arXiv 2109.010952021-09astro-ph.CO

$μ$ - CMB互相关中的原始张量双谱

Primordial tensor bispectra in $μ$-CMB cross-correlations

Giorgio Orlando, P. Daniel Meerburg, Subodh P. Patil

备注：: 36 pages, 6 figures. v3: Other typos corrected. Matched published version
发表信息：: JCAP 02 (2022) 004
DOI：: 10.1088/1475-7516/2022/02/004

摘要：

宇宙微波背景温度和偏振各向异性与$μ$ -谱畸变之间的互相关被认为是测量（压缩）原始标量双谱的尺度范围内的主要CMB双谱。在这项工作中，我们解决是否有可能约束张量非高斯与这些互相关。我们发现，只有原始张量双谱与统计各向异性离开不同的签名，而各向同性张量双谱离开消失或高度抑制签名。我们讨论了压缩双谱的角度依赖性的长短动量决定的非零互相关。我们还讨论了这些非零配置的方式，其中原始的双谱变换下奇偶校验的影响。通过采用所谓的BipoSH形式主义来捕获统计各向异性的观测效果，我们进行Fisher预测，以评估从$μT$，$μE$和$μB$互相关的检测前景。在压缩的$\langle γγγ\rangle$和$\langle γγζ\rangle$双谱中观察统计各向异性将是具有挑战性的，因为张量扰动对$μ$ -畸变的影响小于标量扰动，因此需要对$μ$ -历元中张量扰动的影响进行大的独立放大。在没有这种机制的情况下，压缩$\langle ζζγ\rangle$双谱中的统计各向异性是$μT$、$μE$和$μB$互相关的最相关来源。特别是，我们指出，在各向异性暴胀模型中，$\langle ζζζ\rangle$在$μT$和$μE$中留下了潜在的可观察签名，从$μB$检测$\langle ζζγ\rangle$的前景增强。

英文摘要：

Cross-correlations between Cosmic Microwave Background (CMB) temperature and polarization anisotropies and $μ$-spectral distortions have been considered to measure (squeezed) primordial scalar bispectra in a range of scales inaccessible to primary CMB bispectra. In this work we address whether it is possible to constrain tensor non-Gaussianities with these cross-correlations. We find that only primordial tensor bispectra with statistical anisotropies leave distinct signatures, while isotropic tensor bispectra leave either vanishing or highly suppressed signatures. We discuss how the angular dependence of squeezed bispectra in terms of the short and long momenta determine the non-zero cross-correlations. We also discuss how these non-vanishing configurations are affected by the way in which primordial bispectra transform under parity. By employing the so-called BipoSH formalism to capture the observational effects of statistical anisotropies, we make Fisher-forecasts to assess the detection prospects from $μT$, $μE$ and $μB$ cross-correlations. Observing statistical anisotropies in squeezed $\langle γγγ\rangle$ and $\langle γγζ\rangle$ bispectra is going to be challenging as the imprint of tensor perturbations on $μ$-distortions is subdominant to scalar perturbations, therefore requiring a large, independent amplification of the effect of tensor perturbations in the $μ$-epoch. In absence of such a mechanism, statistical anisotropies in squeezed $\langle ζζγ\rangle$ bispectrum are the most relevant sources of $μT$, $μE$ and $μB$ cross-correlations. In particular, we point out that in anisotropic inflationary models where $\langle ζζζ\rangle$ leaves potentially observable signatures in $μT$ and $μE$, the detection prospects of $\langle ζζγ\rangle$ from $μB$ are enhanced.

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