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arXiv 2207.06322astro-ph.GA
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ASTRODEEP中1<z<6时$\mathrm{M_{\star}}$ - SFR关系的贝叶斯分层建模

Bayesian hierarchical modelling of the $\mathrm{M_{\star}}$-SFR relation from 1<z<6 in ASTRODEEP

L. Sandles, E. Curtis-Lake, S. Charlot, J. Chevallard, R. Maiolino

摘要:

哈勃前沿场提供了一个机会,可以探测恒星形成星系主序列的高红移演化,由于大质量星系团的前景透镜,其质量比空白场中可能的质量更低。我们使用BEAGLE SED拟合程序从ASTRODEEP星表中的星系导出恒星质量、$\mathrm{M_{\star}}=\log(M/\mathrm{M_{\odot}})$、SFR、$Ψ=\log(ψ/\mathrm{M_{\odot}}\,\mathrm{yr}^{-1})$和红移。我们在$1.25<z<6$上拟合主序列的完全贝叶斯分层模型,形式为$Ψ= α_\mathrm{9.7}(z) + β(\mathrm{M_{\star}}-9.7) + \mathcal{N}(0,σ^2)$,同时明确建模离群值分布。$\mathrm{M_{\star}}=9.7$处的红移相关截距参数化为$α_\mathrm{9.7}(z) = \log[N (1+z)^γ] + 0.7$。我们的研究结果同意增加归一化的主序列的高红移,以下的红移依赖的气体吸积速率到暗物质晕与$γ=2.40^{+0.18}_{-0.18}$。我们测量了$β=0.79^{+0.03}_{-0.04}$和$σ=0.26^{+0.02}_{-0.02}$的斜率和固有散射。我们发现,采样的SED提供的组合过滤器(哈勃+地基KS波段+斯皮策3.6和4.5 $\mathrm{μm}$)是不足以约束$\mathrm{M_{\star}}$和$Ψ$在整个动态范围内观察到的主序列,即使在最低的红移研究。虽然这个滤波器组代表了$z>3$对高红移星系SED的最佳当前采样,但对低质量和高红移的主序的测量仍然强烈依赖于SED拟合中使用的先验(以及其他拟合假设)。未来的数据集与JWST应该改善这一点。

英文摘要:

The Hubble Frontier Fields represent the opportunity to probe the high-redshift evolution of the main sequence of star-forming galaxies to lower masses than possible in blank fields thanks to foreground lensing of massive galaxy clusters. We use the BEAGLE SED-fitting code to derive stellar masses, $\mathrm{M_{\star}}=\log(M/\mathrm{M_{\odot}})$, SFRs, $Ψ=\log(ψ/\mathrm{M_{\odot}}\,\mathrm{yr}^{-1})$ and redshifts from galaxies within the ASTRODEEP catalogue. We fit a fully Bayesian hierarchical model of the main sequence over $1.25<z<6$ of the form $Ψ= α_\mathrm{9.7}(z) + β(\mathrm{M_{\star}}-9.7) + \mathcal{N}(0,σ^2)$ while explicitly modelling the outlier distribution. The redshift-dependent intercept at $\mathrm{M_{\star}}=9.7$ is parametrized as $α_\mathrm{9.7}(z) = \log[N (1+z)^γ] + 0.7$. Our results agree with an increase in normalization of the main sequence to high redshifts that follows the redshift-dependent rate of accretion of gas onto dark matter halos with $γ=2.40^{+0.18}_{-0.18}$. We measure a slope and intrinsic scatter of $β=0.79^{+0.03}_{-0.04}$ and $σ=0.26^{+0.02}_{-0.02}$. We find that the sampling of the SED provided by the combination of filters (Hubble + ground-based Ks-band + Spitzer 3.6 and 4.5 $\mathrm{μm}$) is insufficient to constrain $\mathrm{M_{\star}}$ and $Ψ$ over the full dynamic range of the observed main sequence, even at the lowest redshifts studied. While this filter set represents the best current sampling of high-redshift galaxy SEDs out to $z>3$, measurements of the main sequence to low masses and high redshifts still strongly depend on priors employed in SED fitting (as well as other fitting assumptions). Future data-sets with JWST should improve this.

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