论文标题

Milli-arcsecond分辨率I:参数镜头模型的贝叶斯比较

A lensed radio jet at milli-arcsecond resolution I: Bayesian comparison of parametric lens models

论文作者

Powell, Devon M., Vegetti, Simona, McKean, J. P., Spingola, Cristiana, Stacey, Hannah R., Fassnacht, Christopher D.

论文摘要

我们利用了非常长的基线干涉测定法(VLBI)观测值的千分线(MAS)角度分辨率,研究了$ z = 0.350 $的强重力透镜星系的质量结构。在此分辨率上对同类产品的首次分析中,我们共同推断镜头模型参数和像素的无线电源表面亮度。我们考虑了几种从椭圆形强度密度曲线开始的晶状体模型,其复杂性增加。我们将此模型扩展到包括角多极结构,单独的恒星质量组件,附近的其他场星系和/或通用外部电势。我们使用它们的相对贝叶斯对数传播(贝叶斯因子)比较这些模型。我们发现镜头中角结构的有力证据。我们的最佳模型由幂律概况以及多极扰动和外部潜力组成,相对于椭圆形幂律模型,贝叶斯因子为$+14984 $。值得注意的是,椭圆法质量分布本身就是非常合适的,其其他模型复杂性仅在$ \ sim5 $ MAS级别上校正偏转角。我们还考虑了镜头模型中增加复杂性对时间延迟宇宙学和磁通比率分析的影响。我们发现,过于简单的幂律椭圆形镜头模型可能会使$ H_0 $乘$ \ sim3 $%的尺寸和模拟助图比率$ \ sim8 $ \ sim8 $ \ sim8 $。我们的结果表明,高分辨率VLBI观察到对晶状体星系的内密度分布的强大限制的力量。

We investigate the mass structure of a strong gravitational lens galaxy at $z=0.350$, taking advantage of the milli-arcsecond (mas) angular resolution of very long baseline interferometric (VLBI) observations. In the first analysis of its kind at this resolution, we jointly infer the lens model parameters and pixellated radio source surface brightness. We consider several lens models of increasing complexity, starting from an elliptical power-law density profile. We extend this model to include angular multipole structures, a separate stellar mass component, additional nearby field galaxies, and/or a generic external potential. We compare these models using their relative Bayesian log-evidence (Bayes factor). We find strong evidence for angular structure in the lens; our best model is comprised of a power-law profile plus multipole perturbations and external potential, with a Bayes factor of $+14984$ relative to the elliptical power-law model. It is noteworthy that the elliptical power-law mass distribution is a remarkably good fit on its own, with additional model complexity correcting the deflection angles only at the $\sim5$ mas level. We also consider the effects of added complexity in the lens model on time-delay cosmography and flux-ratio analyses. We find that an overly simplistic power-law ellipsoid lens model can bias the measurement of $H_0$ by $\sim3$ per cent and mimic flux ratio anomalies of $\sim8$ per cent. Our results demonstrate the power of high-resolution VLBI observations to provide strong constraints on the inner density profiles of lens galaxies.

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