hence do not change significantly either single or double Higgs production at hadron colliders or the partial decay width of the Higgs into two photons as compared to the standard model predictions. However, when interference and mixing effects are properly taken into account these contributions increase to be of the order of (v/f)^2.
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In the framework of the simplest little Higgs model (SLHM), we study the production of a pair of neutral CP-even Higgs bosons at the LHC. First, we examine the production rate and find that it can be significantly larger than the SM prediction. Then we investigate the decays of the Higgs-pair and find that for a low Higgs mass their dominant decay mode is hh->etaetaetaeta (eta is a CP-odd scalar) while hh->bbar{b}etaeta and hh->etaeta WW may also have sizable ratios. Finally, we comparatively study the rates of pp-> hh -> bbar{b}tau^+ tau^-, pp->hh->bbar{b}gammagamma, and pp->hh->WWWW in the SLHM and the littlest Higgs models (LHT). We find that for a light Higgs, compared with the SM predictions, all the three rates can be sizably enhanced in the LHT but severely suppressed in the SLHM; while for an intermediately heavy Higgs, both the LHT and SLHM can enhance sizably the SM predictions.
We consider an extra dimensional model where the quadratically divergent top loop contribution to the Higgs mass is cancelled by an uncolored heavy top quirk charged under a different SU(3) gauge group. The cancellation is enforced by bulk gauge symmetries. Thus we have an unusual type of little Higgs model which has some quirky signatures. The top partner in this model could be identified at the Large Hadron Collider due to macroscopic strings that connect quirk and anti-quirks. The model can undergo radiative electroweak symmetry breaking and is consistent with precision electroweak measurements.
Little Higgs models with T-parity have a new source of lepton flavour violation. In this paper we consider the anomalous magnetic moment of the muon gmtwo and the lepton flavour violating decays mutoeg and tautomug in Little Higgs model with T-parity cite{Goyal:2006vq}. Our results shows that present experimental constraints of mutoeg is much more useful to constrain the new sources of flavour violation which are present in T-parity models.
The simplest little Higgs model predicts a light pseudoscalar boson $eta$ and opens up some new decay modes for $Z$-boson, such as $Z to bar{f} f eta$, $Zto etaetaeta$, $Zto etagamma$ and $Zto eta gg$. We examine these decay modes in the parameter space allowed by current experiments, and find that the branching ratios can reach $10^{-7}$ for $Zto bar{b}beta$, $10^{-8}$ for $Zto bar{tau}taueta$, and $10^{-8}$ for $Zto etagamma$, which should be accessible at the GigaZ option of the ILC. However, the branching ratios can reach $10^{-12}$ for $Zto etaetaeta$, and $10^{-11}$ for $Zto eta gg$, which are hardly accessible at the GigaZ option.
In this note we examine the constraints imposed by muon anomalous magnetic moment ($(g-2)_mu$) and $mu^- to e^+ e^- e^-$ on lepton number violating (LNV) couplings of the triplet Higgs in Little Higgs (LH) model.
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