arXiv 1107.26732011-07astro-ph.CO

关于约束对张量标量比的先验依赖性

On the prior dependence of constraints on the tensor-to-scalar ratio

Marina Cortês, Andrew R. Liddle, David Parkinson

备注：: 14 pages, 6 figures. v2: added references. v3: minor clarifications; added reference; matches version accepted by JCAP
发表信息：: JCAP 1109:027,2011
DOI：: 10.1088/1475-7516/2011/09/027

摘要：

我们研究了约束对宇宙张量扰动的先验依赖性。通常是单场暴胀相容性方程的强先验，将张量谱指数nT与张量标量比r联系起来。去掉它会导致对nT的约束明显不同，正负值都允许，但可能性相当，并且在尺度k = 0.01 Mpc^-1 ~ 0.05 Mpc^-1上，r的上限会显著增加10倍或更多。即使采用一致性方程，在一个尺度上r的一致先验并不对应于另一个尺度上的一致先验;因此，约束取决于所选择的主尺度。我们评估这种效果的大小，并确定最佳尺度约束张量振幅，无论有没有一致性关系。

英文摘要：

We investigate the prior dependence of constraints on cosmic tensor perturbations. Commonly imposed is the strong prior of the single-field inflationary consistency equation, relating the tensor spectral index nT to the tensor-to-scalar ratio r. Dropping it leads to significantly different constraints on nT, with both positive and negative values allowed with comparable likelihood, and substantially increases the upper limit on r on scales k = 0.01 Mpc^-1 to 0.05 Mpc^-1, by a factor of ten or more. Even if the consistency equation is adopted, a uniform prior on r on one scale does not correspond to a uniform one on another; constraints therefore depend on the pivot scale chosen. We assess the size of this effect and determine the optimal scale for constraining the tensor amplitude, both with and without the consistency relation.

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