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Title: Linear point and sound horizon as purely geometric standard rulers

Abstract

The baryon acoustic oscillations feature (BAO) imprinted in the clustering correlation function is known to furnish us cosmic distance determinations that are independent of the cosmological-background model and the primordial perturbation parameters. These measurements can be accomplished rigorously by means of the purely geometric BAO methods. To date two different purely geometric BAO approaches have been proposed. The first exploits the linear-point standard ruler. The second, called correlation-function model-fitting, exploits the sound-horizon standard ruler. A key difference between them is that, when estimated from clustering data, the linear point makes use of a cosmological-model-independent procedure to extract the ratio of the ruler to the cosmic distance, while the correlation-function model-fitting relies on a phenomenological cosmological model for the correlation function. Nevertheless the two rulers need to be precisely defined independently of any specific observable (e.g., the BAO). We define the linear point and sound horizon and we fully characterize and compare the two rulers’ cosmological-parameter dependence. We find that they are both geometrical (i.e., independent of the primordial cosmological parameters) within the required accuracy, and that they have the same parameter dependence for a wide range of parameter values. We estimate the rulers’ best-fit values and errors, given the cosmologicalmore » constraints obtained by the Planck Satellite team from their measurements of the cosmic microwave background temperature and polarization anisotropies. We do this for three different cosmological models encompassed by the purely geometric BAO methods. In each case we find that the relative errors of the two rulers coincide and they are insensitive to the assumed cosmological model. Interestingly both the linear point and the sound horizon shift by 0.5σ when we do not fix the spatial geometry to be flat in Λ CDM. Finally, this points toward a sensitivity of the rulers to different cosmological models when they are estimated from the cosmic microwave background.« less

Authors:
 [1]; ORCiD logo [2]; ORCiD logo [1];  [3]; ORCiD logo [4]; ORCiD logo [1]
  1. Case Western Reserve Univ., Cleveland, OH (United States)
  2. Université Paris Sciences et Lettres (PSL) Research Univ., Meudon (France). Laboratory for the Universe and THeory (LUTH); Centre National de la Recherche Scientifique (CNRS), Paris (France); Univ. Paris Diderot, Paris (France). Inst. d’Astrophysique de Paris; TECHNION—Israel Inst. of Technology, Haifa (Israel)
  3. Université Paris Sciences et Lettres (PSL) Research Univ., Meudon (France). Laboratory for the Universe and THeory (LUTH); Centre National de la Recherche Scientifique (CNRS), Paris (France); Univ. Paris Diderot, Paris (France). Inst. d’Astrophysique de Paris;
  4. Univ. of Pennsylvania, Philadelphia, PA (United States); Abdus Salam International Center for Theoretical Physics, Trieste (Italy)
Publication Date:
Research Org.:
Case Western Reserve Univ., Cleveland, OH (United States). Dept. of Physics
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1616506
Alternate Identifier(s):
OSTI ID: 1645131
Grant/Contract Number:  
SC0009946
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 101; Journal Issue: 8; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; BAO; Linear Point; CMB; large-scale structure of Universe

Citation Formats

O’Dwyer, Márcio, Anselmi, Stefano, Starkman, Glenn D., Corasaniti, Pier-Stefano, Sheth, Ravi K., and Zehavi, Idit. Linear point and sound horizon as purely geometric standard rulers. United States: N. p., 2020. Web. doi:10.1103/PhysRevD.101.083517.
O’Dwyer, Márcio, Anselmi, Stefano, Starkman, Glenn D., Corasaniti, Pier-Stefano, Sheth, Ravi K., & Zehavi, Idit. Linear point and sound horizon as purely geometric standard rulers. United States. doi:https://doi.org/10.1103/PhysRevD.101.083517
O’Dwyer, Márcio, Anselmi, Stefano, Starkman, Glenn D., Corasaniti, Pier-Stefano, Sheth, Ravi K., and Zehavi, Idit. Mon . "Linear point and sound horizon as purely geometric standard rulers". United States. doi:https://doi.org/10.1103/PhysRevD.101.083517. https://www.osti.gov/servlets/purl/1616506.
@article{osti_1616506,
title = {Linear point and sound horizon as purely geometric standard rulers},
author = {O’Dwyer, Márcio and Anselmi, Stefano and Starkman, Glenn D. and Corasaniti, Pier-Stefano and Sheth, Ravi K. and Zehavi, Idit},
abstractNote = {The baryon acoustic oscillations feature (BAO) imprinted in the clustering correlation function is known to furnish us cosmic distance determinations that are independent of the cosmological-background model and the primordial perturbation parameters. These measurements can be accomplished rigorously by means of the purely geometric BAO methods. To date two different purely geometric BAO approaches have been proposed. The first exploits the linear-point standard ruler. The second, called correlation-function model-fitting, exploits the sound-horizon standard ruler. A key difference between them is that, when estimated from clustering data, the linear point makes use of a cosmological-model-independent procedure to extract the ratio of the ruler to the cosmic distance, while the correlation-function model-fitting relies on a phenomenological cosmological model for the correlation function. Nevertheless the two rulers need to be precisely defined independently of any specific observable (e.g., the BAO). We define the linear point and sound horizon and we fully characterize and compare the two rulers’ cosmological-parameter dependence. We find that they are both geometrical (i.e., independent of the primordial cosmological parameters) within the required accuracy, and that they have the same parameter dependence for a wide range of parameter values. We estimate the rulers’ best-fit values and errors, given the cosmological constraints obtained by the Planck Satellite team from their measurements of the cosmic microwave background temperature and polarization anisotropies. We do this for three different cosmological models encompassed by the purely geometric BAO methods. In each case we find that the relative errors of the two rulers coincide and they are insensitive to the assumed cosmological model. Interestingly both the linear point and the sound horizon shift by 0.5σ when we do not fix the spatial geometry to be flat in Λ CDM. Finally, this points toward a sensitivity of the rulers to different cosmological models when they are estimated from the cosmic microwave background.},
doi = {10.1103/PhysRevD.101.083517},
journal = {Physical Review D},
number = 8,
volume = 101,
place = {United States},
year = {2020},
month = {4}
}

