Signatures of extra gauge bosons in the littlest Higgs model with T parity at future colliders

We study the collider signatures of a T-odd gauge boson WH pair production in the littlest Higgs model with T parity (LHT) at Large Hadron Collider (LHC) and Linear Collider (LC). At the LHC, we search for the WH boson using its leptonic decay, i.e. pp→WH+WH-→AHAH +ν ′-ν̄ ′, which gives rise to a collider signature of +′-+E T. We demonstrate that the LHC not only has a great potential of discovering the WH boson in this channel, but also can probe enormous parameter space of the LHT. Because of four missing particles in the final state, one cannot reconstruct the mass of WH at the LHC. But such a mass measurement can be easily achieved at the LC in the process of e+e-→WH+WH-→AHAHW+W-→AHAHjjjj. We present an algorithm of measuring the mass and spin of the WH boson at the LC. Furthermore, we illustrate that the spin correlation between the W boson and its mother particle (WH) can be used to distinguish the LHT from other new physics models.