# Galaxy Correlation Functions Provide a More Robust Cosmological Standard Ruler

Abstract : We show how a characteristic length scale imprinted in the galaxy two-point correlation function, dubbed the "linear point", can serve as a comoving cosmological standard ruler. In contrast to the Baryon Acoustic Oscillation peak location, this scale is constant in redshift and is unaffected by non-linear effects to within $0.5$ percent precision. We measure the location of the linear point in the galaxy correlation function of the LOWZ and CMASS samples from the Twelfth Data Release (DR12) of the Baryon Oscillation Spectroscopic Survey (BOSS) collaboration. We combine our linear-point measurement with cosmic-microwave-background constraints from the Planck satellite to estimate the isotropic-volume distance $D_{V}(z)$, without relying on a model-template or reconstruction method. We find $D_V(0.32)=1264\pm 28$ Mpc and $D_V(0.57)=2056\pm 22$ Mpc respectively, consistent with the quoted values from the BOSS collaboration. This remarkable result suggests that all the distance information contained in the baryon acoustic oscillations can be conveniently compressed into the single length associated with the linear point.
Document type :
Journal articles

https://hal.archives-ouvertes.fr/hal-02340300
Contributor : Pier Stefano Corasaniti <>
Submitted on : Wednesday, October 30, 2019 - 5:35:14 PM
Last modification on : Wednesday, September 23, 2020 - 4:40:17 AM

### Citation

Stefano Anselmi, Glenn D. Starkman, Pier-Stefano Corasaniti, Ravi K. Sheth, Idit Zehavi, et al.. Galaxy Correlation Functions Provide a More Robust Cosmological Standard Ruler. Physical Review Letters, American Physical Society, 2018, 121 (2), ⟨10.1103/PhysRevLett.121.021302⟩. ⟨hal-02340300⟩

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