arXiv 1107.21632011-07-11hep-phastro-ph.COhep-th

希格斯-膨胀子宇宙学：从早期到晚期宇宙

Higgs-Dilaton Cosmology: From the Early to the Late Universe

Juan García-Bellido, Javier Rubio, Mikhail Shaposhnikov, Daniel Zenhäusern

DOI：: 10.1103/PhysRevD.84.123504

摘要：

我们考虑粒子物理标准模型的一个最小尺度不变的扩展，结合\cite{Shaposhnikov:2008xb}中的幺模引力公式。这个理论不仅能够描述与标准模型希格斯场有关的暴胀阶段，而且能够描述与几乎没有质量的粒子有关的暗能量支配的晚期阶段。暴胀物理学可以固定一些参数，从而可以对任何随后的时期做出具体的预测。特别地，我们导出了标量涨落的原始谱$n_s$的倾斜与暗能量状态参数$ω_{DE}^0$的当前值之间的关系。我们发现标量倾斜，$n_s<0.97$，相关的运行，$-0.0006<d\ln n_s/d\ln k\lesssim-0.00015$，和标量张量比，$0.0009\lesssim r<0.0033$，这将是严格的普朗克任务的结果进行测试的界限。对于暗能量的状态方程，模型预言了$ω_{DE}^0>-1$。$n_s$和$ω_{DE}^0$之间的关系使我们能够利用目前对$n_s$的观测界限进一步将暗能量状态方程约束到$0< 1+ω_{DE}^0< 0.02$，这是未来暗能量调查所要面对的。

英文摘要：

We consider a minimal scale-invariant extension of the Standard Model of particle physics combined with Unimodular Gravity formulated in \cite{Shaposhnikov:2008xb}. This theory is able to describe not only an inflationary stage, related to the Standard Model Higgs field, but also a late period of Dark Energy domination, associated with an almost massless dilaton. A number of parameters can be fixed by inflationary physics, allowing to make specific predictions for any subsequent period. In particular, we derive a relation between the tilt of the primordial spectrum of scalar fluctuations, $n_s$, and the present value of the equation of state parameter of dark energy, $ω_{DE}^0$. We find bounds for the scalar tilt, $n_s<0.97$, the associated running, $-0.0006<d\ln n_s/d\ln k\lesssim-0.00015$, and for the scalar-to-tensor ratio, $0.0009\lesssim r<0.0033$, which will be critically tested by the results of the Planck mission. For the equation of state of dark energy, the model predicts $ω_{DE}^0>-1$. The relation between $n_s$ and $ω_{DE}^0$ allows us to use the current observational bounds on $n_s$ to further constrain the dark energy equation of state to $0< 1+ω_{DE}^0< 0.02$, which is to be confronted with future dark energy surveys.

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