Kavli Institute for Cosmological Physics, Department of Astronomy & Astrophysics, Enrico Fermi Institute, University of Chicago, Chicago, Illinois 60637, USA.
Phys Rev Lett. 2014 Feb 7;112(5):051302. doi: 10.1103/PhysRevLett.112.051302. Epub 2014 Feb 6.
Current measurements of the low and high redshift Universe are in tension if we restrict ourselves to the standard six-parameter model of flat ΛCDM. This tension has two parts. First, the Planck satellite data suggest a higher normalization of matter perturbations than local measurements of galaxy clusters. Second, the expansion rate of the Universe today, H0, derived from local distance-redshift measurements is significantly higher than that inferred using the acoustic scale in galaxy surveys and the Planck data as a standard ruler. The addition of a sterile neutrino species changes the acoustic scale and brings the two into agreement; meanwhile, adding mass to the active neutrinos or to a sterile neutrino can suppress the growth of structure, bringing the cluster data into better concordance as well. For our fiducial data set combination, with statistical errors for clusters, a model with a massive sterile neutrino shows 3.5σ evidence for a nonzero mass and an even stronger rejection of the minimal model. A model with massive active neutrinos and a massless sterile neutrino is similarly preferred. An eV-scale sterile neutrino mass--of interest for short baseline and reactor anomalies--is well within the allowed range. We caution that (i) unknown astrophysical systematic errors in any of the data sets could weaken this conclusion, but they would need to be several times the known errors to eliminate the tensions entirely; (ii) the results we find are at some variance with analyses that do not include cluster measurements; and (iii) some tension remains among the data sets even when new neutrino physics is included.
如果我们仅限于平坦 ΛCDM 的标准六参数模型,那么对低红移和高红移宇宙的当前测量存在矛盾。这种矛盾有两个部分。首先,普朗克卫星数据表明物质扰动的归一化比星系团的本地测量更高。其次,今天宇宙的膨胀率 H0,从本地距离-红移测量中得出,明显高于从星系调查的声学标度和普朗克数据作为标准标尺推断出的值。添加惰性中微子种类会改变声学标度并使两者达成一致;同时,给活性中微子或惰性中微子增加质量可以抑制结构的增长,从而使星系团数据更好地一致。对于我们的基准数据集组合,加上星系团的统计误差,一个具有大量惰性中微子的模型显示出 3.5σ 的非零质量证据,并且对最小模型的拒绝更强。一个具有大量活性中微子和无质量惰性中微子的模型也同样受到青睐。eV 尺度的惰性中微子质量——对短基线和反应堆异常有兴趣——在允许范围内。我们警告说,(i)任何数据集的未知天体物理系统误差都可能削弱这一结论,但它们需要是已知误差的数倍才能完全消除矛盾;(ii)我们发现的结果与不包括星系团测量的分析存在差异;(iii)即使包括新的中微子物理,数据集之间仍然存在一些矛盾。