论文标题
测试红移Z〜1.5的宇宙学量表的总体相对论，并使用类星体和CMB镜头测试
Testing General Relativity on cosmological scales at redshift z ~ 1.5 with quasar and CMB lensing
论文作者
论文摘要
我们通过估计统计$ e_g $，一种重力探针，在宇宙学量表上$ 19-190 \，h^{ - 1} {\ rm mpc} $，通过估计统计$ e_g $，一种重力探测器，以有效的红移$ \ bar {z} \ sim 1.5 $测试常规相对性（GR）。到目前为止，这是$ e_g $的最高降低和最大规模的估计。 We use the quasar sample with redshifts $0.8 < z < 2.2$ from Sloan Digital Sky Survey IV extended Baryon Oscillation Spectroscopic Survey (eBOSS) Data Release 16 (DR16) as the large-scale structure (LSS) tracer, for which the angular power spectrum $C_\ell^{qq}$ and the redshift-space distortion (RSD) parameter $β$ are 估计的。通过与$ \ textit {planck} $ 2018宇宙微波背景（CMB）镜头图相关，我们检测到角跨功率频谱$ c_ \ ell^eell^{κQ} $信号为$ 12 \，σ$ aintivance。折刀重新采样和模拟都用于估计$ 5 $ bin的协方差矩阵（cm），$ 5 $ bins涵盖了不同的尺度，后来首选其对协方差的更好约束。我们发现$ e_g $估计值与所有这些量表上的GR预测相一致。在CM估计为$ 300 $模拟的情况下，我们报告了$ e_g（\ bar {z}）= 0.30 \ pm 0.05 $的最佳拟合规模平均估计值，这与GR预测$ e_g^{\ rm grm gr}（\ bar {z}）（\ bar {z}）（\ bar {z}）= 0.33 $ a $ \ textiT ba，分数$ω_ {\ rm m} = 0.31 $。 $ e_g $的统计误差与未来的LSS调查在类似的红移中将通过数量级减少，这使得可以约束修改的重力模型。
We test general relativity (GR) at the effective redshift $\bar{z} \sim 1.5$ by estimating the statistic $E_G$, a probe of gravity, on cosmological scales $19 - 190\,h^{-1}{\rm Mpc}$. This is the highest-redshift and largest-scale estimation of $E_G$ so far. We use the quasar sample with redshifts $0.8 < z < 2.2$ from Sloan Digital Sky Survey IV extended Baryon Oscillation Spectroscopic Survey (eBOSS) Data Release 16 (DR16) as the large-scale structure (LSS) tracer, for which the angular power spectrum $C_\ell^{qq}$ and the redshift-space distortion (RSD) parameter $β$ are estimated. By cross correlating with the $\textit{Planck}$ 2018 cosmic microwave background (CMB) lensing map, we detect the angular cross-power spectrum $C_\ell^{κq}$ signal at $12\,σ$ significance. Both jackknife resampling and simulations are used to estimate the covariance matrix (CM) of $E_G$ at $5$ bins covering different scales, with the later preferred for its better constraints on the covariances. We find $E_G$ estimates agree with the GR prediction at $1\,σ$ level over all these scales. With the CM estimated with $300$ simulations, we report a best-fit scale-averaged estimate of $E_G(\bar{z})=0.30\pm 0.05$, which is in line with the GR prediction $E_G^{\rm GR}(\bar{z})=0.33$ with $\textit{Planck}$ 2018 CMB+BAO matter density fraction $Ω_{\rm m}=0.31$. The statistical errors of $E_G$ with future LSS surveys at similar redshifts will be reduced by an order of magnitude, which makes it possible to constrain modified gravity models.
