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arXiv 1402.1476hep-phastro-ph.COhep-th
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单场暴胀模型的预测性

On the Predictiveness of Single-Field Inflationary Models

C. P. Burgess, Subodh P. Patil, Michael Trott

摘要:

我们重新审视单场暴胀模型的预测性,并讨论如何一个未知的UV完成可以复杂的确定暴胀模型参数的观察,甚至从精密测量。除了通常的自然性问题与有一个浅的通货膨胀的潜力,我们描述了另一个问题的通货膨胀,即未知的紫外物理修改运行的标准模型(SM)参数,从而引入不确定性的潜在的通货膨胀的预测。我们使用最小希格斯暴胀情景来说明这一点,这可以说是市场上最具预测性的单场模型,因为它对$A_s$、$r$和$n_s$的预测只使用了一个新的自由参数,超出了粒子物理实验中测量的自由参数,并且达到了暴胀状态。我们发现,这个问题已经可以产生可观察到的影响。同时,这种在重整化群中的紫外参数依赖性允许希格斯暴胀在稍大的希格斯质量范围内发生(原则上)。我们评论的各种UV尺度的起源,出现在大字段值的SM希格斯粒子,澄清截止尺度参数进一步发展的形式主义的非线性实现的$\rm SU_L(2) \times U(1)$在弯曲的空间。我们讨论了一个有趣的事实,即希格斯膨胀之外,即使在SM中,与引力的非最小耦合的影响也会导致希格斯扇区的非线性EFT。最后,我们简要评论后BICEP 2试图修改希格斯膨胀的情况。

英文摘要:

We re-examine the predictiveness of single-field inflationary models and discuss how an unknown UV completion can complicate determining inflationary model parameters from observations, even from precision measurements. Besides the usual naturalness issues associated with having a shallow inflationary potential, we describe another issue for inflation, namely, unknown UV physics modifies the running of Standard Model (SM) parameters and thereby introduces uncertainty into the potential inflationary predictions. We illustrate this point using the minimal Higgs Inflationary scenario, which is arguably the most predictive single-field model on the market, because its predictions for $A_s$, $r$ and $n_s$ are made using only one new free parameter beyond those measured in particle physics experiments, and run up to the inflationary regime. We find that this issue can already have observable effects. At the same time, this UV-parameter dependence in the Renormalization Group allows Higgs Inflation to occur (in principle) for a slightly larger range of Higgs masses. We comment on the origin of the various UV scales that arise at large field values for the SM Higgs, clarifying cut off scale arguments by further developing the formalism of a non-linear realization of $\rm SU_L(2) \times U(1)$ in curved space. We discuss the interesting fact that, outside of Higgs Inflation, the effect of a non-minimal coupling to gravity, even in the SM, results in a non-linear EFT for the Higgs sector. Finally, we briefly comment on post BICEP2 attempts to modify the Higgs Inflation scenario.

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