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arXiv 0802.0505astro-phgr-qchep-ph
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如何用最小先验约束暴胀参数空间

How to constrain inflationary parameter space with minimal priors

Jan Hamann, Julien Lesgourgues, Wessel Valkenburg

摘要:

利用最近的宇宙微波背景(CMB)和大尺度结构(LSS)数据,我们更新了暴胀过程中哈勃函数H(phi)的约束条件。我们的主要重点是各种常用的方法之间的比较计算原始功率谱通过解析近似和积分的精确方程数值所得到的结果。在每一种情况下,我们都对通货膨胀的持续时间施加了朴素的、最低限度的限制性先验。我们发现,先验的选择有影响的结果:通货膨胀参数的界限可以变化的因素2。然而,应该注意的是,在精确方法的最小先验所允许的区域内,近似的精度对于当前数据是足够的。然而,我们警告说,一个粗心的近似方法的最小实现允许模型的假设背后的分析近似失败,并建议使用精确的数值方法的宇宙学数据的自洽分析。

英文摘要:

We update constraints on the Hubble function H(phi) during inflation, using the most recent cosmic microwave background (CMB) and large scale structure (LSS) data. Our main focus is on a comparison between various commonly used methods of calculating the primordial power spectrum via analytical approximations and the results obtained by integrating the exact equations numerically. In each case, we impose naive, minimally restrictive priors on the duration of inflation. We find that the choice of priors has an impact on the results: the bounds on inflationary parameters can vary by up to a factor two. Nevertheless, it should be noted that within the region allowed by the minimal prior of the exact method, the accuracy of the approximations is sufficient for current data. We caution however that a careless minimal implementation of the approximative methods allows models for which the assumptions behind the analytical approximations fail, and recommend using the exact numerical method for a self-consistent analysis of cosmological data.

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