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arXiv 2202.04677astro-ph.COastro-ph.HEgr-qchep-ph
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超新星绝对星等恒常性的稳健性:非参数重建&贝叶斯方法

On the Robustness of the Constancy of the Supernova Absolute Magnitude: Non-parametric Reconstruction \& Bayesian approaches

David Benisty, Jurgen Mifsud, Jackson Levi Said, Denitsa Staicova

摘要:

在这项工作中,我们使用非参数重建技术(NRT)测试了超新星绝对星等$M_B$恒定性的鲁棒性。我们从重子声振荡(BAO)数据中分离出亮度距离参数$d_L(z)$,并从观测到的距离模$μ(z)$中取消膨胀部分。因此,绝对星等和哈勃常数$H_0$之间的简并被$M_B$和拖曳时期的声视界$r_d$之间的简并所取代。当施加$r_d$值时,这将从NRT中生成$M_B(z) = M_B + δM_B(z)$值。我们使用模型独立的人工神经网络(ANN)技术和高斯过程(GP)回归进行各自的重建。对于ANN,我们推断出$M_B = -19.22\pm0.20$,对于GP,我们得到$M_B = -19.25\pm0.39$作为使用来自后期测量的声音水平线时的全分布的平均值。这些估计提供了在更高红移处存在滋扰参数$δM_B(z)$的$1\,σ$可能性。我们还测试了不同的已知滋扰模型与马尔可夫链蒙特卡罗(MCMC)技术,表现出强烈的偏好,为常数模型,但它是不可能的,没有挑选出一个最适合的滋扰模型。

英文摘要:

In this work, we test the robustness of the constancy of the Supernova absolute magnitude $M_B$ using Non-parametric Reconstruction Techniques (NRT). We isolate the luminosity distance parameter $d_L(z)$ from the Baryon Acoustic Oscillations (BAO) data set and cancel the expansion part from the observed distance modulus $μ(z)$. Consequently, the degeneracy between the absolute magnitude and the Hubble constant $H_0$, is replaced by a degeneracy between $M_B$ and the sound horizon at drag epoch $r_d$. When imposing the $r_d$ value, this yields the $M_B(z) = M_B + δM_B(z)$ value from NRT. We perform the respective reconstructions using the model independent Artificial Neural Network (ANN) technique and Gaussian processes (GP) regression. For the ANN we infer $M_B = -19.22\pm0.20$, and for the GP we get $M_B = -19.25\pm0.39$ as a mean for the full distribution when using the sound horizon from late time measurements. These estimations provide a $1\,σ$ possibility of a nuisance parameter presence $δM_B(z)$ at higher redshifts. We also tested different known nuisance models with the Markov Chain Monte Carlo (MCMC) technique which showed a strong preference for the constant model, but it was not possible not single out a best fit nuisance model.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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