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arXiv 0706.3887astro-phhep-phhep-th
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测试原始功率谱中的特征

Testing for Features in the Primordial Power Spectrum

Loison Hoi, James M. Cline

摘要:

众所周知的因果关系论证表明,在暴胀期间或暴胀结束时发生的事件,与再加热或预热有关,可以为原初曲率扰动谱贡献一个蓝色分量,其依赖关系为k^3。我们探讨的可能性,他们可能是可观察到的大CMB,LSS和莱曼α数据。我们发现,当使用三年WMAP数据时,在某个最大k处截断的k^3分量可以适度地改善CMB角谱的低多极子(l ~ 10 - 50)或第二峰(l ~ 540)的拟合(Δ χ ^2 =2.0,5.4)。此外,WMAP的结果与CBI,ACBAR,2dFGRS和SDSS数据一致,当它们被包括在分析中时。包括SDSS星系团的功率谱,我们发现在δ χ ' = 2.4的水平上存在k^3分量的微弱正证据,但需要注意的是,在存在k^3畸变的情况下,功率谱的非线性演化可能无法得到适当的处理。为了研究高k状态,我们使用Lyman-alpha森林数据(LUQAS,Croft等人,和SDSS莱曼α);在这里我们发现了δ χ ^2 ' = 3.8的证据。考虑到模型中有两个额外的自由参数,上述结果并没有给出特征的有力证据;然而,它们表明并不排除令人惊讶的大颠簸。在波数为0.0023/Mpc < k < 8.2/Mpc的范围内,我们给出了k^3分量与近标度不变分量之比r_3 < 1.5的限制条件。我们还讨论了可能导致k^3效应的理论模型,包括普通的混合暴胀模型和双D项暴胀模型。我们发现,动机良好的k^3分量也是原始扰动功率谱中一般尖峰特征的一个很好的代表。

英文摘要:

Well-known causality arguments show that events occurring during or at the end of inflation, associated with reheating or preheating, could contribute a blue component to the spectrum of primordial curvature perturbations, with the dependence k^3. We explore the possibility that they could be observably large in CMB, LSS, and Lyman-alpha data. We find that a k^3 component with a cutoff at some maximum k can modestly improve the fits (Delta chi^2=2.0, 5.4) of the low multipoles (l ~ 10 - 50) or the second peak (l ~ 540) of the CMB angular spectrum when the three-year WMAP data are used. Moreover, the results from WMAP are consistent with the CBI, ACBAR, 2dFGRS, and SDSS data when they are included in the analysis. Including the SDSS galaxy clustering power spectrum, we find weak positive evidence for the k^3 component at the level of Delta chi' = 2.4, with the caveat that the nonlinear evolution of the power spectrum may not be properly treated in the presence of the k^3 distortion. To investigate the high-k regime, we use the Lyman-alpha forest data (LUQAS, Croft et al., and SDSS Lyman-alpha); here we find evidence at the level Delta chi^2' = 3.8. Considering that there are two additional free parameters in the model, the above results do not give a strong evidence for features; however, they show that surprisingly large bumps are not ruled out. We give constraints on the ratio between the k^3 component and the nearly scale-invariant component, r_3 < 1.5, over the range of wave numbers 0.0023/Mpc < k < 8.2/Mpc. We also discuss theoretical models which could lead to the k^3 effect, including ordinary hybrid inflation and double D-term inflation models. We show that the well-motivated k^3 component is also a good representative of the generic spikelike feature in the primordial perturbation power spectrum.

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