Abstract Quartic hilltop inflation remains one of the most successful inflationary models. Yet, the expectations of early treatments of hilltop inflation would contradict the observations and render the model excluded. However, recent numerical treatment has demonstrated that quartic hilltop inflation actually fares well with observations. In this work, a fully analytic treatment of the model aims to dispel the mystery surrounding the behaviour of quartic hilltop inflation. The results obtained are in excellent agreement with numerical works on the subject, yet offer simple analytic formulas to calculate observables and easily test thereby quartic hilltop inflation, hopefully revealing information on the theoretical background.

中文翻译：

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四次山顶膨胀的解析处理

摘要 四次山顶暴胀仍然是最成功的暴胀模型之一。然而，对山顶通货膨胀的早期处理的预期与观察结果相矛盾并使模型被排除在外。然而，最近的数值处理表明，四次山顶暴胀实际上与观测结果相符。在这项工作中，对该模型的完全解析处理旨在消除围绕四次山顶暴胀行为的神秘面纱。获得的结果与该主题的数值工作非常一致，但提供了简单的解析公式来计算可观测值并轻松测试四次山顶膨胀，有望揭示理论背景的信息。