论文标题

普朗克对张量比比率的约束

Planck constraints on the tensor-to-scalar ratio

论文作者

Tristram, M., Banday, A. J., Górski, K. M., Keskitalo, R., Lawrence, C. R., Andersen, K. J., Barreiro, R. B., Borrill, J., Eriksen, H. K., Fernandez-Cobos, R., Kisner, T. S., Martínez-González, E., Partridge, B., Scott, D., Svalheim, T. L., Thommesen, H., Wehus, I. K.

论文摘要

我们使用Planck数据对张量比R进行了限制。我们使用使用NPIPE代码处理的最新版本的Planck Maps(PR4),该版本使用同一管道在所有Planck通道中生成了从30 GHz到857 GHz的所有Planck通道的校准频率图。我们使用BB角功率谱对R计算了约束,我们还讨论了来自TT频谱的约束。考虑到普朗克的噪声水平,TT频谱对R的限制给出了限制R的约束($σ$(R)= 0.093),但是我们表明,边缘化的后峰朝着R的负值在R处的负值约为1.2 $σ$级别。我们使用BB功率谱在大的角度尺度(“电离凸起”)和中间角度尺度(“重组凸起”)从$ \ ell $ = 2到150来得出Planck约束。鉴于统计噪声和系统的不确定性,Planck BB频谱没有系统的偏见,并且与零兼容。使用B模式的可能性分析使用超过50%的天空以95%的置信度产生约束R <0.158。当Planck EE,BB和EB功率光谱始终如一地组合时,该上限将收紧至r <0.069,当组合中包含Planck TT功率谱时,它将进一步收紧至r <0.056。最后,将Planck与Bicep2/Keck 2015数据相结合的上限r <0.044。

We present constraints on the tensor-to-scalar ratio r using Planck data. We use the latest release of Planck maps (PR4), processed with the NPIPE code, which produces calibrated frequency maps in temperature and polarization for all Planck channels from 30 GHz to 857 GHz using the same pipeline. We computed constraints on r using the BB angular power spectrum, and we also discuss constraints coming from the TT spectrum. Given Planck's noise level, the TT spectrum gives constraints on r that are cosmic-variance limited (with $σ$(r)=0.093), but we show that the marginalized posterior peaks towards negative values of r at about the 1.2$σ$ level. We derived Planck constraints using the BB power spectrum at both large angular scales (the 'reionization bump') and intermediate angular scales (the 'recombination bump') from $\ell$=2 to 150, and find a stronger constraint than that from TT, with $σ$(r)=0.069. The Planck BB spectrum shows no systematic bias, and is compatible with zero, given both the statistical noise and the systematic uncertainties. The likelihood analysis using B modes yields the constraint r<0.158 at 95% confidence using more than 50% of the sky. This upper limit tightens to r<0.069 when Planck EE, BB, and EB power spectra are combined consistently, and it tightens further to r<0.056 when the Planck TT power spectrum is included in the combination. Finally, combining Planck with BICEP2/Keck 2015 data yields an upper limit of r<0.044.

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