Little Higgs: analysis of the channel of doubly charged higgs boson production

The potential for observation of a doubly charged higgs produced by vector boson fusion, $W^+W^+ \to \Phi^{++} \to W^+W^+ \to \ell^+\nu \ell^+\nu$ is here estimated in the context of the Little Higgs model. With an integrated luminosity of 300 fb$^{-1}$, a sensitivity to the vev of the neutral member of the triplet Higgs of 29 GeV and 54 GeV, for masses of 1 TeV and 1.5 teV respectively, is achieved. {\em This note is meant as a supporting document for a global note on signals of the Little Higgs model (ATL-COM-PHYS-2003-040). }