无质量假设的与晕无关的直接探测分析
Halo-Independent Direct Detection Analyses Without Mass Assumptions
摘要：
直接探测实验的结果通常解释采用假设的暗物质的速度分布，结果在$m_χ-σ_n$平面。最近的方法是独立的DM晕速度分布已经开发出目前的结果在$v_{min}-\tilde{g}$平面，但这些反过来又需要一个假设的暗物质质量。在这里，我们提出了一个扩展的这些晕独立的方法暗物质直接检测，不需要一个基准选择的暗物质质量。通过将变量从$v_{min}$变换为核反冲动量（$p_R$），可以将任意暗物质质量的实验结果中与晕无关的全部内容压缩为一个新的晕积分变量（我们称之为$\tilde{h}(p_R)$）的函数。所有DM质量的常规非晕圈依赖性$\tilde{g}(v_{min})$图的整个系列通过简单的轴重标度直接从单个$\tilde{h}(p_R)$图中找到。通过考虑$\tilde{h}(p_R)$空间中的结果，人们可以确定两个实验是否对所有质量和所有物理上可能的晕不一致，或者对于暗物质质量的范围，结果对所有晕不一致，而不需要对不同的DM质量进行多个$\tilde{g}(v_{min})$图。我们进行了一个样本分析比较CDMS II Si事件的LUX，XENON10，和SuperCDMS使用我们的方法的零结果，并讨论如何通过施加一个有限的晕逃逸速度的物理合理的要求，可以加强质量无关的限制。
英文摘要：
Results from direct detection experiments are typically interpreted by employing an assumption about the dark matter velocity distribution, with results presented in the $m_χ-σ_n$ plane. Recently methods which are independent of the DM halo velocity distribution have been developed which present results in the $v_{min}-\tilde{g}$ plane, but these in turn require an assumption on the dark matter mass. Here we present an extension of these halo-independent methods for dark matter direct detection which does not require a fiducial choice of the dark matter mass. With a change of variables from $v_{min}$ to nuclear recoil momentum ($p_R$), the full halo-independent content of an experimental result for any dark matter mass can be condensed into a single plot as a function of a new halo integral variable, which we call $\tilde{h}(p_R)$. The entire family of conventional halo-independent $\tilde{g}(v_{min})$ plots for all DM masses are directly found from the single $\tilde{h}(p_R)$ plot through a simple rescaling of axes. By considering results in $\tilde{h}(p_R)$ space, one can determine if two experiments are inconsistent for all masses and all physically possible halos, or for what range of dark matter masses the results are inconsistent for all halos, without the necessity of multiple $\tilde{g}(v_{min})$ plots for different DM masses. We conduct a sample analysis comparing the CDMS II Si events to the null results from LUX, XENON10, and SuperCDMS using our method and discuss how the mass-independent limits can be strengthened by imposing the physically reasonable requirement of a finite halo escape velocity.
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