论文标题
用精确双光谱探测通货膨胀
Probing Inflation with Precision Bispectra
论文作者
论文摘要
计算通过通货膨胀模型预测的原始双光谱，并将其与我们在天空中看到的比较是非常密集的，需要近似层的层，并限制了可以限制的模型。利用在可分离的基础功能中扩展的树木级别形式主义的固有可分离性提供了一种方法来消除其中一些困难。在这里，我们将这种方法进一步开发为一种实用，有效的数值方法论，该方法可以应用于宽大，更复杂的双光谱现象学范围，从而迈向了可以直接面对特定通货膨胀模型的观察管道迈出的重要一步。我们描述了一个简单的增强Legendre多项式基础及其优势，然后在具有非平凡现象学的单场通货膨胀模型上测试该方法，表明我们对这些系数的计算是快速准确地到高阶的。
Calculating the primordial bispectrum predicted by a model of inflation and comparing it to what we see in the sky is very computationally intensive, necessitating layers of approximations and limiting the models which can be constrained. Exploiting the inherent separability of the tree level in-in formalism using expansions in separable basis functions provides a means by which to obviate some of these difficulties. Here, we develop this approach further into a practical and efficient numerical methodology which can be applied to a much wider and more complicated range of bispectrum phenomenology, making an important step forward towards observational pipelines which can directly confront specific models of inflation. We describe a simple augmented Legendre polynomial basis and its advantages, then test the method on single-field inflation models with non-trivial phenomenology, showing that our calculation of these coefficients is fast and accurate to high orders.
