标题： $R^3$修正的Starobinsky-Higgs inflation中原始曲率扰动的增强 显示英文标题

标题： Enhancement of primordial curvature perturbations in $R^3$-corrected Starobinsky-Higgs inflation

摘要： 我们对在存在额外的里奇标量三次项的情况下，Starobinsky-Higgs inflation 模型进行了系统研究。 我们特别研究了三次项对谱指数$n_s$和张量-标量比$r$的影响。 通过分析和数值分析，我们表明，$R^3$修正的 Starobinsky-Higgs 模型可以在与宇宙微波背景观测相容的同时，产生不同频率范围的独特观测特征。 此外，我们讨论了不同观测探针之间的互补性，包括标量诱导的引力波和光谱畸变，提供了一种对增强的曲率扰动的独立探测方法。 也讨论了探测前景。 显示英文摘要

摘要： We provide a systematic study of the Starobinsky-Higgs inflation model in the presence of an additional cubic term of the Ricci scalar. We investigate, in particular, the effects of the cubic term on the spectral index $n_s$ and the tensor-to-scalar ratio $r$. Through both analytical and numerical analyses, we show that the $R^3$-corrected Starobinsky-Higgs model can achieve compatibility with cosmic microwave background observations while producing distinct observational signatures with different frequency ranges. In addition, we discuss the complementarity between different observational probes, including the scalar-induced gravitational waves and spectral distortions, offering an independent probe of the enhanced curvature perturbations. Detection prospects are also discussed.