Lepton flavor violating Higgs boson decay h → μτ in the littlest Higgs model with T parity

Inspired by the recent CMS h ->mu tau excess, we calculate the lepton flavor violating Higgs decay h ->mu tau in the littlest Higgs model with T parity (LHT)-> Under the constraints of l(i)-> l(j)gamma, Z -> l(i)l(j) and Higgs data, we find that the branching ratio of h ->mu tau can maximally reach O(10(-4)). We also investigate the correlation between h ->mu tau, tau -> mu tau, and Z ->mu tau, which can be used to test the LHT model at future e(+)e(-) colliders.