arXiv 1802.092992018-02astro-ph.COgr-qchep-phhep-th

山顶上的希格斯暴胀

Higgs inflation at the hilltop

Vera-Maria Enckell, Kari Enqvist, Syksy Rasanen, Eemeli Tomberg

备注：: 27 pages, 7 figures. v2: Added references and clarifications, removed double references. Published version
发表信息：: JCAP06(2018)005
DOI：: 10.1088/1475-7516/2018/06/005

摘要：

我们研究了当量子修正在势中产生山顶时，非最小耦合标准模型希格斯粒子的暴胀。我们考虑的度量和Palatini制定的广义相对论。我们调查山顶通货膨胀的希格斯势的不同部分，并计算预测CMB观测。我们运行重整化群方程从电弱标度向上，从山顶向下，在中间增加一个跳跃，以解释中间区域的未知修正。在我们的近似，没有可行的山顶通货膨胀是可能的小字段值，其中的非最小耦合没有作用，也不为中间字段值。对于较大的字段值，山顶膨胀有效。我们发现的谱指数是$n_s\leq0.96$的度量和Palatini制定，上界与树级的结果相一致。张量标量比在公制情况下为$r\leq1.2\times10^{-3}$，在Palatini情况下为$r\leq2.2\times10^{-9}$。即使当重整化群连续运行而没有跳跃时，成功的暴胀也是可能的。在度规公式中，$r$在树级平台或临界点上小于希格斯膨胀，使得有可能用下一代CMB实验将山顶膨胀与这些场景区分开来。

英文摘要：

We study inflation with the non-minimally coupled Standard Model Higgs in the case when quantum corrections generate a hilltop in the potential. We consider both the metric and the Palatini formulation of general relativity. We investigate hilltop inflation in different parts of the Higgs potential and calculate predictions for CMB observables. We run the renormalization group equations up from the electroweak scale and down from the hilltop, adding a jump in-between to account for unknown corrections in the intermediate regime. Within our approximation, no viable hilltop inflation is possible for small field values, where the non-minimal coupling has no role, nor for intermediate field values. For large field values, hilltop inflation works. We find the spectral index to be $n_s\leq0.96$ in both the metric and the Palatini formulation, the upper bound coinciding with the tree-level result. The tensor-to-scalar ratio is $r\leq1.2\times10^{-3}$ in the metric case and $r\leq2.2\times10^{-9}$ in the Palatini case. Successful inflation is possible even when the renormalization group running is continuous with no jumps. In the metric formulation, $r$ is smaller than in Higgs inflation on the tree-level plateau or at the critical point, making it possible to distinguish hilltop inflation from these scenarios with next-generation CMB experiments.

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英文摘要：

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