Heavy neutral pseudoscalar decays into gauge bosons in the Littlest Higgs Model

We study two-body decays of a new neutral pseudoscalar into gauge bosons within the context of the Littlest Higgs model. Concretely, the $\Phi^P \to WW, VV, gg$processesinducedattheone-looplevel,with$V=\gamma, Z$, are considered. Since the branching ratios of the ${\mathrm{\Phi }}^P\to VV$ decays result very suppressed, only the ${\mathrm{\Phi }}^P\to WW,gg$ processes are thoroughly studied. The branching ratios for the ${\mathrm{\Phi }}^P\to gg$ and ${\mathrm{\Phi }}^P\to WW$ decays are of the order of ${10}^{-4}$ and ${10}^{-6}$, respectively, for $f$ around 2 TeV, which represents the global symmetry breaking scale of the theory. The production cross section of the ${\mathrm{\Phi }}^P$ boson via gluon fusion at LHC is estimated.