School of Physics and Astronomy, Cardiff University, Queens Buildings, The Parade, Cardiff, CF24 3AA, United Kingdom.
Institut d'Astrophysique Spatiale, CNRS (UMR8617) Université Paris-Sud 11, Bâtiment 121, Orsay, France.
Phys Rev Lett. 2015 Mar 13;114(10):101301. doi: 10.1103/PhysRevLett.114.101301. Epub 2015 Mar 9.
We report the results of a joint analysis of data from BICEP2/Keck Array and Planck. BICEP2 and Keck Array have observed the same approximately 400 deg^{2} patch of sky centered on RA 0 h, Dec. -57.5°. The combined maps reach a depth of 57 nK deg in Stokes Q and U in a band centered at 150 GHz. Planck has observed the full sky in polarization at seven frequencies from 30 to 353 GHz, but much less deeply in any given region (1.2 μK deg in Q and U at 143 GHz). We detect 150×353 cross-correlation in B modes at high significance. We fit the single- and cross-frequency power spectra at frequencies ≥150 GHz to a lensed-ΛCDM model that includes dust and a possible contribution from inflationary gravitational waves (as parametrized by the tensor-to-scalar ratio r), using a prior on the frequency spectral behavior of polarized dust emission from previous Planck analysis of other regions of the sky. We find strong evidence for dust and no statistically significant evidence for tensor modes. We probe various model variations and extensions, including adding a synchrotron component in combination with lower frequency data, and find that these make little difference to the r constraint. Finally, we present an alternative analysis which is similar to a map-based cleaning of the dust contribution, and show that this gives similar constraints. The final result is expressed as a likelihood curve for r, and yields an upper limit r_{0.05}<0.12 at 95% confidence. Marginalizing over dust and r, lensing B modes are detected at 7.0σ significance.
我们报告了 BICEP2/Keck 阵列和普朗克数据联合分析的结果。BICEP2 和 Keck 阵列观测了同一片大约 400 平方度的天空,中心位于赤经 0 小时,赤纬-57.5 度。联合地图在 150GHz 中心的波段中达到了 57nKdeg 的 Q 和 U 深度。普朗克在七个频率(30 到 353GHz)下对全天空进行了极化观测,但在任何给定区域的观测深度都要小得多(143GHz 时 Q 和 U 为 1.2μKdeg)。我们在高置信度下检测到了 B 模式在 150×353 交叉相关。我们使用之前对天空其他区域的普朗克分析中偏振尘埃发射的频域行为的先验,将大于等于 150GHz 的单频和交叉频率功率谱拟合到透镜化的 ΛCDM 模型中,该模型包括尘埃和可能来自于膨胀引力波的贡献(由张量-标量比 r 参数化)。我们发现尘埃的证据很强,但没有统计上显著的张量模式的证据。我们探测了各种模型变化和扩展,包括在低频数据中加入同步辐射成分,并发现这对 r 的限制影响很小。最后,我们提出了一种类似的基于地图的尘埃贡献清理的替代分析,并表明这给出了类似的限制。最终结果表示为 r 的似然曲线,并在 95%置信水平下给出 r_{0.05}<0.12 的上限。在尘埃和 r 边缘化后,透镜化 B 模式在 7.0σ 置信度下被检测到。