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arXiv 1303.4014astro-ph.COgr-qc
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非幂律模型的张量-标量比约束

Constraints on the Tensor-to-Scalar ratio for non-power-law models

J. Alberto Vazquez, M. Bridges, Yin-Zhe Ma, M. P. Hobson

备注：
Minor changes to match version accepted by JCAP
发表信息：
JCAP, 08, 001 2013
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摘要：

最近的宇宙学观测暗示，曲率扰动的原始谱偏离了简单的幂律形式。在本文中，我们表明，在张量分量的存在下，在初始频谱的翻转是首选当前的观测，因此，非幂律模型应该被考虑。例如，对于同时具有张量分量和运行参数的幂律参数化，当前数据显示，在大于$2.5σ$ C. L.的情况下，倾向于负运行。由于这种偏离幂律的结果，对张量标量比$r$的约束稍微宽一些。我们还提出了一个独立的重建模型和Lasenby & Doran（LD）模型的通货膨胀参数的限制。特别地，对来自LD模型的张量标量比的约束是：$r_{\rm LD}=0.11\pm{0.024}$。除了目前的数据，我们显示了预期的约束普朗克和CMB-Pol敏感性实验，通过使用马尔可夫链蒙特卡罗采样链。对于所有模型，我们都包含贝叶斯证据来执行模型选择分析。贝叶斯因子，使用当前的观察，显示出强烈的偏好LD模型超过标准的幂律参数化，并提供了一个洞察力，通过未来的调查区分模型的准确性。

英文摘要：

Recent cosmological observations hint at a deviation from the simple power-law form of the primordial spectrum of curvature perturbations. In this paper we show that in the presence of a tensor component, a turn-over in the initial spectrum is preferred by current observations, and hence non-power-law models ought to be considered. For instance, for a power-law parameterisation with both a tensor component and running parameter, current data show a preference for a negative running at more than $2.5σ$ C.L. As a consequence of this deviation from a power-law, constraints on the tensor-to-scalar ratio $r$ are slightly broader. We also present constraints on the inflationary parameters for a model-independent reconstruction and the Lasenby & Doran (LD) model. In particular, the constraints on the tensor-to-scalar ratio from the LD model are: $r_{\rm LD}=0.11\pm{0.024}$. In addition to current data, we show expected constraints from Planck-like and CMB-Pol sensitivity experiments by using Markov-Chain-Monte-Carlo sampling chains. For all the models, we have included the Bayesian Evidence to perform a model selection analysis. The Bayes factor, using current observations, shows a strong preference for the LD model over the standard power-law parameterisation, and provides an insight into the accuracy of differentiating models through future surveys.

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