@misc{chapman2021completed,
  abstract = {We measure the small-scale clustering of the Data Release 16 extended Baryon
Oscillation Spectroscopic Survey Luminous Red Galaxy sample, corrected for
fibre-collisions using Pairwise Inverse Probability weights, which give
unbiased clustering measurements on all scales. We fit to the monopole and
quadrupole moments and to the projected correlation function over the
separation range $7-60\,h^{-1}$Mpc with a model based on the Aemulus
cosmological emulator to measure the growth rate of cosmic structure,
parameterized by $f\sigma_8$. We obtain a measurement of
$f\sigma_8(z=0.737)=0.408\pm0.038$, which is $1.4\sigma$ lower than the value
expected from 2018 Planck data for a flat $\Lambda$CDM model, and is more
consistent with recent weak-lensing measurements. The level of precision
achieved is 1.7 times better than more standard measurements made using only
the large-scale modes of the same sample. We also fit to the data using the
full range of scales $0.1-60\,h^{-1}$Mpc modelled by the Aemulus cosmological
emulator and find a $4.5\sigma$ tension in the amplitude of the halo velocity
field with the Planck+$\Lambda$CDM model, driven by a mismatch on the
non-linear scales. This may not be cosmological in origin, and could be due to
a breakdown in the Halo Occupation Distribution model used in the emulator.
Finally, we perform a robust analysis of possible sources of systematics,
including the effects of redshift uncertainty and incompleteness due to target
selection that were not included in previous analyses fitting to clustering
measurements on small scales.},
  added-at = {2021-06-30T06:25:17.000+0200},
  author = {Chapman, Michael J. and Mohammad, Faizan G. and Zhai, Zhongxu and Percival, Will J. and Tinker, Jeremy L. and Bautista, Julian E. and Brownstein, Joel R. and Burtin, Etienne and Dawson, Kyle S. and Gil-Marín, Héctor and de la Macorra, Axel and Ross, Ashley J. and Rossi, Graziano and Schneider, Donald P. and Zhao, Gong-Bo},
  biburl = {https://www.bibsonomy.org/bibtex/2b6be7ca32e66865d2f51c23e4fe8002e/gpkulkarni},
  description = {The completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: measurement of the growth rate of structure from the small-scale clustering of the luminous red galaxy sample},
  interhash = {8dd15a8ae1cee3e45a8c433b41681831},
  intrahash = {b6be7ca32e66865d2f51c23e4fe8002e},
  keywords = {library},
  note = {cite arxiv:2106.14961Comment: 19 pages, 16 figures, submitted to MNRAS},
  timestamp = {2021-06-30T06:25:17.000+0200},
  title = {The completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey:
  measurement of the growth rate of structure from the small-scale clustering
  of the luminous red galaxy sample},
  url = {http://arxiv.org/abs/2106.14961},
  year = 2021
}

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We fit to the monopole and quadrupole moments and to the projected correlation function over the separation range $7-60\\,h^{-1}$Mpc with a model based on the Aemulus cosmological emulator to measure the growth rate of cosmic structure, parameterized by $fσ_8$. We obtain a measurement of $fσ_8(z=0.737)=0.408±0.038$, which is $1.4σ$ lower than the value expected from 2018 Planck data for a flat $Λ$CDM model, and is more consistent with recent weak-lensing measurements. The level of precision achieved is 1.7 times better than more standard measurements made using only the large-scale modes of the same sample. We also fit to the data using the full range of scales $0.1-60\\,h^{-1}$Mpc modelled by the Aemulus cosmological emulator and find a $4.5σ$ tension in the amplitude of the halo velocity field with the Planck+$Λ$CDM model, driven by a mismatch on the non-linear scales. This may not be cosmological in origin, and could be due to a breakdown in the Halo Occupation Distribution model used in the emulator. Finally, we perform a robust analysis of possible sources of systematics, including the effects of redshift uncertainty and incompleteness due to target selection that were not included in previous analyses fitting to clustering measurements on small