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We extend the calculation of dark matter direct detection rates viaelectronic transitions in general dielectric crystal targets, combiningstate-of-the-art density functional theory calculations of electronic bandstructures and wave functions near the band gap, with semi-analyticapproximations to include additional states farther away from the band gap. Weshow, in particular, the importance of all-electron reconstruction forrecovering large momentum components of electronic wave functions, which,together with the inclusion of additional states, has a significant impact ondirect detection rates, especially for heavy mediator models and at$\mathcal{O}(10\,\text{eV})$ and higher energy depositions. Applying ourframework to silicon and germanium (that have been established already assensitive dark matter detectors), we find that our extended calculations canappreciably change the detection prospects. Our calculational framework isimplemented in an open-source program $\texttt{EXCEED-DM}$ (EXtendedCalculation of Electronic Excitations for Direct detection of Dark Matter), tobe released in an upcoming publication.

Extended Calculation of Dark Matter-Electron Scattering in Crystal Targets