量化曲率模型的“自然性”
Quantifying the 'naturalness' of the curvaton model
摘要：
我们调查的概率获得一个可观察的曲率扰动，作为一个例子，最小曲率希格斯（MCH）模型。我们确定“可能观察到的”和“可能排除”区域的参数空间假设通用的初始条件和应用随机方法的曲率的演变过程中通货膨胀。假设膨胀持续时间长于N_{obs} = 55个可观察的e-折叠，并且膨胀的e-折叠的总数确定可能的参数的特定范围。对于MCH模型，这些“可能观测到的”区域总是位于8 x 10^4 GeV < m_σ < 2 x 10^7 GeV的范围内，其中m_σ是曲率质量，视界出口处的哈勃尺度被选为H_* = 10^{10} GeV。由于“可能观测”区域取决于暴胀的总持续时间，因此来自粒子物理学和精确CMB观测的拉格朗日参数信息可以提供关于暴胀总持续时间的信息，而不仅仅是最后的N_{obs} e折叠。该方法也可以应用于包含附加标量场的任何模型，以确定这些标量场对曲率扰动有贡献的概率。
英文摘要：
We investigate the probability of obtaining an observable curvature perturbation, using as an example the minimal curvaton-higgs (MCH) model. We determine 'probably observable' and 'probably excluded' regions of parameter space assuming generic initial conditions and applying a stochastic approach for the curvaton's evolution during inflation. Inflation is assumed to last longer than the N_{obs} = 55 observable e-folds, and the total number of e-folds of inflation determines the particular ranges of parameters that are probable. For the MCH model, these 'probably observable' regions always lie within the range 8 x 10^4 GeV < m_σ < 2 x 10^7 GeV, where m_σ is the curvaton mass, and the Hubble scale at horizon exit is chosen as H_* = 10^{10} GeV. Because the 'probably observable' region depends on the total duration of inflation, information on parameters in the Lagrangian from particle physics and from precision CMB observables can therefore provide information about the total duration of inflation, not just the last N_{obs} e-folds. This method could also be applied to any model that contains additional scalar fields to determine the probability that these scalar fields contribute to the curvature perturbation.
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