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arXiv 1303.4497astro-ph.COgr-qchep-ph
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用WMAP、SPT和ACT数据对单场暴胀的约束--普朗克前的最后一分钟立场

Constraints on single-field inflation with WMAP, SPT and ACT data -- A last-minute stand before Planck

Cheng Cheng, Qing-Guo Huang, Yin-Zhe Ma

摘要:

我们用前\textit{Planck} CMB数据约束单场暴胀模型。这里使用的数据是为期9年的威尔金森微波各向异性探测器(\textit{WMAP})数据、南极望远镜(SPT)数据和阿塔卡马宇宙学望远镜(ACT)数据。通过加入光谱指数参数的运行,我们发现$χ^2$提高了$Δχ^2=8.44$的因子,这强烈地表明了该参数从当前数据的偏好。此外,我们还发现,即使在不同的主尺度下,谱指数$α_s$的变化也不会太大,这表明功率谱的幂律展开直到一阶项都是足够精确的。此外,我们发现$r-n_{s}$的联合约束对单场暴胀模型给出了非常严格的约束,并且具有幂律势$ϕ^{p}$的模型只有当$0.9 \lesssim p \lesssim 2.1$时才能生存,因此在\textit{Planck}数据之前,已经排除了一大类暴胀模型。最后,我们使用$f_{NL}$数据来约束非平凡声速$c_s$。我们发现,目前的约束是占主导地位的功率谱约束,有一些不一致的约束,从$f_{NL}$。这就提出了\textit{WMAP}数据的功率谱和双谱之间的一致性的重要问题。

英文摘要:

We constrain models of single field inflation with the pre-\textit{Planck} CMB data. The data used here is the 9-year Wilkinson Microwave Anisotropy Probe (\textit{WMAP}) data, South Pole Telescope (SPT) data and Atacama Cosmology Telescope (ACT) data. By adding in running of spectral index parameter, we find that the $χ^2$ is improved by a factor of $Δχ^2=8.44$, which strongly indicates the preference of this parameter from current data. In addition, we find that the running of spectral index $α_s$ does not change very much even if we switch to different pivot scales, which suggests that the power law expansion of power spectrum is accurate enough till the 1st order term. Furthermore, we find that the joint constraints on $r-n_{s}$ give very tight constraints on single-field inflation models, and the models with power law potential $ϕ^{p}$ can only survive if $0.9 \lesssim p \lesssim 2.1$, so a large class of inflation models have already been ruled out before \textit{Planck} data. Finally, we use the $f_{NL}$ data to constrain the non-trivial sound speed $c_s$. We find that the current constraint is dominated by the power spectrum constraints which have some inconsistency with the constraints from $f_{NL}$. This poses important questions of consistency between power spectrum and bispectrum of \textit{WMAP} data.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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