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Determination of miscalibrated polarization angles from observed cosmic microwave background and foreground EB power spectra: Application to partial-sky observation
Progress of Theoretical and Experimental Physics Pub Date : 2020-06-01 , DOI: 10.1093/ptep/ptaa057
Yuto Minami 1
Affiliation  

We study a strategy to determine miscalibrated polarization angles of cosmic microwave background (CMB) experiments using the observed $EB$ polarization power spectra of CMB and Galactic foreground emission. We apply the methodology of Minami et al.(2019) developed for full-sky observations to ground-based experiments such as Simons Observatory. We take into account the $E$-to-$B$ leakage and $\ell$-to-$\ell$ covariance due to partial sky coverage using the public code NaMaster. We show that our method yields an unbiased estimate of miscalibrated angles. Our method also enables simultaneous determination of miscalibrated angles and the intrinsic $EB$ power spectrum of polarized dust emission when the latter is proportional to $\sqrt{C_\ell^{EE}C_\ell^{BB}}$ and $C_\ell^{BB}$ is proportional to $C_\ell^{EE}$.

中文翻译:

从观测到的宇宙微波背景和前景 EB 功率谱确定校准错误的偏振角:在部分天空观测中的应用

我们研究了一种使用观测到的 CMB 和银河前景发射的 $EB$ 极化功率谱来确定宇宙微波背景 (CMB) 实验校准错误极化角的策略。我们将 Minami 等人 (2019) 为全天空观测开发的方法应用于西蒙斯天文台等地面实验。由于使用公共代码 NaMaster 的部分天空覆盖,我们考虑了 $E$-to-$B$ 泄漏和 $\ell$-to-$\ell$ 协方差。我们表明我们的方法产生了对错误校准角度的无偏估计。当后者与 $\sqrt{C_\ell^{EE}C_\ell^{BB}}$ 和 $C_ 成正比时,我们的方法还可以同时确定错误校准的角度和偏振尘埃发射的内在 $EB$ 功率谱\ell^{BB}$ 与 $C_\ell^{EE}$ 成正比。
更新日期:2020-06-01
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