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, ξp 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 p<1.1 over a footprint of 4108 deg2. Our theory modeling includes the impact of realistic true redshift distributions beyond Gaussian photo-z approximation. ξp 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. ξp is sensitive to DM(zeff)/rs, the ratio between the comoving angular diameter distance and the sound horizon. Using the full sample, DM(zeff)/rs is constrained to be 19.00 ±0.67 (top-hat) and 19.15 ±0.58 (Gaussian) at zeff=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 ξp responds to the heterogeneous signals by enlarging the error bar, w can still give a tight bound on DM/rs in this case. When a homogeneous BAO-signal subsample in the range 0.7 p<1.0 (zeff=0.845 ) is considered, ξp 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 ξp results are more sensitive to photo-z errors than w because ξp 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. ξp and the angular statistics such as w have their own pros and cons, and they serve an important crosscheck with each other....

Dark Energy Survey Year 3 results: Measurement of the baryon acoustic oscillations with three-dimensional clustering / Chan, K. C.; Avila, S.; Carnero Rosell, A.; Ferrero, I.; Elvin-Poole, J.; Sanchez, E.; Camacho, H.; Porredon, A.; Crocce, M.; Abbott, T. M. C.; Aguena, M.; Allam, S.; Andrade-Oliveira, F.; Bertin, E.; Bocquet, S.; Brooks, D.; Burke, D. L.; Carrasco Kind, M.; Carretero, J.; Castander, F. J.; Cawthon, R.; Conselice, C.; Costanzi, M.; Pereira, M. E. S.; De Vicente, J.; Desai, S.; Diehl, H. T.; Doel, P.; Everett, S.; Flaugher, B.; Fosalba, P.; García-Bellido, J.; Gaztanaga, E.; Gerdes, D. W.; Giannantonio, T.; Gruen, D.; Gruendl, R. A.; Gutierrez, G.; Hinton, S. R.; Hollowood, D. L.; Honscheid, K.; Huterer, D.; James, D. J.; Kuehn, K.; Lahav, O.; Lidman, C.; Lima, M.; Marshall, J. L.; Mena-Fernández, J.; Menanteau, F.; Miquel, R.; Palmese, A.; Paz-Chinchón, F.; Pieres, A.; Plazas Malagón, A. A.; Raveri, M.; Rodriguez-Monroy, M.; Roodman, A.; Ross, A. J.; Scarpine, V.; Sevilla-Noarbe, I.; Smith, M.; Suchyta, E.; Swanson, M. E. C.; Tarle, G.; Thomas, D.; Tucker, D. L.; Vincenzi, M.; Weaverdyck, N.; Des, Collaboration. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - 106:12(2022), pp. 123502."-"-123502."-". [10.1103/PhysRevD.106.123502]

Dark Energy Survey Year 3 results: Measurement of the baryon acoustic oscillations with three-dimensional clustering

Costanzi, M.;
2022-01-01

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, ξp 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 p<1.1 over a footprint of 4108 deg2. Our theory modeling includes the impact of realistic true redshift distributions beyond Gaussian photo-z approximation. ξp 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. ξp is sensitive to DM(zeff)/rs, the ratio between the comoving angular diameter distance and the sound horizon. Using the full sample, DM(zeff)/rs is constrained to be 19.00 ±0.67 (top-hat) and 19.15 ±0.58 (Gaussian) at zeff=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 ξp responds to the heterogeneous signals by enlarging the error bar, w can still give a tight bound on DM/rs in this case. When a homogeneous BAO-signal subsample in the range 0.7 p<1.0 (zeff=0.845 ) is considered, ξp 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 ξp results are more sensitive to photo-z errors than w because ξp 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. ξp and the angular statistics such as w have their own pros and cons, and they serve an important crosscheck with each other....
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