论文标题
Planck CMB功率谱中的透镜幅度过多
Excess of lensing amplitude in the Planck CMB power spectrum
论文作者
论文摘要
Planck宇宙微波背景（CMB）角功率谱（AP）的精确测量刺激了对镜头幅度参数$ a_ {l} $的准确统计分析。要确认它是否满足Flat-$λ$ CDM COSORDANCE模型预期的值，即$ a_ {l} = 1 $，我们研究了获得的频谱差为：测量的Planck CMB APS和Planck最佳拟合$λ$ CDM APS模型的差异。要知道该残留频谱是否对应于统计噪声，或者它具有HIDEN签名，可以用较大的镜头幅度$ a_ {l}> 1 $来解释，我们应用Ljung-box统计测试，并且发现具有较高的统计意义，具有较高的统计意义，该光谱差异不是统计噪声。然后，基于Planck $λ$ CDM最佳拟合模型，使用模拟AP详细分析了此频谱差异，其中镜头幅度是一个自由参数。我们探索了多极顺序\，$ \ ell $ \的不同二合一，并寻找最佳拟合镜头幅度参数，该参数解释了$χ^2 $过程中的频谱差异。我们发现，有多余的信号由$λ$ CDM APS很好地解释，其中具有非透明镜头振幅参数$ a_ {lens} $，在68 \％置信度下为间隔$ [0.10,0.29] $的值。此外，普朗克AP中的镜头参数应为$ 1 + a_ {lens}> 1 $ at $ \ sim3σ$的统计信心。此外，我们执行统计测试，以确认该结果的鲁棒性。重要的是要说，一旦检测到的尺度对应于这些问题群集过程，一旦普朗克平坦的$λ$ CDM模型未考虑到普朗克flanck $λ$ CDM模型中的过多镜头幅度。
Precise measurements of the Planck cosmic microwave background (CMB) angular power spectrum (APS) at small angles have stimulated accurate statistical analyses of the lensing amplitude parameter $A_{L}$. To confirm if it satisfies the value expected by the flat-$Λ$CDM concordance model, i.e. $A_{L} = 1$, we investigate the spectrum difference obtained as: the difference of the measured Planck CMB APS and the Planck best-fit $Λ$CDM APS model. To know if this residual spectrum corresponds to statistical noise or if it has a hiden signature that can be accounted for with a larger lensing amplitude $A_{L} > 1$, we apply the Ljung-Box statistical test and find, with high statistical significance, that the spectrum difference is not statistical noise. This spectrum difference is then analysed in detail using simulated APS, based on the Planck $Λ$CDM best-fit model, where the lensing amplitude is a free parameter. We explore different binnations of the multipole order \,$\ell$\, and look for the best-fit lensing amplitude parameter that accounts for the spectrum difference in a $χ^2$ procedure. We find that there is an excess of signal that is well explained by a $Λ$CDM APS with a non-null lensing amplitude parameter $A_{lens}$, with values in the interval $[0.10,0.29]$ at 68\% confidence level. Furthermore, the lensing parameter in the Planck APS should be $1 + A_{lens} > 1$ at $\sim 3 σ$ of statistical confidence. Additionally, we perform statistical tests that confirm the robustness of this result. Important to say that this excess of lensing amplitude, not accounted in the Planck's flat-$Λ$CDM model, could have an impact on the theoretical expectation of large-scale structures formation once the scales where it was detected correspond to these matter clustering processes.