scales.","added-at":"2021-06-30T06:25:17.000+0200","author":[{"propositions":[],"lastnames":["Chapman"],"firstnames":["Michael","J."],"suffixes":[]},{"propositions":[],"lastnames":["Mohammad"],"firstnames":["Faizan","G."],"suffixes":[]},{"propositions":[],"lastnames":["Zhai"],"firstnames":["Zhongxu"],"suffixes":[]},{"propositions":[],"lastnames":["Percival"],"firstnames":["Will","J."],"suffixes":[]},{"propositions":[],"lastnames":["Tinker"],"firstnames":["Jeremy","L."],"suffixes":[]},{"propositions":[],"lastnames":["Bautista"],"firstnames":["Julian","E."],"suffixes":[]},{"propositions":[],"lastnames":["Brownstein"],"firstnames":["Joel","R."],"suffixes":[]},{"propositions":[],"lastnames":["Burtin"],"firstnames":["Etienne"],"suffixes":[]},{"propositions":[],"lastnames":["Dawson"],"firstnames":["Kyle","S."],"suffixes":[]},{"propositions":[],"lastnames":["Gil-Marín"],"firstnames":["Héctor"],"suffixes":[]},{"propositions":["de","la"],"lastnames":["Macorra"],"firstnames":["Axel"],"suffixes":[]},{"propositions":[],"lastnames":["Ross"],"firstnames":["Ashley","J."],"suffixes":[]},{"propositions":[],"lastnames":["Rossi"],"firstnames":["Graziano"],"suffixes":[]},{"propositions":[],"lastnames":["Schneider"],"firstnames":["Donald","P."],"suffixes":[]},{"propositions":[],"lastnames":["Zhao"],"firstnames":["Gong-Bo"],"suffixes":[]}],"biburl":"https://www.bibsonomy.org/bibtex/2b6be7ca32e66865d2f51c23e4fe8002e/gpkulkarni","description":"The completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: measurement of the growth rate of structure from the small-scale clustering of the luminous red galaxy sample","interhash":"8dd15a8ae1cee3e45a8c433b41681831","intrahash":"b6be7ca32e66865d2f51c23e4fe8002e","keywords":"library","note":"cite arxiv:2106.14961Comment: 19 pages, 16 figures, submitted to MNRAS","timestamp":"2021-06-30T06:25:17.000+0200","title":"The completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: measurement of the growth rate of structure from the small-scale clustering of the luminous red galaxy sample","url":"http://arxiv.org/abs/2106.14961","year":"2021","bibtex":"@misc{chapman2021completed,\n abstract = {We measure the small-scale clustering of the Data Release 16 extended Baryon\r\nOscillation Spectroscopic Survey Luminous Red Galaxy sample, corrected for\r\nfibre-collisions using Pairwise Inverse Probability weights, which give\r\nunbiased clustering measurements on all scales. We fit to the monopole and\r\nquadrupole moments and to the projected correlation function over the\r\nseparation range $7-60\\,h^{-1}$Mpc with a model based on the Aemulus\r\ncosmological emulator to measure the growth rate of cosmic structure,\r\nparameterized by $f\\sigma_8$. We obtain a measurement of\r\n$f\\sigma_8(z=0.737)=0.408\\pm0.038$, which is $1.4\\sigma$ lower than the value\r\nexpected from 2018 Planck data for a flat $\\Lambda$CDM model, and is more\r\nconsistent with recent weak-lensing measurements. The level of precision\r\nachieved is 1.7 times better than more standard measurements made using only\r\nthe large-scale modes of the same sample. We also fit to the data using the\r\nfull range of scales $0.1-60\\,h^{-1}$Mpc modelled by the Aemulus cosmological\r\nemulator and find a $4.5\\sigma$ tension in the amplitude of the halo velocity\r\nfield with the Planck+$\\Lambda$CDM model, driven by a mismatch on the\r\nnon-linear scales. This may not be cosmological in origin, and could be due to\r\na breakdown in the Halo Occupation Distribution model used in the emulator.\r\nFinally, we perform a robust analysis of possible sources of systematics,\r\nincluding the effects of redshift uncertainty and incompleteness due to target\r\nselection that were not included in previous analyses fitting to clustering\r\nmeasurements on small scales.},\n added-at = {2021-06-30T06:25:17.000+0200},\n author = {Chapman, Michael J. and Mohammad, Faizan G. and Zhai, Zhongxu and Percival, Will J. and Tinker, Jeremy L. and Bautista, Julian E. and Brownstein, Joel R. and Burtin, Etienne and Dawson, Kyle S. and Gil-Marín, Héctor and de la Macorra, Axel and Ross, Ashley J. and Rossi, Graziano and Schneider, Donald P. and Zhao, Gong-Bo},\n biburl = {https://www.bibsonomy.org/bibtex/2b6be7ca32e66865d2f51c23e4fe8002e/gpkulkarni},\n description = {The completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: measurement of the growth rate of structure from the small-scale clustering of the luminous red galaxy sample},\n interhash = {8dd15a8ae1cee3e45a8c433b41681831},\n intrahash = {b6be7ca32e66865d2f51c23e4fe8002e},\n keywords = {library},\n note = {cite arxiv:2106.14961Comment: 19 pages, 16 figures, submitted to MNRAS},\n timestamp = {2021-06-30T06:25:17.000+0200},\n title = {The completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey:\r\n measurement of the growth rate of structure from the small-scale clustering\r\n of the luminous red galaxy sample},\n url = {http://arxiv.org/abs/2106.14961},\n year = 2021\n}\n\n","author_short":["Chapman, M. 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