  Many new physics models beyond the standard model, such as the littlest higgs
models and the left right twin higgs models, predict the existence of the large
charged higgs couplings H^-q\bar b and H^+b\bar q, where q=t or the new
vector-like heavy quark T; On the other hand, some new physics models like the
littlest higgs also predict the gauge-higgs couplings. Such couplings may have
rich collider phenomenology. We focus our attention on these couplings induced
by the littlest higgs models and the left right twin higgs models models and
consider their contributions to the production cross section for W^\pm H^\mp
production at the large hadron colliders. We find that the cross sections, in
the littlest higgs models, on the parton level gg \to W^\pm H^\mp and q\bar q
\to W^\pm H^\mp (q=u,d,s,c,b) may reach tens of several dozen femtobarns in
reasonable parameters space at the collision energy of 14 TeV and that the
total cross section can even reach a few hundred femtobarns in certain favored
space. While in the left right twin higgs models, the production rates are
basically one order lower than these in littlest higgs. Therefore, due to the
large cross sections of that in the littlest higgs, it may be possible to probe
the charged higgs via this process in a large parameter space.
