论文标题

Palatini公式中的临界点希格斯通货膨胀

Critical point Higgs inflation in the Palatini formulation

论文作者

Enckell, Vera-Maria, Nurmi, Sami, Rasanen, Syksy, Tomberg, Eemeli

论文摘要

我们研究了palatini公式中的希格斯通货膨胀,而恢复率校正产生类似于拐点的特征时,重态化组的潜力提高了潜力。假设希格斯四分之一的耦合$λ$和顶部的Yukawa耦合$ y_t $有阈值校正,我们扫描了由两个跳跃和非微型耦合$ξ$形成的三维参数空间。 频谱索引$ n_s $可以在观察允许的范围内采用任何值。运行的下限为$α_s> -3.5 \ times10^{ - 3} $,$α_s$可以与观察性上限一样大。跑步很小。张量与量表的比率为$ 2.2 \ times 10^{ - 17} <r <2 \ 2 \ times10^{ - 5} $。我们发现可以在该功能附近违反慢速滚动,并且可能的超流卷可能会导致CMB预测范围的扩大。然而,对于最简单的树级作用,即使考虑到量子校正的量较小,palatini公式仍可与度量公式区分开。

We study Higgs inflation in the Palatini formulation with the renormalisation group improved potential in the case when loop corrections generate a feature similar to an inflection point. Assuming that there is a threshold correction for the Higgs quartic coupling $λ$ and the top Yukawa coupling $y_t$, we scan the three-dimensional parameter space formed by the two jumps and the non-minimal coupling $ξ$. The spectral index $n_s$ can take any value in the observationally allowed range. The lower limit for the running is $α_s>-3.5\times10^{-3}$, and $α_s$ can be as large as the observational upper limit. Running of the running is small. The tensor-to-scalar ratio is $2.2\times 10^{-17}<r<2\times10^{-5}$. We find that slow-roll can be violated near the feature, and a possible period of ultra-slow-roll contributes to the widening of the range of CMB predictions. Nevertheless, for the simplest tree-level action, the Palatini formulation remains distinguishable from the metric formulation even when quantum corrections are taken into account, because of the small tensor-to-scalar ratio.

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