Dark matter annual modulation analysis with combined nuclear and electron recoil channels

After decades of experimental efforts, the DAMA/LIBRA(DL) annual modulation (AM) analysis on the $ \chi \mathrm{N}$ (WIMP dark matter interactions on nucleus) channel remains the only one which can be interpreted as positive signatures. This has been refuted by numerous time-integrated (TI) and AM analysis. It has been shown that $ \chi \mathrm{e}$ (WIMP interactions with electrons) alone is not compatible with the DL AM data. We expand the investigations by performing an AM analysis with the addition of $ \chi \mathrm{e}$ long-range and short-range interactions to $ \chi \mathrm{N}$, derived using the frozen core approximation method. Two scenarios are considered, where the $ \chi \mathrm{N}$ and $ \chi \mathrm{e}$ processes are due to a single $ \chi $ ($ {\mathrm{\Gamma }}_{\mathrm{tot}}^{1\chi }$) or two different $ \chi $'s ($ {\mathrm{\Gamma }}_{\mathrm{tot}}^{2\chi }$). The combined fits with $ \chi \mathrm{N}$ and $ \chi \mathrm{e}$ provide stronger significance to the DL AM data which are compatible with the presence of additional physical effects beyond $ \chi \mathrm{N}$ alone. This is the first analysis which explores how $ \chi \mathrm{e}$ AM can play a role in DL AM. The revised allowed regions as well as the exclusion contours from the other null AM experiments are presented. All DL AM allowed parameter spaces in $ \chi \mathrm{N}$ and $ \chi \mathrm{e}$ channels under both $ {\mathrm{\Gamma }}_{\mathrm{tot}}^{1\chi }$ and $ {\mathrm{\Gamma }}_{\mathrm{tot}}^{2\chi }$ are excluded at the 90% confidence level by the combined null AM results. It can be projected that DL-allowed parameter spaces from generic models with interactions induced by two-WIMPs are ruled out.