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

Abstract

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 $f\ge 5.6$ 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 $M_{W^{\prime \pm }}\ge 2.6$ TeV and $M_{Z^{\prime }}\ge 3.1$ 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.

arXiv commentNew references added, 13 pages. Version to be published

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