直接检测数据的相容性评估：Halo独立全局似然分析
Assessing Compatibility of Direct Detection Data: Halo-Independent Global Likelihood Analyses
摘要：
我们提出了两种不同的晕独立的方法来评估几个直接的暗物质检测数据集的兼容性为一个给定的暗物质模型使用的全球似然组成的至少一个扩展的可能性和任意数量的高斯或泊松似然。在第一种方法中，我们找到了全局最佳拟合晕函数（我们证明了它是一个独特的分段常数函数，其下降步长小于或等于我们计算的最大值），并在任何期望的置信水平下构建了一个双侧逐点置信带，然后可以将其与仅从扩展似然法获得的置信带进行比较，以评估数据的联合相容性。在第二种方法中，我们定义了一个“约束参数拟合优度”检验统计量，然后我们使用其$p$值来定义“可扩展性区域”（例如，其中$p \geq 10\%$）。对于不完全包含在可兼容性区域内的任何晕圈函数，数据的兼容性级别非常低（例如$p < 10 \%$）。我们通过将它们应用于CDMS-II-Si和SuperCDMS数据来说明这些方法，假设暗物质粒子具有弹性自旋独立的同位旋守恒相互作用或放热自旋独立的同位旋破坏相互作用。
英文摘要：
We present two different halo-independent methods to assess the compatibility of several direct dark matter detection data sets for a given dark matter model using a global likelihood consisting of at least one extended likelihood and an arbitrary number of Gaussian or Poisson likelihoods. In the first method we find the global best fit halo function (we prove that it is a unique piecewise constant function with a number of down steps smaller than or equal to a maximum number that we compute) and construct a two-sided pointwise confidence band at any desired confidence level, which can then be compared with those derived from the extended likelihood alone to assess the joint compatibility of the data. In the second method we define a "constrained parameter goodness-of-fit" test statistic, whose $p$-value we then use to define a "plausibility region" (e.g. where $p \geq 10\%$). For any halo function not entirely contained within the plausibility region, the level of compatibility of the data is very low (e.g. $p < 10 \%$). We illustrate these methods by applying them to CDMS-II-Si and SuperCDMS data, assuming dark matter particles with elastic spin-independent isospin-conserving interactions or exothermic spin-independent isospin-violating interactions.
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