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New tests of the cosmic distance duality relation with the baryon acoustic oscillation and type Ia supernovae
The European Physical Journal Plus ( IF 2.8 ) Pub Date : 2020-06-02 , DOI: 10.1140/epjp/s13360-020-00444-2
Bing Xu , Qihong Huang

The cosmic distance duality relation (CDDR), \(\eta (z)\equiv (1+z)^{-2}D_{\mathrm{{L}}}/D_{\mathrm{{A}}}=1\), plays a fundamental role in cosmology and astronomy since any violation of CDDR could be a signal of new physics. In this paper, we re-test the validity of CDDR by using the newest baryon acoustic oscillations (BAO) measurements from baryon oscillation spectroscopic survey data release 12 and the latest Pantheon type Ia supernovae (SNIa) sample. Using three parameterizations of \(\eta (z)\), namely \(\eta (z)=1+\eta _1 z\), \(\eta (z)=1+\eta _2 \frac{z}{1+z}\) and \(\eta (z)=1+\eta _3\mathrm{ln}(1+z)\), and considering the effects of the uncertainty of dimensionless Hubble constant h, we find that the CDDR is valid at \(1\sigma \) confidence level (CL) whether h is free or marginalized over with a flat prior distribution. However, when marginalizing over h with two different Gaussian distributions, we find that the CDDR is valid at \(2\sigma \) CL with \(h=0.6727\pm 0.0060\), while it is valid only at \(4\sigma \) CL with \(h=0.7403\pm 0.0142\). Our results show that although using the newest BAO measurements and Pantheon SNIa sample can significantly improve the accuracy of \(\eta (z)\), more precise data points of angular diameter distance and luminosity distance as well as accurate measurement of h are needed to test the validity of CDDR.



中文翻译:

重子声振荡和Ia型超新星的宇宙距离对偶关系的新检验

宇宙距离对偶关系(CDDR),\(\ eta(z)\ equiv(1 + z)^ {-2} D _ {\ mathrm {{L}}} / D _ {\ mathrm {{A}}} = 1 \)在宇宙学和天文学中起着基本作用,因为任何对CDDR的违反都可能是新物理学的信号。在本文中,我们使用来自重子振荡光谱调查数据版本12和最新的万神殿Ia型超新星(SNIa)样本的最新重子声振荡(BAO)测量,重新测试了CDDR的有效性。使用\(\ eta(z)\)的三个参数化,即\(\ eta(z)= 1 + \ eta _1 z \)\(\ eta(z)= 1 + \ eta _2 \ frac {z} {1 + z} \)\(\ eta(z)= 1 + \ eta _3 \ mathrm {ln}(1 + z)\),并考虑无量纲哈勃常数h的不确定性的影响,我们发现CDDR在\(1 \ sigma \)置信水平(CL)处有效,无论h是自由的还是边缘化且具有平坦的先验分布。但是,当用两个不同的高斯分布对h进行边际化时,我们发现CDDR在\(2 \ sigma \) CL下具有\(h = 0.6727 \ pm 0.0060 \)有效,而仅在\(4 \ sigma \) CL与\(h = 0.7403 \ pm 0.0142 \)。我们的结果表明,尽管使用最新的BAO测量和万神殿SNIa样本可以显着提高\(\ eta(z)\)的精度,但角直径距离和光度距离的更精确数据点以及对需要h来测试CDDR的有效性。

更新日期:2020-06-02
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