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Measuring Baryon Acoustic Oscillations with Angular Two-Point Correlation Function

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Gravity and the Quantum

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 187))

Abstract

The Baryon Acoustic Oscillations (BAO) imprinted a characteristic correlation length in the large-scale structure of the universe that can be used as a standard ruler for mapping out the cosmic expansion history. Here, we discuss the application of the angular two-point correlation function, \(w(\theta )\), to a sample of luminous red galaxies of the Sloan Digital Sky Survey (SDSS) and derive two new measurements of the BAO angular scale at \(z = 0.235\) and \(z = 0.365\). Since noise and systematics may hinder the identification of the BAO signature in the \(w - \theta \) plane, we also introduce a potential new method to localize the acoustic bump in a model-independent way. We use these new measurements along with previous data to constrain cosmological parameters of dark energy models and to derive a new estimate of the acoustic scale \(r_s\).

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Notes

  1. 1.

    Only for comparison, the predictions of a flat \(\varLambda \)CDM cosmology, assuming \(\varOmega _m = 0.27\) and \( r_s=100\,\mathrm{{Mpc/h}}\), are \(\theta _\mathrm{{BAO}}(0.235) = 8.56^{\circ }\) and \(\theta _\mathrm{{BAO}}(0.365) = 5.68^{\circ }\).

  2. 2.

    For narrow redshift shells, such as the ones considered in this analysis (\(\delta z \sim 10^{-2}\)), it can be shown that the correction factor depends weakly on the cosmological model adopted (see Fig. 3 of [23]).

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Acknowledgements

Jailson S. Alcaniz dedicates this contribution to Prof. T. Padmanabhan with affection and profound admiration. May he continue to inspire us with new ideas about the Universe. Happy 60th birthday, Paddy!

The authors acknowledge support from the Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) e Fundação Carlos Chagas de Amparo à Pesquisa do Estado do Rio de Janeiro (FAPERJ). Joel C. Carvalho is also supported by the DTI-PCI/Observatório Nacional program of the Brazilian Ministry of Science, Technology and Innovation (MCTI).

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Authors and Affiliations

  1. Coordenação de Astronomia & Astrofísica, Observatório Nacional, 20921-400, Rio de Janeiro – RJ, Brazil

    Jailson S. Alcaniz, Gabriela C. Carvalho, Armando Bernui, Joel C. Carvalho & Micol Benetti

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  1. Jailson S. Alcaniz
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  2. Gabriela C. Carvalho
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  3. Armando Bernui
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  4. Joel C. Carvalho
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  5. Micol Benetti
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Correspondence to Jailson S. Alcaniz .

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Editors and Affiliations

  1. Department of Physical Sciences, IISER Mohali, Mohali, Punjab, India

    Jasjeet Singh Bagla

  2. Ryussi Technologies Pvt. Ltd., Pune, India

    Sunu Engineer

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Alcaniz, J.S., Carvalho, G.C., Bernui, A., Carvalho, J.C., Benetti, M. (2017). Measuring Baryon Acoustic Oscillations with Angular Two-Point Correlation Function. In: Bagla, J., Engineer, S. (eds) Gravity and the Quantum. Fundamental Theories of Physics, vol 187. Springer, Cham. https://doi.org/10.1007/978-3-319-51700-1_2

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