标题： 幂律$α$-Starobinsky 暴胀 显示英文标题

标题： Power law $α$-Starobinsky inflation

摘要： 在这项工作中，我们考虑了由幂律（$R^\beta$）和$\alpha$-Starobinsky暴胀相结合而得到的Starobinsky暴胀的一种推广（$E$模型）。该模型在爱因斯坦框架下的势能是经过参数$\alpha$修正的幂律Starobinsky暴胀的势能。 在数值计算标量和张量扰动的功率谱之后，我们进行MCMC分析，利用Planck-2018、BICEP/Keck（BK18）及其他大尺度结构（LSS）观测数据，对势能参数$\alpha$、$\beta$和$M$以及暴胀期间的e折叠数$N_{pivot}$进行限制。 我们发现$\log_{10}\alpha= 0.37^{+0.82}_{-0.85}$，$\beta = 1.969^{+0.020}_{-0.023}$，$M=\left(3.54^{+2.62}_{-1.73}\right)\times 10^{-5}$和$N_{pivot} = 47\pm{10}$。 我们计算了我们提出的模型、幂律Starobinsky暴胀、$\alpha$-Starobinsky暴胀和Starobinsky暴胀的贝叶斯证据。 以Starobinsky模型为基础模型，我们计算了贝叶斯因子并发现我们提出的模型更受CMB和LSS观测的支持。 显示英文摘要

摘要： In this work we consider a generalization of Starobinsky inflation obtained by combining power law ($R^\beta$), and $\alpha$-Starobinsky inflation ($E$-model). The Einstein frame potential for this model is that of power law Starobinsky inflation modified by a parameter $\alpha$ in the exponential. After computing power spectra for scalar and tensor perturbations numerically, we perform MCMC analysis to put constraints on the potential parameter $\alpha$, $\beta$ and $M$, and the number of e-foldings $N_{pivot}$ during inflation, using Planck-2018, BICEP/Keck (BK18) and other LSS observations. We find $\log_{10}\alpha= 0.37^{+0.82}_{-0.85}$, $\beta = 1.969^{+0.020}_{-0.023}$, $M=\left(3.54^{+2.62}_{-1.73}\right)\times 10^{-5}$ and $N_{pivot} = 47\pm{10}$. We compute the Bayesian evidences for our proposed model, power law Starobinsky inflation, $\alpha$-Starobinsky inflation and Starobinsky inflation. Considering the Starobinsky model as the base model, we calculate the Bayes factor and find that our proposed model is preferred by the CMB and LSS observations.