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arXiv 0901.4550astro-ph.COhep-phhep-th
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包含大量中微子的非线性功率谱:时间RG流方法

Non-linear Power Spectrum including Massive Neutrinos: the Time-RG Flow Approach

J. Lesgourgues, S. Matarrese, M. Pietroni, A. Riotto

摘要:

未来的大尺度结构观测预计将对0.05 eV或更大量级的小中微子质量敏感。然而,预测是基于这样的假设,即到这些数据集可用的时候,在中微子质量存在的情况下的非线性光谱将以至少等于中微子质量效应本身的准确度被预测,即大约3%。出于这些考虑,我们提出的非线性功率谱的LambdaCDM模型中存在的大质量中微子的重整化群时间流方法的计算,这相当于一个重申的微扰修正的物质功率谱的所有订单。我们将所得结果与线性理论、单圈微扰理论和N体模拟等方法进行了比较,结果表明时间RG方法在拟合N体数据方面改进了单圈方法,特别是在确定中微子质量较大时物质功率谱相对于线性功率谱的抑制方面.

英文摘要:

Future large scale structure observations are expected to be sensitive to small neutrino masses, of the order of 0.05 eV or more. However, forecasts are based on the assumption that by the time at which these datasets will be available, the non-linear spectrum in presence of neutrino mass will be predicted with an accuracy at least equal to the neutrino mass effect itself, i.e. about 3%. Motivated by these considerations, we present the computation of the non-linear power spectrum of LambdaCDM models in the presence of massive neutrinos using the Renormalization Group time-flow approach, which amounts to a resummation of perturbative corrections to the matter power spectrum to all orders. We compare our results with those obtained with other methods, i.e. linear theory, one-loop perturbation theory and N-body simulations and show that the time-RG method improves the one-loop method in fitting the N-body data, especially in determining the suppression of the matter power spectrum when neutrino are massive with respect to the linear power spectrum.

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