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arXiv 1407.3653astro-ph.COhep-th
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张量扰动耗散引起的谱畸变

Spectral distortions from the dissipation of tensor perturbations

Jens Chluba, Liang Dai, Daniel Grin, Mustafa A. Amin, Marc Kamionkowski

摘要:

宇宙微波背景(CMB)的光谱畸变可能成为探测小尺度原初扰动的有力工具。现有的光谱畸变研究几乎只集中在原始标量度规扰动。类似地,矢量和张量扰动应该是CMB谱失真的来源。在本文中,我们给出了这些类型的扰动,包括以前忽略的贡献,从偏振态和更高的多极子所造成的有效加热率的一般表达式。然后,我们集中讨论的耗散张量,表明近尺度不变的张量功率谱,整体失真是一些6个数量级小于绝热标量模式的阻尼。我们发现简单的解析表达式描述的有效加热速率张量使用准紧耦合近似。与绝热模式相反,张量引起加热而没有额外的光子扩散,因此在更宽的尺度范围内,最近指出的大田等。al 2014.我们的结果与他们的结论基本一致,但我们发现,超过k< 2x10^4 Mpc^{-1}的小尺度模不能被忽略,导致更大的失真,特别是对于非常蓝的张量功率谱。在小尺度下,中微子阻尼对张量振幅的影响也需要包括在内。

英文摘要:

Spectral distortions of the cosmic microwave background (CMB) may become a powerful probe of primordial perturbations at small scales. Existing studies of spectral distortions focus almost exclusively on primordial scalar metric perturbations. Similarly, vector and tensor perturbations should source CMB spectral distortions. In this paper, we give general expressions for the effective heating rate caused by these types of perturbations, including previously neglected contributions from polarization states and higher multipoles. We then focus our discussion on the dissipation of tensors, showing that for nearly scale invariant tensor power spectra, the overall distortion is some six orders of magnitudes smaller than from the damping of adiabatic scalar modes. We find simple analytic expressions describing the effective heating rate from tensors using a quasi-tight coupling approximation. In contrast to adiabatic modes, tensors cause heating without additional photon diffusion and thus over a wider range of scales, as recently pointed out by Ota et. al 2014. Our results are in broad agreement with their conclusions, but we find that small-scale modes beyond k< 2x10^4 Mpc^{-1} cannot be neglected, leading to a larger distortion, especially for very blue tensor power spectra. At small scales, also the effect of neutrino damping on the tensor amplitude needs to be included.

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