  We present weakly interacting massive particles (WIMPs) search results
performed using two approaches of effective field theory from the China Dark
Matter Experiment (CDEX), based on the data from both CDEX-1B and CDEX-10
stages. In the nonrelativistic effective field theory approach, both
time-integrated and annual modulation analyses were used to set new limits for
the coupling of WIMP-nucleon effective operators at 90% confidence level (C.L.)
and improve over the current bounds in the low $m_{\chi}$ region. In the chiral
effective field theory approach, data from CDEX-10 were used to set an upper
limit on WIMP-pion coupling at 90% C.L. We for the first time extended the
limit to the $m_{\chi}<$ 6 GeV/$c^2$ region.
