Numerous compelling evidences from astroparticle physics and cosmology indicate that the major matter component in the Universe is dark matter, accounting for about 85% with the remaining 15% is ordinary matter. Nevertheless, people still know little about dark matter, including its mass and other properties. Many models predict dark matter particles could couple to ordinary particle at weak interaction level, so it is possible to capture the signal of dark matter particle in the direct detection experiment.
The scientific goals of the China Dark matter Experiment (CDEX) are on direct detection of light dark matter and neutrino-less double beta decay with p-type point contact germanium (PPCGe) detectors at the China Jinping Underground Laboratory (CJPL).
The measurable energy spectra induced by the elastic scattering between dark matter particles and target nucleons in CDEX detector system could give us the information of dark matter mass, spin, and other properties.
The analysis of the current dark matter experiments is usually model dependent, and many models beyond the standard model have predicted the existence of dark matter, such as super-symmetry model and extra-dimension model.
Due to the variety of physics models, the constraints obtained from same experimental data cannot be applied directly to other models, which brings complications to physical interpretations.
Cosmology observations have verified that the major part of dark matter is the non-relativistic cold dark matter, and as a result, the momentum transfer in the scattering process between dark matter particles and nucleons is only about hundreds of MeV, much lower than the electroweak scale (~250 GeV).
It is therefore suitable to use effective field theory to analyze the interaction between dark matter and ordinary matter.
Two alternative schemes have been proposed in recent years to study different possible interactions, namely non-relativistic effective field theory (NREFT) and chiral effective field theory (ChEFT).
An effective theory contains all possible interactions allowed by given symmetric principles, so it can model-independently reduce the complicacy of analysis.
In the dark matter direct detection experiments, what is mostly focused on are the spin-independent (SI) and spin-dependent (SD) scattering analysis, while EFT can give more momentum-dependent or velocity-dependent interaction which are not taken into consideration usually.
Benefiting from the low electrical noise of PCCGe, the analysis threshold of CDEX-1B and CDEX-10 both reach 160 eV, which can largely improve the detection sensitivity for light dark matter.
Based on the data set of CDEX-1B and CDEX-10, CDEX collaboration presents new limits for the couplings of WIMP-nucleon arising from NREFT and ChEFT.
In the nonrelativistic effective field theory approach, they improve over the current bounds in the low mχ region.
In the chiral effective field theory approach, they for the first time extended the limit on WIMP-pion coupling to the mχ