Most of the inflationary models that are in agreement with the Planck data rely on the presence of non-renormalizable operators. If the connection to low energy particle physics is made, the renormalization group (RG) introduces a sensitivity to ultraviolet (UV) physics that can be crucial in determining the inflationary predictions. We analyse this effect for the Standard Model (SM) augmented with non-minimal derivative couplings to gravity. Our set-up reduces to the SM for small values of the Higgs field, and allows for inflation in the opposite large field regime. The one-loop beta functions in the inflationary region are calculated using a covariant approach that properly accounts for the non-trivial structure of the field space manifold. We run the SM parameters from the electroweak to the inflationary scale, matching the couplings of the different effective field theories at the boundary between the two regimes, where we also include threshold corrections that parametrize effects from UV physics. We then compute the spectral index and tensor-to-scalar ratio and find that RG flow corrections can be determinant: a scenario that is ruled out at tree level can be resurrected and vice versa.

中文翻译：

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不可重整化通胀模型中的匹配和运行敏感性

大多数与普朗克数据一致的通货膨胀模型依赖于不可重整化算子的存在。如果与低能粒子物理学建立联系，重整化群 (RG) 会引入对紫外线 (UV) 物理学的敏感性，这对于确定暴胀预测至关重要。我们分析了标准模型 (SM) 的这种效应，该模型增加了与重力的非最小导数耦合。对于希格斯场的小值，我们的设置减少到 SM，并允许在相反的大场范围内膨胀。暴胀区域中的单环 beta 函数是使用协变方法计算的，该方法适当地考虑了场空间流形的非平凡结构。我们运行从电弱到暴胀尺度的 SM 参数，在两个区域之间的边界处匹配不同有效场理论的耦合，我们还包括阈值校正，这些阈值校正将来自紫外线物理的影响参数化。然后我们计算光谱指数和张量与标量的比率，发现 RG 流校正可以是决定因素：在树级别被排除的场景可以复活，反之亦然。