The redshift dependence of Alcock-Paczynski effect: cosmological constraints from the current and next generation observations

Abstract

The tomographic Alcock-Paczynski (AP) test is a robust large-scale structure (LSS) measurement that receives little contamination from the redshift space distortion (RSD). It has placed tight cosmological constraints by using small and intermediate clustering scales of the LSS data. However, previous works have neglected the cross-correlation among different redshift bins, which could cause the statistical uncertainty being underestimated by $\sim$20\%. In this work, we further improve this method by including this multi-redshifts full correlation. We apply it to the SDSS DR12 galaxies sample and find out that, for $\Lambda$CDM, the combination of AP with the Planck+BAO dataset slightly reduces (within 1-$\sigma$) ${\Omega }_m$ to $0.304\pm 0.007$ (68.3\% CL). This then leads to a larger $H_0$ and also mildly affects ${\Omega }_b{h}^2$, $n_s$ and the derived parameters $z_{\ast }$, $r_{\ast }$, $z_{re}$ but not $\tau$, $A_s$ and ${\sigma }_8$. For the flat $w$CDM model, our measurement gives ${\Omega }_m=0.301\pm 0.010$ and $w=-1.090\pm 0.047$, where the additional AP measurement reduces the error budget by $\sim 25\%$. When including more parameters into the analysis, the AP method also improves the constraints on ${\Omega }_k$, $\sum m_{\mu }$, $N_{\mathrm{eff}}$ by $20-30\%$. Early universe parameters such as $d{n}_s/d\ln k$ and $r$, however, are unaffected. Assuming the dark energy equation of state $w=w_0+w_a\frac{z}{1+z}$, the Planck+BAO+SNIa+$H_0$+AP datasets prefer a dynamical dark energy at $\approx 1.5\sigma$ CL. Finally, we forecast the cosmological constraints expected from the DESI galaxy survey and find that combining AP with CMB+BAO method would improve the $w_0$-$w_a$ constraint by a factor of $\sim 10$.

arXiv comment13 pages, 12 figures, 3 tables. Accepted for publication in ApJ

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• Cosmological Constraint Precision of the Photometric and Spectroscopic Multi-probe Surveys of China Space Station Telescope (CSST)
• Tomographic Alcock-Paczynski Test with Redshift-Space Correlation Function: Evidence for the Dark Energy Equation of State Parameter w>-1
• Non-parametric dark energy reconstruction using the tomographic Alcock-Paczynski test
• Measuring the cosmic expansion rate using 21-cm velocity acoustic oscillations
• Using the Mark Weighted Correlation Functions to Improve the Constraints on Cosmological Parameters
• Cosmological constraints from the redshift dependence of the Alcock-Paczynski effect: Fourier space analysis
• Cosmological constraints from the redshift dependence of the Alcock-Paczynski effect: Possibility of estimateing the non-linear systematics using fast simulations
• Improving Constraint on ${\Omega }_m$ from SDSS Using Marked Correlation Functions
• Non-Linearity-Free prediction of the growth-rate $f{\sigma }_8$ using Convolutional Neural Networks
• Tomographic Alcock-Paczynski Method with Redshift Errors
• Cosmological constraints from the density gradient weighted correlation function
• Tomographic Alcock-Paczynski Test with Marked Correlation Functions