论文标题

在不可降低的通货膨胀模型中匹配和运行灵敏度

Matching and running sensitivity in non-renormalizable inflationary models

论文作者

Fumagalli, Jacopo, Postma, Marieke, Bout, Melvin van den

论文摘要

与普朗克数据一致的大多数通货膨胀模型都依赖于不可夸大的运营商的存在。如果建立了与低能颗粒物理的联系,则重新归一化组(RG)引入了对紫外线(UV)物理学的敏感性,这对于确定通货膨胀预测至关重要。我们分析了与重力的非最小导数耦合增强的标准模型(SM)的效果。我们的设置将HIGGS场的少量值减少到SM,并允许在相反的大型场机制中通货膨胀。通货膨胀区域中的单环β函数是使用协变量方法计算得出的,该方法适当说明了场空间歧管的非平凡结构。我们将SM参数从电动台到通货膨胀量表运行,与两个制度之间边界的不同有效场理论的耦合匹配,我们还包括阈值校正,以参数化紫外线物理学的效果。然后,我们计算频谱索引和张量表比率,发现RG流动校正可以是决定因素:可以在树级排除的场景可以复活,反之亦然。

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.

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