We present a formalism based on chiral effective field theory that incorporates all coherent responses relevant for the analysis of direct-detection dark-matter searches. The nuclear response functions are derived, including contributions from one- and two-body nuclear currents as well as interference terms between the different channels. The corresponding structure factors for the isotopes currently used in direct-detection
experiments are evaluated using state-of-the-art nuclear structure calculations. We present first results for extended analyses of direct-detection experiments based on a minimal set of coherently enhanced responses beyond the standard spin-independent analysis.