Higgs and Bottom Quarks Associated Production at High Energy Colliders in the Littlest Higgs Model with T-Parity

In the littlest Higgs Model with T-parity, we discuss the Higgs production in association with bottom quarks at the LHC and future electron-positron collider. We calculate the cross sections of production channels $pp\to b\overline{b}H$, $b\overline{b}\to H$ and bg → bH at 14 TeV LHC and the cross sections of production channel $e^{+}{e}^{-}\to b\overline{b}H$ in (un)polarized beams at the lowest order. In order to investigate the observability, we display some typical final state distributions in the Higgs to diphoton channel. (paper)