Bounds on the Simplest Little Higgs Model Mass Spectrum Through Z Leptonic Decay

Details Bounds on the Simplest Little Higgs Model Mass Spectrum Through Z Leptonic Decay Bounds on the Simplest Little Higgs Model Mass Spectrum Through Z Leptonic Decay

2007-11-07

arxiv.org/abs/0711.1154v2

Phys.Rev.D77:055001,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

New references added, 13 pages. Version to be published

Scientific paper

10.1103/PhysRevD.77.055001

We derive the leptonic neutral current in the simplest little Higgs model and compute the contribution of the model to the decay width $Z \to e^+e^-$. Using the precision electroweak data we obtain a strong lower bound $f\geq 5.6$ TeV at 95% C.L. on the characteristic energy scale of the model. It results in a lower bound for the new gauge bosons $W^{\prime\pm}$ and $Z^{\prime}$ as being $M_{W^{\prime\pm}}\geq 2.6$ TeV and $M_{Z^{\prime}}\geq 3.1$ TeV, respectively. We also present the allowed values of the $k=f_1/f_2$ which is the parameter relating the two vacuum expectation values of the scalar triplets in the model, and the $\mu$ parameter of a quadratic term, involving the triplets, necessary to provide an acceptable mass range for the standard Higgs boson.

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