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We perform a multi-tracer analysis using the complete Sloan Digital SkySurvey IV (SDSS-IV) extended Baryon Oscillation Spectroscopic Survey (eBOSS)DR16 luminous red galaxy (LRG) and the DR16 emission line galaxy (ELG) samplesin the configuration space, and successfully detect a cross correlation betweenthe two samples, and find the growth rate to be $f\sigma_8=0.342 \pm 0.085$($\sim25$ per cent accuracy) from the cross sample alone. We perform a jointmeasurement of the baryonic acoustic oscillation (BAO) and redshift spacedistortion (RSD) parameters at a single effective redshift of $z_{\rm eff}=0.77$, using the auto- and cross-correlation functions of the LRG and ELGsamples, and find that the comoving angular diameter distance $D_M(z_{\rmeff})/r_d = 18.85\pm 0.38$, the Hubble distance $D_H(z_{\rm eff})/r_d = 19.64\pm 0.57$, and $f\sigma_8(z_{\rm eff}) = 0.432 \pm 0.038$, which is consistentwith a $\Lambda$CDM model at $68\%$ CL. Compared to the single-tracer analysison the LRG sample, the Figure of Merit (FoM) of $\alpha_{\perp}, \alpha_{||}$and $f\sigma_8$ is improved by a factor of $1.11$ in our multi-tracer analysis,and in particular, the statistical uncertainty of $f\sigma_8$ is reduced by$11.6 \%$.

monthly notices of the royal astronomical society

The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic  Survey DR16 luminous red galaxy and emission line galaxy samples: cosmic  distance and structure growth measurements using multiple tracers in  configuration space