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arXiv 0905.1687astro-ph.CO
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宇宙微波背景偏振的反旋:全天空形式

De-Rotation of the Cosmic Microwave Background Polarization: Full-Sky Formalism

Vera Gluscevic, Marc Kamionkowski, Asantha Cooray

摘要:

已经提出了可能旋转宇宙微波背景(CMB)的线性偏振的机制,因为它从最后的散射表面传播。在最简单的场景中,旋转将在整个天空中是均匀的,但是旋转角度也可以在整个天空中变化。我们详细开发了一套完整的全天空二次估计的旋转的CMB偏振,可以从CMB的温度和偏振。我们推导出的方差,这些估计可以测量,并表明这些方差减少到简单的平天表达式在适当的限制。我们用数值计算方差。如果旋转角是作为随机场的一种实现而出现的,那么平天形式主义可能是合适的,而全天空形式主义则需要搜索在天空中缓慢变化的旋转以及旋转角的角功率谱在大角度处达到峰值的模型。

英文摘要:

Mechanisms have been proposed that might rotate the linear polarization of the cosmic microwave background (CMB) as it propagates from the surface of last scatter. In the simplest scenario, the rotation will be uniform across the sky, but the rotation angle may also vary across the sky. We develop in detail the complete set of full-sky quadratic estimators for the rotation of the CMB polarization that can be constructed from the CMB temperature and polarization. We derive the variance with which these estimators can be measured and show that these variances reduce to the simpler flat-sky expressions in the appropriate limit. We evaluate the variances numerically. While the flat-sky formalism may be suitable if the rotation angle arises as a realization of a random field, the full-sky formalism will be required to search for rotations that vary slowly across the sky as well as for models in which the angular power spectrum for the rotation angle peaks at large angles.

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