A recent study has developed a comprehensive theoretical framework to investigate Dirac fermionic dark matter (DM), extending the Standard Model Effective Field Theory (SMEFT). This work establishes a robust methodology to connect new high-energy scale physics with current experimental observations. Researchers derived the anomalous-dimension matrix for all relevant dimension-five and dimension-six operators involving Standard Model and dark matter fields. This enables consistent evolution of the associated Wilson coefficients across different energy scales, a crucial step for interpreting experimental data in terms of possible dark matter interactions.
The research combines renormalization-group running with matching at relevant energy thresholds, creating a reliable bridge between high-scale physics and experimental observables. A comprehensive phenomenological analysis was performed, evaluating the contributions of these operators to a wide range of observables and deriving constraints on the Wilson coefficients from existing data. This approach allows for the exploration of dark matter interactions that could manifest indirectly through known processes.
The study obtained stringent and complementary limits on the dark matter effective field theory (DMEFT) Wilson coefficients. These constraints come from various sources, including electroweak precision observables, flavor processes, lepton-flavor-violating decays, top-quark flavor-changing neutral-current decays, and invisible meson decays. Interpreting these limits in terms of the effective scale of new physics reveals that current precision measurements are sensitive to energy scales ranging from the TeV regime to several tens or even hundreds of TeV.
These results highlight the remarkable sensitivity of indirect searches to dark-sector interactions. The ability to probe such high energy scales through precision laboratory measurements underscores the importance of these theoretical analyses for guiding future experimental searches for dark matter and for understanding physics beyond the Standard Model.