Works referenced in this record:

Detection of the Baryon Acoustic Peak in the Large‐Scale Correlation Function of SDSS Luminous Red Galaxies
journal, November 2005

  • Eisenstein, Daniel J.; Zehavi, Idit; Hogg, David W.
  • The Astrophysical Journal, Vol. 633, Issue 2
  • DOI: 10.1086/466512

Early cosmology constrained
journal, April 2017

  • Verde, Licia; Bellini, Emilio; Pigozzo, Cassio
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 04
  • DOI: 10.1088/1475-7516/2017/04/023

Motion of the acoustic peak in the correlation function
journal, February 2008


What is the best way to measure baryonic acoustic oscillations?
journal, October 2008


Accuracy of cosmological parameters using the baryon acoustic scale
journal, January 2015


Planck 2015 results : XIII. Cosmological parameters
journal, September 2016


Nonlinear Structure Formation and the Acoustic Scale
journal, October 2008

  • Seo, Hee‐Jong; Siegel, Ethan R.; Eisenstein, Daniel J.
  • The Astrophysical Journal, Vol. 686, Issue 1
  • DOI: 10.1086/589921

A 2 per cent distance to z = 0.35 by reconstructing baryon acoustic oscillations – II. Fitting techniques : A 2 per cent distance to z = 0.35
journal, November 2012

  • Xu, Xiaoying; Padmanabhan, Nikhil; Eisenstein, Daniel J.
  • Monthly Notices of the Royal Astronomical Society, Vol. 427, Issue 3
  • DOI: 10.1111/j.1365-2966.2012.21573.x

The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: baryon acoustic oscillations in the Data Releases 10 and 11 Galaxy samples
journal, April 2014

  • Anderson, Lauren; Aubourg, Éric; Bailey, Stephen
  • Monthly Notices of the Royal Astronomical Society, Vol. 441, Issue 1
  • DOI: 10.1093/mnras/stu523

Perturbation theory challenge for cosmological parameters estimation: Matter power spectrum in real space
journal, March 2019


Beating non-linearities: improving the baryon acoustic oscillations with the linear point
journal, November 2015

  • Anselmi, Stefano; Starkman, Glenn D.; Sheth, Ravi K.
  • Monthly Notices of the Royal Astronomical Society, Vol. 455, Issue 3
  • DOI: 10.1093/mnras/stv2436

Galaxy Correlation Functions Provide a More Robust Cosmological Standard Ruler
journal, July 2018


Linear point standard ruler for galaxy survey data: Validation with mock catalogs
journal, July 2018

  • Anselmi, Stefano; Corasaniti, Pier-Stefano; Starkman, Glenn D.
  • Physical Review D, Vol. 98, Issue 2
  • DOI: 10.1103/PhysRevD.98.023527

Cosmological implications of baryon acoustic oscillation measurements
journal, December 2015


Nonlinear effects of dark energy clustering beyond the acoustic scales
journal, July 2014

  • Anselmi, Stefano; Nacir, Diana López; Sefusatti, Emiliano
  • Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 07
  • DOI: 10.1088/1475-7516/2014/07/013

Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics beyond ΛCDM
journal, May 2019

  • Riess, Adam G.; Casertano, Stefano; Yuan, Wenlong
  • The Astrophysical Journal, Vol. 876, Issue 1
  • DOI: 10.3847/1538-4357/ab1422

Tensions between the early and late Universe
journal, September 2019


The BAO+BBN take on the Hubble tension
journal, October 2019

  • Schöneberg, Nils; Lesgourgues, Julien; Hooper, Deanna C.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 10
  • DOI: 10.1088/1475-7516/2019/10/029

Efficient Computation of Cosmic Microwave Background Anisotropies in Closed Friedmann‐Robertson‐Walker Models
journal, August 2000

  • Lewis, Antony; Challinor, Anthony; Lasenby, Anthony
  • The Astrophysical Journal, Vol. 538, Issue 2
  • DOI: 10.1086/309179

Small‐Scale Cosmological Perturbations: An Analytic Approach
journal, November 1996

  • Hu, Wayne; Sugiyama, Naoshi
  • The Astrophysical Journal, Vol. 471, Issue 2
  • DOI: 10.1086/177989

Sounds Discordant: Classical Distance Ladder and ΛCDM-based Determinations of the Cosmological Sound Horizon
journal, March 2019


Marginal evidence for cosmic acceleration from Type Ia supernovae
journal, October 2016

  • Nielsen, J. T.; Guffanti, A.; Sarkar, S.
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep35596

DEMNUni: the clustering of large-scale structures in the presence of massive neutrinos
journal, July 2015

  • Castorina, Emanuele; Carbone, Carmelita; Bel, Julien
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 07
  • DOI: 10.1088/1475-7516/2015/07/043

DEMNUni: ISW, Rees-Sciama, and weak-lensing in the presence of massive neutrinos
journal, July 2016

  • Carbone, Carmelita; Petkova, Margarita; Dolag, Klaus
  • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 07
  • DOI: 10.1088/1475-7516/2016/07/034

The effect of massive neutrinos on the BAO peak
journal, July 2015

  • Peloso, Marco; Pietroni, Massimo; Viel, Matteo
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 07
  • DOI: 10.1088/1475-7516/2015/07/001