Assuming for Weakly Interacting Massive Particles (WIMPs) a Maxwellian velocity distribution in the Galaxy we explore in a systematic way the relative sensitivity of an extensive set of existing Dark Matter (DM) direct detection (DD) experiments to operators up to dimension 7 of the relativistic effective field theory describing dark matter interactions with quarks and gluons. We discuss how the mixing of dimension-6 operators due to the running between different energy scales affects the DD bounds and include QCD effects and pion poles that arise in the nonperturbative matching of the effective field theory to the low-energy Galilean-invariant nonrelativistic effective theory describing DM-nucleon interactions. We also show how in most cases a single non-relativistic operator dominates the expected rate at the nucleon scale. This allows to obtain approximate constraints valid for any choice of the parameters of the relativistic theory in terms of model-independent limits on the Wilson coefficients of the non-relativistic theory expressed in terms of the WIMP mass and of the neutron-to-proton coupling ratio $c^n/c^p$. To perform such task we provide a simple interpolating interface in Python.

中文翻译：

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关于目前直接检测实验对 WIMP-夸克和 WIMP-胶子有效相互作用的敏感性：系统评估和新的模型独立方法。

假设弱相互作用的大质量粒子 (WIMP) 是银河系中的麦克斯韦速度分布，我们以系统的方式探索现有的大量暗物质 (DM) 直接探测 (DD) 实验对高达 7 维的算子的相对灵敏度。描述暗物质与夸克和胶子相互作用的相对论有效场论。我们讨论了由于在不同能量尺度之间运行而导致的 6 维算子的混合如何影响 DD 边界，包括 QCD 效应和在有效场理论与低能量伽利略不变非相对论有效场理论的非微扰匹配中出现的介子极点描述 DM-核子相互作用的理论。我们还展示了在大多数情况下，单个非相对论算子如何在核子尺度上支配预期速率。这允许获得对相对论的参数的任何选择有效的近似约束，就非相对论的威尔逊系数的模型无关限制而言，以WIMP质量和中子-质子耦合表示比率 $c^n/c^p$。为了执行这样的任务，我们在 Python 中提供了一个简单的插值接口。