We develop a strategy to determine the cosmic birefringence and miscalibrated polarization angles simultaneously using the observed $EB$ polarization power spectra of the cosmic microwave background and the Galactic foreground emission. We extend the methodology of Y. Minami et al. (Prog. Theor. Exp. Phys. $\mathbf{2019}$, 083E02, 2019), which was developed for auto frequency power spectra, by including cross frequency spectra. By fitting one global birefringence angle and independent miscalibration angles at different frequency bands, we determine both angles with significantly smaller uncertainties (by more than a factor of two) compared to the auto spectra.

中文翻译：

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同时测定宇宙双折射和错误校准的偏振角 II：包括交叉频谱

我们开发了一种策略，使用观测到的宇宙微波背景和银河前景发射的 $EB$ 偏振功率谱同时确定宇宙双折射和错误校准的偏振角。我们扩展了 Y. Minami 等人的方法。（Prog. Theor. Exp. Phys. $\mathbf{2019}$, 083E02, 2019），它是为自动频率功率谱开发的，包括交叉频谱。通过在不同频段拟合一个全局双折射角和独立的误校准角，与自光谱相比，我们确定两个角度的不确定性明显更小（超过两倍）。