We present an effective model for the one-dimensional Lyman-α flux power spectrum far above the baryonic Jeans scale. The main new ingredient is constituted by a set of two parameters that encode the impact of small, highly non-linear scales on the one-dimensional power spectrum on large scales, where it is measured by BOSS. We show that, by marginalizing over the model parameters that capture the impact of the intergalactic medium, the flux power spectrum from both simulations and observations can be described with high precision. The model displays a degeneracy between the neutrino masses and the (unknown, in our formalism) normalization of the flux power spectrum. This degeneracy can be lifted by calibrating one of the model parameters with simulation data, and using input from Planck CMB data. We demonstrate that this approach can be used to extract bounds on the sum of neutrino masses with comparably low numerical effort, while allowing for a conservative treatment of uncertainties from the dynamics of the intergalactic medium. An explorative analysis yields an upper bound of 0.16eV at 95%C.L. when applied to BOSS data at 3 ≤ z ≤ 4.2. We also forecast that if the systematic and statistical errors will be reduced by a factor two the upper bound will become 0.1eV at 95%C.L, and 0.056eV when assuming a 1% error.

我们提出了一个远高于重子牛仔裤尺度的一维莱曼-α通量功率谱的有效模型。主要的新成分由一组两个参数构成，这些参数编码小、高度非线性尺度对大尺度一维功率谱的影响，由 BOSS 测量。我们表明，通过边缘化捕捉星系间介质影响的模型参数，可以高精度地描述来自模拟和观测的通量功率谱。该模型显示了中微子质量和通量功率谱的（在我们的形式中是未知的）归一化之间的简并。这种退化可以通过用模拟数据校准模型参数之一，并使用来自普朗克 CMB 数据的输入来消除。我们证明，这种方法可用于以相对较低的数值努力提取中微子质量总和的界限，同时允许对星系间介质动力学的不确定性进行保守处理。当应用于 3 ≤ z ≤ 4.2 的 BOSS 数据时，探索性分析在 95%CL 处产生 0.16eV 的上限。我们还预测，如果系统误差和统计误差减少两倍，则上限在 95%CL 时将变为 0.1eV，在假设误差为 1% 时将变为 0.056eV。