## Abstract

The three-dimensional correlation function offers an effective way to summarize the correlation of the large-scale structure even for imaging galaxy surveys. We have applied the projected three-dimensional correlation function, ζ_{p} to measure the baryonic acoustic oscillations (BAO) scale on the first-three years Dark Energy Survey data. The sample consists of about 7 million galaxies in the redshift range 0.6< z_{p }<1.1 over a footprint of 4108 deg^{2}. Our theory modeling includes the impact of realistic true redshift distributions beyond Gaussian photo-z approximation. ζ_{p} is obtained by projecting the three-dimensional correlation to the transverse direction. To increase the signal-to-noise of the measurements, we have considered a Gaussian stacking window function in place of the commonly used top-hat. ζ_{p} is sensitive to DM(z_{eff})/rs, the ratio between the comoving angular diameter distance and the sound horizon. Using the full sample, DM(z_{eff})/rs is constrained to be 19.00±0.67 (top-hat) and 19.15±0.58 (Gaussian) at z_{eff}=0.835. The constraint is weaker than the angular correlation w constraint (18.84±0.50), and we trace this to the fact that the BAO signals are heterogeneous across redshift. While ζ_{p} responds to the heterogeneous signals by enlarging the error bar, w can still give a tight bound on DM/r_{s} in this case. When a homogeneous BAO-signal subsample in the range 0.7< z_{p }<1.0 (z_{eff}=0.845) is considered, ζ_{p} yields 19.80±0.67 (top-hat) and 19.84±0.53 (Gaussian). The latter is mildly stronger than the w constraint (19.86±0.55). We find that the ζ_{p} results are more sensitive to photo-z errors than w because ζ_{p} keeps the three-dimensional clustering information causing it to be more prone to photo-z noise. The Gaussian window gives more robust results than the top-hat as the former is designed to suppress the low signal modes. ζ_{p} and the angular statistics such as w have their own pros and cons, and they serve an important crosscheck with each other.

Original language | English |
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Article number | 123502 |

Pages (from-to) | 1-21 |

Number of pages | 21 |

Journal | Physical Review D |

Volume | 106 |

Issue number | 12 |

Early online date | 8 Dec 2022 |

DOIs | |

Publication status | Published - 15 Dec 2022 |

### Bibliographical note

Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.Citation: K. C. Chan, et al. (DES Collaboration), Dark Energy Survey Year 3 results: Measurement of the baryon acoustic oscillations with three-dimensional clustering, Physical Review D, 106(12), 123502, 2022.