Abstract
We present a calculation of the next-to-leading order QCD corrections for the scattering of Dark Matter particles off nucleons in the framework of simplified models with s- and t-channel mediators. These results are matched to the Wilson coefficients and operators of an effective field theory that is generally used for the presentation of experimental results on spin-independent and spin-dependent direct detection rates. Detailed phenomenological studies illustrate the complementary reach of collider searches for Dark Matter and the direct detection experiments CRESST and XENON. In the case of cancellation effects in the tree-level contributions, one-loop corrections can have a particularly large impact on exclusion limits in the case of combined s + t-channel models.
Highlights
(corresponding postulated particles are new types of neutrinos [4,5], axions – light particles introduced to resolve the strong CP problem of QCD [6,7] that could account for Dark Matter (DM) if their masses were in the meV range [8] – or weakly interacting massive particles (WIMPs) with a mass in the few-hundred GeV range
For our work we focused on simplified models for the DM-nucleon interaction with particular focus on a t-channel and an s + t-channel model, the latter including the interaction terms of a simple s-channel model
In order to identify predictions obtained within these models with experimental results that are presented in terms of effective field theories (EFTs) expressions, we performed a matching of simplified model amplitudes to corresponding EFT quantities in terms of Wilson coefficients and effective operators
Summary
This approach requires ways to constrain mass, spin, and coupling strengths of the DM candidate and the mediator particle. Such information is extracted from and cross-checked among conceptually entirely different types of searches. One can distinguish three major types of experiments searching for Dark Matter: Indirect, astrophysical searches aiming to detect SM signatures resulting from DM annihilation processes; searches for DM production at high-energy colliders; and direct detection experiments that are designed to identify the recoil a DM particle causes in a nuclear target. Depending on the design of a specific direct detection experiment, its sensitivity is typically tailored to a particular mass range of the DM candidate: Detectors making use of dual-phase time projection cham-
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