In the little Higgs model with T-parity (LHTM), the only tree-level kinematically allowed two-body decay of the ZH boson can be the ZH→AHH decay and thus one-loop induced two-body decays may have a significant rate. We study the ZH→γAH decay, which is induced at the one-loop level by a fermion triangle and is interesting as it depends on the mechanism of anomaly cancelation of the model. All the relevant two- and three-body decays of the ZH gauge boson arising at the tree-level are also calculated. We considered a small region of the parameter space where f is still allowed to be as low as 500 GeV by electroweak precision data. We analyzed the scenario of a Higgs with a mass of 120 GeV. We found that the ZH→γAH branching ratio can be of the order of a tree-level three-body decay and may be at the reach of detection at the LHC for f close to 500 GeV, but it may be difficult to detect for f = 1 TeV . There is also an scenario where the Higgs boson has an intermediate mass such that the ZH→AHH decay is closed, the ZH→γAH gets considerably enhanced and the chances of detection get a large boost.
RADIATIVE DECAY ZH→γAH IN THE LITTLE HIGGS MODEL WITH T-PARITY