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arXiv 0709.1944astro-phgr-qchep-th
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用WMAP后3年数据估算原始光谱

Estimation of Primordial Spectrum with post-WMAP 3 year data

Arman Shafieloo, Tarun Souradeep

摘要:

在本文中,我们实现了一个改进的(误差敏感)Richardson-Lucy反卷积算法的测量角功率谱从WMAP 3年的数据,以确定原始的功率谱假设不同的点在宇宙学参数空间的平坦LCDM宇宙学模型。我们还提出了宇宙学参数估计的初步结果,假设一个自由形式的原始频谱,一个合理的大体积的参数空间。宇宙学参数空间中相当大数量的点的恢复谱的似然性远远好于“最佳拟合”幂律谱,其最大值为Δχ^2_{eff} \approx-30。我们使用离散小波变换(DWT)平滑的原始恢复光谱从分箱数据。这里得到的结果再次确认和锐化从我们以前的WMAP第一年的数据分析得出的结论。在视界尺度附近的一个尖锐的截止和视界尺度之后的一个凸起似乎是所有这些重建的原始光谱的共同特征。我们已经表明,虽然WMAP 3年的数据更喜欢一个较低的物质密度值的幂律形式的原始频谱,对于一个自由形式的频谱,我们可以得到一个很好的可能性,以数据的物质密度值较高。我们还表明,即使是一个平坦的CDM模型,允许原始频谱的自由形式,可以给一个非常高的可能性适合的数据。对结果的理论解释对宇宙学界是开放的。然而,这项工作提供了强有力的证据表明,即使在选择原始光谱时有充分的自由,这些数据在宇宙学参数空间中仍然具有辨别力。

英文摘要:

In this paper we implement an improved (error sensitive) Richardson-Lucy deconvolution algorithm on the measured angular power spectrum from the WMAP 3 year data to determine the primordial power spectrum assuming different points in the cosmological parameter space for a flat LCDM cosmological model. We also present the preliminary results of the cosmological parameter estimation by assuming a free form of the primordial spectrum, for a reasonably large volume of the parameter space. The recovered spectrum for a considerably large number of the points in the cosmological parameter space has a likelihood far better than a `best fit' power law spectrum up to Δχ^2_{eff} \approx -30. We use Discrete Wavelet Transform (DWT) for smoothing the raw recovered spectrum from the binned data. The results obtained here reconfirm and sharpen the conclusion drawn from our previous analysis of the WMAP 1st year data. A sharp cut off around the horizon scale and a bump after the horizon scale seem to be a common feature for all of these reconstructed primordial spectra. We have shown that although the WMAP 3 year data prefers a lower value of matter density for a power law form of the primordial spectrum, for a free form of the spectrum, we can get a very good likelihood to the data for higher values of matter density. We have also shown that even a flat CDM model, allowing a free form of the primordial spectrum, can give a very high likelihood fit to the data. Theoretical interpretation of the results is open to the cosmology community. However, this work provides strong evidence that the data retains discriminatory power in the cosmological parameter space even when there is full freedom in choosing the primordial spectrum.

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