暗物质直接探测的理论偏差分析
Analysis of the theoretical bias in dark matter direct detection
摘要：
当作为数据基础的模型是“B”时，将模型“A”拟合到暗物质直接探测数据，在拟合中引入了理论偏差。我们进行了定量研究的理论偏差在暗物质直接检测，重点是假设有关的暗物质相互作用，和速度分布。我们解决这个问题的有效理论内的同位旋暗物质核子相互作用介导的重自旋1或自旋0粒子。我们分析了24个基准点的参数空间的理论，使用频率论和贝叶斯统计方法。首先，我们模拟了未来的直接探测实验的数据，假设动量/速度依赖的暗物质-核子相互作用，和各向异性的暗物质速度分布。然后，我们拟合一个恒定的散射截面，和各向同性的麦克斯韦-玻尔兹曼速度分布的模拟数据，从而在分析中引入了偏见。暗物质粒子质量的最佳拟合值与其基准值相差达2个标准差。暗物质-核子耦合常数的最佳拟合值与其基准值相差几个标准差。我们的结论是，在暗物质直接检测的共同假设是一个潜在的重大偏见的来源。
英文摘要：
Fitting the model "A" to dark matter direct detection data, when the model that underlies the data is "B", introduces a theoretical bias in the fit. We perform a quantitative study of the theoretical bias in dark matter direct detection, with a focus on assumptions regarding the dark matter interactions, and velocity distribution. We address this problem within the effective theory of isoscalar dark matter-nucleon interactions mediated by a heavy spin-1 or spin-0 particle. We analyze 24 benchmark points in the parameter space of the theory, using frequentist and Bayesian statistical methods. First, we simulate the data of future direct detection experiments assuming a momentum/velocity dependent dark matter-nucleon interaction, and an anisotropic dark matter velocity distribution. Then, we fit a constant scattering cross section, and an isotropic Maxwell-Boltzmann velocity distribution to the simulated data, thereby introducing a bias in the analysis. The best fit values of the dark matter particle mass differ from their benchmark values up to 2 standard deviations. The best fit values of the dark matter-nucleon coupling constant differ from their benchmark values up to several standard deviations. We conclude that common assumptions in dark matter direct detection are a source of potentially significant bias.
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