论文标题
贝叶斯分析$α$ aftractor通货膨胀模型
Bayesian analysis for a class of $α$-attractor inflationary models
论文作者
论文摘要
我们对潜在的$ v（ϕ）= v_0 \ weft [1- \ text {sech}^{p} \ left（ϕ/\ sqrt {6α} m_ {pl} m_ {pl}} $ first $ first ys参与$ faction $ fimn $ faction $ firptant（标量歧管的逆曲率在吸引子模型的保形或超符号实现中。这种概括的特征是功率$ p $，其中包括$ p = 2 $的基本或基本型号。一旦通过数值探索设置了$α$ a-Attractor电位的参数的先验，我们将对$ p = 1 \，，2 \，，2 \，3 \，，4 $进行相应的统计分析，并衍生后期。考虑到原始的$α$ Attractor潜力是基本模型，我们计算了我们的概括的证据，并得出结论，$ p = 4 $模型是CMB数据首选的。我们还提出了参数$α$的约束。有趣的是，所有研究的案例都偏爱$ r \ simeq 0.0025 $给出的张量与尺度比率的特定值。
We perform a Bayesian study of a generalization of the basic $α$-attractor T model given by the potential $V(ϕ)=V_0\left[1-\text{sech}^{p}\left(ϕ/\sqrt{6α}M_{pl}\right)\right]$ where $ϕ$ is the inflaton field and the parameter $α$ corresponds to the inverse curvature of the scalar manifold in the conformal or superconformal realizations of the attractor models. Such generalization is characterized by the power $p$ which includes the basic or base model for $p=2$. Once the priors for the parameters of the $α$-attractor potential are set by numerical exploration, we perform the corresponding statistical analysis for the cases $p=1\, , 2\, , 3\, ,4$, and derive posteriors. Considering the original $α$-attractor potential as the base model, we calculate the evidence for our generalization, and conclude that the $p=4$ model is preferred by the CMB data. We also present constraints for the parameter $α$. Interestingly, all the cases studied prefer a specific value for the tensor-to-scalar ratio given by $r\simeq 0.0025$.
