利用SNIa数据重新讨论暗能量状态方程的参数化
Revisiting the parametrization of Equation of State of Dark Energy via SNIa Data
摘要：
本文回顾了暗能量状态方程的参数化，指出仅仅比较不同拟合的$χ^2$并不能最优地选择“最佳”参数化。提出了另一种基于$w(z) - z$频带面积的用于评估不同参数化的品质因数。根据对一些基于SNIa数据的双参数参数化和模型的分析，$w(z)-z$带的面积似乎是一个很好的品质因数，特别是在不同参数化的$χ^2_{\rm min}$值非常接近的情况下。因此，我们认为，在未来的实验中，选择更好的暗能量参数化时，应综合考虑$w(z)-z$带的面积和$χ^2_{\rm min}$。
英文摘要：
In this paper, we revisit the parameterizations of the equation of state of dark energy and point out that comparing merely the $χ^2$ of different fittings may not be optimal for choosing the "best" parametrization. Another figure of merit for evaluating different parametrizations based on the area of the $w(z) - z$ band is proposed. In light of the analysis of some two-parameter parameterizations and models based on available SNIa data, the area of $w(z)-z$ band seems to be a good figure of merit, especially in the situation that the value of $χ^2_{\rm min}$ for different parametrizations are very close. Therefore, we argue that both the area of the $w(z)-z$ band and $χ^2_{\rm min}$ should be synthetically considered for choosing a better parametrization of dark energy in the future experiments.
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