约束暗能量状态方程和系统函数的生成与分析
Generating and Analyzing Constrained Dark Energy Equations of State and Systematics Functions
摘要：
一些进入宇宙学分析的函数，如暗能量状态方程或系统不确定性，是红移的未知函数。为了包含它们而不假设特定的形式，我们导出了一种有效的方法，用于生成受某些边界或物理条件约束的所有可能函数的实现，例如对于quintessence，w \in [-1，+1]。该方法是最优的，在这个意义上，它是纯粹的和完整的填充主成分的允许空间。该技术适用于传播超新星人口漂移和尘埃校正和校准的系统不确定性，通过宇宙学参数估计和偏见的星等红移哈勃图。我们确定的红移和波段的特定范围内，由于人口的演变和尘埃校正，可以实现超新星系统学的最大改进。
英文摘要：
Some functions entering cosmological analysis, such as the dark energy equation of state or systematic uncertainties, are unknown functions of redshift. To include them without assuming a particular form we derive an efficient method for generating realizations of all possible functions subject to certain bounds or physical conditions, e.g. w\in[-1,+1] as for quintessence. The method is optimal in the sense that it is both pure and complete in filling the allowed space of principal components. The technique is applied to propagation of systematic uncertainties in supernova population drift and dust corrections and calibration through to cosmology parameter estimation and bias in the magnitude-redshift Hubble diagram. We identify specific ranges of redshift and wavelength bands where the greatest improvements in supernova systematics due to population evolution and dust correction can be achieved.
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