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Title: Cosmic distance inference from purely geometric BAO methods: Linear point standard ruler and correlation function model fitting

Journal Article · · Physical Review D
 [1];  [2];  [3];  [4];  [5];  [4]
  1. University Paris-Diderot (France); Institut d'Astrophysique de Paris (France); Univ. Pierre et Marie Curie, Paris (France)
  2. University Paris-Diderot (France)
  3. Max Planck Inst. fuer Extraterrestrische Physik, Garching (Germany)
  4. Case Western Reserve Univ., Cleveland, OH (United States)
  5. Univ. of Pennsylvania, Philadelphia, PA (United States); International Centre for Theoretical Physics (ICTP), Trieste (Italy)
+ Show Author Affiliations

Leveraging the baryon acoustic oscillations (BAO) feature present in clustering 2-point statistics, we aim to measure cosmological distances independently of the underlying background cosmological model. However this inference is complicated by late-time nonlinearities that introduce model and tracer dependencies in the clustering correlation function and power spectrum, which must be properly accounted for. With this in mind, we introduce the “purely geometric-BAO,” which provides a rigorous tool to measure cosmological distances without assuming a specific background cosmology. We focus on the 2-point clustering correlation function monopole, and show how to implement such an inference scheme employing two different methodologies: the linear point standard ruler (LP) and correlation-function model-fitting (CF-MF). For the first time we demonstrate how, by means of the CF-MF, we can measure very precisely the sound-horizon/isotropic-volume-distance ratio, rd/DV(z¯), while correctly propagating all the uncertainties. Using synthetic data, we compare the outcomes of the two methodologies, and find that the LP provides up to 50% more precise measurements than the CF-MF. Finally, we test a procedure widely employed in BAO analyses: fitting the 2-point function while fixing the cosmological and the non-linear-damping parameters at fiducial values. We find that this underestimates the distance errors by nearly a factor of 2. Furthermore, we recommend that this practice be reconsidered, whether for parameter determination or model selection.

Research Organization:
Case Western Reserve Univ., Cleveland, OH (United States)
Sponsoring Organization:
USDOE Office of Science (SC); National Science Foundation (NSF); European Research Council (ERC); USDOE
Grant/Contract Number:
SC0009946; AST-1612085; 279954
OSTI ID:
1611266
Alternate ID(s):
OSTI ID: 1526089
Journal Information:
Physical Review D, Vol. 99, Issue 12; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 17 works
Citation information provided by
Web of Science

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Cited By (3)

Measuring the Distances to Quasars at High Redshifts with Strong Lensing journal September 2019
CMB Tensions with Low-Redshift H0 and S8 Measurements: Impact of a Redshift-Dependent Type-Ia Supernovae Intrinsic Luminosity journal August 2019
CMB tensions with low-redshift $H_0$ and $S_8$ measurements: impact of a redshift-dependent type-Ia supernovae intrinsic luminosity text January 2019

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