Abstract:In the Littlest Higgs model with T -parity (LHT), the T -odd heavy photon (A H ) is weakly interacting and can play the role of dark matter. We investigate the lower limit on the mass of A H dark matter under the constraints from Higgs data, EWPOs, R b , Planck 2015 dark matter relic abundance, PandaX-II/LUX 2016 direct detections and LHC-8 TeV monojet results. We find that (1) Higgs data, EWPOs and R b can exclude the mass of A H up to 99 GeV. To produce the correct dark matter relic abundance, A H has to co-annihilate with T -odd quarks (q H ) or leptons ( H ); (2) the LUX (PandaX-II) 2016 data can further exclude m A H < 380(270) GeV for H -A H co-annihilation and m A H < 350(240) GeV for q H − A H co-annihilation; (3) LHC-8 TeV monojet result can give a strong lower limit, m A H > 540 GeV, for q H -A H co-annihilation; (4) future XENON1T (2017) experiment can fully cover the parameter space of H -A H co-annihilation and will push the lower limit of m A H up to about 640 GeV for q H -A H co-annihilation.