Summary of the external constraints determined using measurements from eBOSS and Planck.
| BAO-|$\theta _*$| measurements|$^{*}$| . | |||
|---|---|---|---|
| |$z_{\text{eff}}$| . | |$D_M(z_*)/D_V(z)$| . | |$D_M(z_*)/D_M(z)$| . | |$D_M(z_*)/D_H(z)$| . |
| 0.15 | |$21.13 \pm 0.80$| | – | – |
| 0.38 | – | |$9.22 \pm 0.15$| | |$3.78 \pm 0.11$| |
| 0.51 | – | |$7.06 \pm 0.11$| | |$4.23 \pm 0.11$| |
| 0.70 | – | |$5.28 \pm 0.10$| | |$4.88 \pm 0.14$| |
| 0.85 | |$5.15 \pm 0.25$| | – | – |
| 1.48 | – | |$3.07 \pm 0.08$| | |$7.12 \pm 0.30$| |
| 2.33 | – | |$2.52 \pm 0.13$| | |$10.58 \pm 0.34$| |
| 2.33 | – | |$2.52 \pm 0.11$| | |$10.42 \pm 0.36$| |
| CMB-R measurements|$^\dagger$| | |||
| |$z_*$| | |$\Omega _{\rm k}$| | R | |
| 1089.95 | |$=0$| | |$1.7502\pm 0.0046$| | |
| 1089.46 | |$\ne 0$| | |$1.7429\pm 0.0051$| | |
| BAO-|$\theta _*$| measurements|$^{*}$| . | |||
|---|---|---|---|
| |$z_{\text{eff}}$| . | |$D_M(z_*)/D_V(z)$| . | |$D_M(z_*)/D_M(z)$| . | |$D_M(z_*)/D_H(z)$| . |
| 0.15 | |$21.13 \pm 0.80$| | – | – |
| 0.38 | – | |$9.22 \pm 0.15$| | |$3.78 \pm 0.11$| |
| 0.51 | – | |$7.06 \pm 0.11$| | |$4.23 \pm 0.11$| |
| 0.70 | – | |$5.28 \pm 0.10$| | |$4.88 \pm 0.14$| |
| 0.85 | |$5.15 \pm 0.25$| | – | – |
| 1.48 | – | |$3.07 \pm 0.08$| | |$7.12 \pm 0.30$| |
| 2.33 | – | |$2.52 \pm 0.13$| | |$10.58 \pm 0.34$| |
| 2.33 | – | |$2.52 \pm 0.11$| | |$10.42 \pm 0.36$| |
| CMB-R measurements|$^\dagger$| | |||
| |$z_*$| | |$\Omega _{\rm k}$| | R | |
| 1089.95 | |$=0$| | |$1.7502\pm 0.0046$| | |
| 1089.46 | |$\ne 0$| | |$1.7429\pm 0.0051$| | |
Notes.|$^{*}$| The product of the BAO measurements with the CMB acoustic scale.
|$^{\dagger }$| In this work we use the ‘shift parameter’ R that is related to the heights of the CMB acoustic peaks and depend on the line-of-sight distance to the sound horizon.
Summary of the external constraints determined using measurements from eBOSS and Planck.
| BAO-|$\theta _*$| measurements|$^{*}$| . | |||
|---|---|---|---|
| |$z_{\text{eff}}$| . | |$D_M(z_*)/D_V(z)$| . | |$D_M(z_*)/D_M(z)$| . | |$D_M(z_*)/D_H(z)$| . |
| 0.15 | |$21.13 \pm 0.80$| | – | – |
| 0.38 | – | |$9.22 \pm 0.15$| | |$3.78 \pm 0.11$| |
| 0.51 | – | |$7.06 \pm 0.11$| | |$4.23 \pm 0.11$| |
| 0.70 | – | |$5.28 \pm 0.10$| | |$4.88 \pm 0.14$| |
| 0.85 | |$5.15 \pm 0.25$| | – | – |
| 1.48 | – | |$3.07 \pm 0.08$| | |$7.12 \pm 0.30$| |
| 2.33 | – | |$2.52 \pm 0.13$| | |$10.58 \pm 0.34$| |
| 2.33 | – | |$2.52 \pm 0.11$| | |$10.42 \pm 0.36$| |
| CMB-R measurements|$^\dagger$| | |||
| |$z_*$| | |$\Omega _{\rm k}$| | R | |
| 1089.95 | |$=0$| | |$1.7502\pm 0.0046$| | |
| 1089.46 | |$\ne 0$| | |$1.7429\pm 0.0051$| | |
| BAO-|$\theta _*$| measurements|$^{*}$| . | |||
|---|---|---|---|
| |$z_{\text{eff}}$| . | |$D_M(z_*)/D_V(z)$| . | |$D_M(z_*)/D_M(z)$| . | |$D_M(z_*)/D_H(z)$| . |
| 0.15 | |$21.13 \pm 0.80$| | – | – |
| 0.38 | – | |$9.22 \pm 0.15$| | |$3.78 \pm 0.11$| |
| 0.51 | – | |$7.06 \pm 0.11$| | |$4.23 \pm 0.11$| |
| 0.70 | – | |$5.28 \pm 0.10$| | |$4.88 \pm 0.14$| |
| 0.85 | |$5.15 \pm 0.25$| | – | – |
| 1.48 | – | |$3.07 \pm 0.08$| | |$7.12 \pm 0.30$| |
| 2.33 | – | |$2.52 \pm 0.13$| | |$10.58 \pm 0.34$| |
| 2.33 | – | |$2.52 \pm 0.11$| | |$10.42 \pm 0.36$| |
| CMB-R measurements|$^\dagger$| | |||
| |$z_*$| | |$\Omega _{\rm k}$| | R | |
| 1089.95 | |$=0$| | |$1.7502\pm 0.0046$| | |
| 1089.46 | |$\ne 0$| | |$1.7429\pm 0.0051$| | |
Notes.|$^{*}$| The product of the BAO measurements with the CMB acoustic scale.
|$^{\dagger }$| In this work we use the ‘shift parameter’ R that is related to the heights of the CMB acoustic peaks and depend on the line-of-sight distance to the sound horizon.
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