选择和协变性对星系团X射线标度关系的影响
Effects of Selection and Covariance on X-ray Scaling Relations of Galaxy Clusters
摘要：
我们探讨了通量限制的选择偏差和可观测性质之间的内禀协方差对星系团标度关系的影响。我们的模型假设在固定质量（M）下，光度（L）和温度（T）之间的对数正态协方差，以不断变化的幂律平均关系为中心，作为宿主晕质量的函数。选择可以模仿进化;来自浅层X射线通量限制样本的\lm和\lt关系将在几乎所有尺度上偏离质量限制预期，而来自深层勘测的关系（$10^{-14} \cgsflux$）在质量高于$\sims 2 \times 10^{14} \hinv \msol$时变得完整，因此是无偏的。我们推导出在固定温度下的光度分布的低阶矩的表达式，并表明在通量有限的样品中观察到的\lt关系的斜率和散射对假设的\lt相关系数敏感。此外，\lt协方差影响的红移行为的晕计数和平均光度的方式，是几乎退化的内在人口演变。
英文摘要：
We explore how the behavior of galaxy cluster scaling relations are affected by flux-limited selection biases and intrinsic covariance among observable properties. Our models presume log-normal covariance between luminosity (L) and temperature (T) at fixed mass (M), centered on evolving, power-law mean relations as a function of host halo mass. Selection can mimic evolution; the \lm and \lt relations from shallow X-ray flux-limited samples will deviate from mass-limited expectations at nearly all scales while the relations from deep surveys ($10^{-14} \cgsflux$) become complete, and therefore unbiased, at masses above $\sims 2 \times 10^{14} \hinv \msol$. We derive expressions for low-order moments of the luminosity distribution at fixed temperature, and show that the slope and scatter of the \lt relation observed in flux-limited samples is sensitive to the assumed \lt correlation coefficient. In addition, \lt covariance affects the redshift behavior of halo counts and mean luminosity in a manner that is nearly degenerate with intrinsic population evolution.
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