论文标题
使用Gaia早期数据发布3次视差
A Maximum Likelihood Calibration of the Tip of the Red Giant Branch Luminosity from High Latitude Field Giants using Gaia Early Data Release 3 Parallaxes
论文作者
论文摘要
$ i $ band中红色巨型分支（TRGB）的尖端的校准在确定哈勃常数方面具有直接的作用，这是由于其价值的直接估计和间接估计之间的差异而引起的。我们提出了一种最大似然（ML）方法，旨在使用来自高银河纬度的Milky Way Field巨头的早期数据版本3（EDR3）的$ GAIA $可视性获得TRGB亮度的独立校准。我们为银河系恒星光度函数和密度定律采用简单的参数化，并优化观察到的样品作为这些参数的函数的可能性。使用参数从其他星系中部分约束亮度功能，类似于获得高质量TRGB数据的银河系，我们发现TRGB幅度为$ M_I^{TRGB} = -3.91 \ pm 0.05 $（stat）$ \ pm 0.09 $（sys）mag的值consecties and system sharge sharge sharge yourky yourky yourky yourky yourky yourky yourky yourky yourky yourky yourky yourky yourke a i^{trgb} = -3.91 \ pm 0.05 $（stat）$ \ pm（stat）。尽管Apass数据发布9 All-Sky光度法不足以对银河系发光功能的形状提供可靠的限制，但我们估计，$ GAIA $数据发布3（2022年中期）的光度法将允许对形状进行更好的限制，并允许较低的统计不确定性在3个级别的clabia claper of gaia $ a parallax of parallax的方法上均降低。田野巨头的光度预计将达到$ \ sim $ 0.01 mag不确定性，这是朝着基于TRGB的确切确定哈勃常数的重要一步。
The calibration of the tip of the red giant branch (TRGB) in the $I$-band has a direct role in determinations of the Hubble constant, a subject of recent interest due to the discrepancy between direct and indirect estimates of its value. We present a maximum likelihood (ML) method designed to obtain an independent calibration of the brightness of TRGB using $Gaia$ parallaxes from the Early Data Release 3 (EDR3) of Milky Way field Giants at high Galactic latitude. We adopt simple parameterizations for the Milky Way stellar luminosity function and density law and and optimize the likelihood of the observed sample as a function of those parameters. Using parameters to partially constrain the luminosity function from other galaxies similar to the Milky Way for which high quality TRGB data are available, we find values of the TRGB magnitude of $ M_I^{TRGB} = -3.91 \pm 0.05 $ (stat) $ \pm 0.09 $ (sys) mag, where the systematic uncertainty covers the range of shape parameters found in our Milky Way sample and in reference galaxies. While APASS Data Release 9 all-sky photometry is insufficient to provide a reliable constraint on the shape of the Milky Way luminosity function, we estimate that the photometry from $Gaia$ Data Release 3 (mid-2022) will allow better constraints on the shape, and lower statistical uncertainties on the tip by a factor of 3. With expected releases of improved parallax measurements from $Gaia$, the method of calibrating the TRGB luminosity from field Giants is expected to reach $\sim$ 0.01 mag uncertainty, which is an important step toward a precise TRGB-based determination of the Hubble constant.
