Full-Shape analysis of the power spectrum and bispectrum of DESI DR1 LRG and QSO samples
S. Novell-Masot, H. Gil-Mar’in, L. Verde, J. Aguilar, S. Ahlen, S. Bailey, S. BenZvi, D. Bianchi, D. Brooks, E. Buckley-Geer, A. Carnero Rosell, E. Chaussidon, T. Claybaugh, S. Cole, A. Cuceu, K. S. Dawson, A. de la Macorra, R. Demina, A. Dey, B. Dey, P. Doel, S. Ferraro, A. Font-Ribera, J. E. Forero-Romero, E. Gazta~naga, S. Gontcho A Gontcho, A. X. Gonzalez-Morales, G. Gutierrez, H. K. Herrera-Alcantar, K. Honscheid, C. Howlett, S. Juneau, R. Kehoe, D. Kirkby, T. Kisner, A. Kremin, C. Lamman, M. Landriau, L. Le Guillou, M. E. Levi, C. Magneville, M. Manera, A. Meisner, R. Miquel, J. Moustakas, A. Mu~noz-Guti’errez, A. D. Myers, S. Nadathur, G. Niz, H. E. Noriega, W. J. Percival, C. Poppett, F. Prada, I. P’erez-R`afols, A. J. Ross, G. Rossi, L. Samushia, E. Sanchez, D. Schlegel, M. Schubnell, H. Seo, J. Silber, D. Sprayberry, G. Tarl’e, M. Vargas-Maga~na, B. A. Weaver, P. Zarrouk, R. Zhou, H. Zou
arXiv:2503.09714v2 Announce Type: replace
Abstract: We present the first joint analysis of the power spectrum and bispectrum using the Data Release 1 (DR1) of the Dark Energy Spectroscopic Instrument (DESI), focusing on Luminous Red Galaxies (LRGs) and quasars (QSOs) across a redshift range of $0.4leq zleq2.1$. By combining the two- and three-point statistics, we are able to partially break the degeneracy between the logarithmic growth rate, $f(z)$, and the amplitude of dark matter fluctuations, $sigma_textrm{s8}(z)$, which cannot be measured separately in analyses that only involve the power spectrum. In comparison with the (fiducial) Planck $Lambda$CDM cosmology we obtain $f/f^textrm{fid}={0.888_{-0.089}^{+0.186},0.977_{-0.220}^{+0.182},1.030_{-0.085}^{+0.368}}$, $sigma_{s8}/sigma^textrm{fid}_textrm{s8}={1.224_{-0.133}^{+0.091},1.071_{-0.163}^{+0.278},1.000_{-0.223}^{+0.088}}$ respectively for the three LRG redshift bins, corresponding to a cumulative 10.1% constraint on $f$, and of 8.4% on $sigma_textrm{s8}$, including the systematic error budget. The cumulative constraints for the ShapeFit compressed parameters from our joint power spectrum-bispectrum analysis are respectively $sigma_{alpha_textrm{iso}}=0.9%$ (9% improvement with respect to our power spectrum-only analysis); $sigma_{alpha_textrm{AP}}=2.3%$ (no improvement with respect to power spectrum-only analysis, which is expected given that the bispectrum monopole has no significant anisotropic signal); $sigma_{fsigma_textrm{s8}}=5.1%$ (9% improvement); $sigma_{m+n}=2.3%$ (11% improvement). These results are fully consistent with the main DESI power spectrum analysis, demonstrating the robustness of the DESI cosmological constraints, and compatible with Planck $Lambda$CDM cosmology.arXiv:2503.09714v2 Announce Type: replace
Abstract: We present the first joint analysis of the power spectrum and bispectrum using the Data Release 1 (DR1) of the Dark Energy Spectroscopic Instrument (DESI), focusing on Luminous Red Galaxies (LRGs) and quasars (QSOs) across a redshift range of $0.4leq zleq2.1$. By combining the two- and three-point statistics, we are able to partially break the degeneracy between the logarithmic growth rate, $f(z)$, and the amplitude of dark matter fluctuations, $sigma_textrm{s8}(z)$, which cannot be measured separately in analyses that only involve the power spectrum. In comparison with the (fiducial) Planck $Lambda$CDM cosmology we obtain $f/f^textrm{fid}={0.888_{-0.089}^{+0.186},0.977_{-0.220}^{+0.182},1.030_{-0.085}^{+0.368}}$, $sigma_{s8}/sigma^textrm{fid}_textrm{s8}={1.224_{-0.133}^{+0.091},1.071_{-0.163}^{+0.278},1.000_{-0.223}^{+0.088}}$ respectively for the three LRG redshift bins, corresponding to a cumulative 10.1% constraint on $f$, and of 8.4% on $sigma_textrm{s8}$, including the systematic error budget. The cumulative constraints for the ShapeFit compressed parameters from our joint power spectrum-bispectrum analysis are respectively $sigma_{alpha_textrm{iso}}=0.9%$ (9% improvement with respect to our power spectrum-only analysis); $sigma_{alpha_textrm{AP}}=2.3%$ (no improvement with respect to power spectrum-only analysis, which is expected given that the bispectrum monopole has no significant anisotropic signal); $sigma_{fsigma_textrm{s8}}=5.1%$ (9% improvement); $sigma_{m+n}=2.3%$ (11% improvement). These results are fully consistent with the main DESI power spectrum analysis, demonstrating the robustness of the DESI cosmological constraints, and compatible with Planck $Lambda$CDM cosmology.

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