标题： 广义$α$-暴胀从普朗克、ACT和DESI数据的可行性 显示英文标题

标题： Viability of generalized $α$-inflation from Planck, ACT, and DESI Data

摘要： 我们研究了两类单场暴胀模型——alpha-吸引子的推广和alpha-Starobinsky模型——并检验它们与普朗克、ACT DR6以及DESI DR2的BAO测量当前观测数据的兼容性。 我们的分析集中在暴胀之后的再加热阶段，该阶段由状态方程参数omega_re、再加热温度T_re和e-fold数N_re表征。 我们采用一种基于暴胀动力学与再加热之间联系的方程的半解析方法，使我们能够计算出视界交叉时的标量场值phi_k和其他相关的宇宙学量。 我们考虑了标量场的不同衰变通道：引力、Yukawa和标量。 我们特别关注在r-n_s和T_re-n_s平面上研究这些模型，特别是在靠近P-ACT-LB2组合的区域，这是远离普朗克数据最远的区域。 为此，我们探索了模型参数的广泛取值范围，并展示了最接近P-ACT-LB2区域的图形。 其他作者已经进行了相关工作；在有重叠的地方，我们的结果与其他方法得到的结果一致。 显示英文摘要

摘要： We study two classes of single-field inflationary models - a generalization of the alpha-attractor and the alpha-Starobinsky model - and examine their compatibility with current observational data from Planck, ACT DR6, and BAO measurements from DESI DR2. Our analysis focuses on the reheating phase that follows inflation, characterized by the equation-of-state parameter omega_re, the reheating temperature T_re, and the number of e-folds N_re. We use a semi-analytical approach based on an equation linking inflationary dynamics to reheating, allowing us to compute the inflaton value at horizon crossing phi_k and other related cosmological quantities. We consider different decay channels for the inflaton: gravitational, Yukawa, and scalar. We are particularly interested in studying these models in the r-n_s and T_re-n_s planes, especially in regions close to the P-ACT-LB2 combination, which is the area most distant from the Planck data. To do this, we explore a wide range of values for the model parameters and show the graphs where the closest approximation to the P-ACT-LB2 region occurs. Other authors have already carried out related work; where there is overlap, our results are consistent with those obtained by other means.