The large-scale three-point correlation function of the SDSS BOSS DR12 CMASS galaxies

Zachary Slepian, Daniel J. Eisenstein, Florian Beutler, Chia Hsun Chuang, Antonio J. Cuesta, Jian Ge, Héctor Gil-Marín, Shirley Ho, Francisco Shu Kitaura, Cameron K. McBride, Robert C. Nichol, Will J. Percival, Sergio Rodríguez-Torres, Ashley J. Ross, Román Scoccimarro, Hee Jong Seo, Jeremy Tinker, Rita Tojeiro, Mariana Vargas-Magaña

    Research output: Contribution to journalArticlepeer-review


    We report a measurement of the large-scale three-point correlation function of galaxies using the largest data set for this purpose to date, 777 202 luminous red galaxies in the Sloan Digital Sky Survey Baryon Acoustic Oscillation Spectroscopic Survey (SDSS BOSS) DR12 CMASS sample. This work exploits the novel algorithm of Slepian & Eisenstein to compute the multipole moments of the 3PCF in O(N2) time, with N the number of galaxies. Leadingorder perturbation theory models the data well in a compressed basis where one triangle side is integrated out. We also present an accurate and computationally efficient means of estimating the covariance matrix. With these techniques, the redshift-space linear and non-linear bias are measured, with 2.6 per cent precision on the former if σ8 is fixed. The data also indicate a 2.8s preference for the BAO, confirming the presence of BAO in the three-point function.

    Original languageEnglish (US)
    Pages (from-to)1070-1083
    Number of pages14
    JournalMonthly Notices of the Royal Astronomical Society
    Issue number1
    StatePublished - Jun 11 2017


    • Cosmology
    • Distance scale
    • Large-scale structure of universe
    • Observations

    ASJC Scopus subject areas

    • Astronomy and Astrophysics
    • Space and Planetary Science


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