Polypolar spherical harmonic decomposition of galaxy correlators in redshift space: Toward testing cosmic rotational symmetry
Polypolar spherical harmonic decomposition of galaxy correlators in redshift space: Toward testing cosmic rotational symmetry
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红移空间中星系相关器的多极球谐分解：测试宇宙旋转对称性
DOI：
10.1103/physrevd.95.063508
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发表时间：
2017
影响因子：
5
通讯作者：
Teppei Okumura
中科院分区：
文献类型：
--
作者：
Maresuke Shiraishi;Naonori S. Sugiyama;Teppei Okumura
我们提出了一种有效的方法来测试旋转不变性的宇宙学摄动的星系相关函数的使用。在超临界情况下，星系的功率谱除了通常的角度依赖性外，还可能由于红移空间的畸变而具有额外的角度依赖性。我们证实，通过分解成双极球谐基而不是通常的勒让德基，可以完全区分破缺信号和通常的各向同性信号，因为前者产生不消失的模式，而后者仅限于一个。作为一个示范，我们分析的签名，由于原始起源的对称性断裂，如著名的四极型和偶极型功率不对称，并找到nonzeroand 1模式，分别。Fisher矩阵预测的约束表明，thePlanck水平的灵敏度可以实现的SDSS或BOSS-CMASS数据，和一个数量级的改善，预计在不久的将来调查PFS或欧几里得凭借增加可访问的傅立叶模式。我们的方法是模型独立的，因此适用于搜索各种类型的统计各向异性波动。
We propose an efficient way to test rotational invariance in the cosmological perturbations by use of galaxy correlation functions. In symmetry-breaking cases, the galaxy power spectrum can have extra angular dependence in addition to the usual one due to the redshift-space distortion,. We confirm that, via the decomposition into not the usual Legendre basisbut the bipolar spherical harmonic one, the symmetry-breaking signal can be completely distinguished from the usual isotropic one since the former yields nonvanishingmodes but the latter is confined to theone. As a demonstration, we analyze the signatures due to primordial-origin symmetry breakings such as the well-known quadrupolar-type and dipolar-type power asymmetries and find nonzeroand 1 modes, respectively. Fisher matrix forecasts of their constraints indicate that thePlanck-level sensitivity could be achieved by the SDSS or BOSS-CMASS data, and an order-of-magnitude improvement is expected in a near future survey as PFS or Euclid by virtue of an increase in accessible Fourier mode. Our methodology is model-independent and hence applicable to the searches for various types of statistically anisotropic fluctuations.