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Reanalyzing DESI DR1. I. constraints from the power spectrum and bispectrum
Phys. Rev. D 113, 063502 – Published 2 March, 2026
DOI: https://doi.org/10.1103/qsnt-dppc
Abstract
We present the first independent reanalysis of the galaxy clustering data from DESI Data Release 1, utilizing an effective field theory full-shape model. We analyze the power spectra and bispectra of the public catalogs using a custom-built pipeline based on window-deconvolved quasioptimal estimators, accounting for a number of systematic effects. Compared to the official collaboration analysis, we add the galaxy power spectrum hexadecapole and the bispectrum monopole, and also introduce a novel stochastic estimator for fiber collisions, which facilitates robust bispectrum analyses. As a first application, we perform a full-shape analysis of the DESI power spectra and bispectra in the context of the standard cosmological model, cold dark matter (). Using external priors on the physical baryon density and the primordial power spectrum tilt, we constrain the matter density fraction to , the Hubble constant to , and the mass fluctuation amplitude to . The bispectrum sharpens constraints on and by and shifts by toward the Planck value. Combining our full-shape likelihood with the official DESI DR2 baryon acoustic oscillation (BAO) measurements, cosmological parameters shift further toward the Planck values, with , , (with tighter constraints obtained in joint analyses). Similar results are obtained in a joint analysis with DR1 BAO, accounting for the cross-covariance. Finally, the bispectrum data improves measurements of quadratic bias parameters, which are consistent with predictions from halo occupation distribution models. Our work highlights the importance of higher-order statistics and sets the stage for upcoming full-shape analyses of nonminimal cosmological models.
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References (207)
- V. de Lapparent, M. J. Geller, and J. P. Huchra, Astrophys. J. Lett. 302, L1 (1986).
- M. J. Geller and J. P. Huchra, Science 246, 897 (1989).
- P. J. Peebles, The Large-Scale Structure of the Universe (Princeton University Press, Princeton, 1980), https://inspirehep.net/literature/2679454.
- M. Davis, M. J. Geller, and J. Huchra, Astrophys. J. 221, 1 (1978).
- M. Davis, G. Efstathiou, C. S. Frenk, and S. D. M. White, Astrophys. J. 292, 371 (1985).
- A. G. Riess, A. V. Filippenko, P. Challis, A. Clocchiatti, A. Diercks, P. M. Garnavich, R. L. Gilliland, C. J. Hogan, S. Jha, R. P. Kirshner et al., Astron. J. 116, 1009 (1998).
- S. Perlmutter et al. (The Supernova Cosmology Project), Astrophys. J. 517, 565 (1999).
- O. H. E. Philcox, B. D. Sherwin, G. S. Farren, and E. J. Baxter, Phys. Rev. D 103, 023538 (2021).
- O. H. E. Philcox, G. S. Farren, B. D. Sherwin, E. J. Baxter, and D. J. Brout, Phys. Rev. D 106, 063530 (2022).
- E. A. Zaborowski et al., J. Cosmol. Astropart. Phys. 06 (2025) 020.
- B. Bahr-Kalus et al. (DESI Collaboration), Phys. Rev. D 112, 063553 (2025).
- D. J. Eisenstein and W. Hu, Astrophys. J. 496, 605 (1998).
- D. J. Eisenstein, H.-j. Seo, E. Sirko, and D. Spergel, Astrophys. J. 664, 675 (2007).
- S. Cole et al. (2dFGRS Collaboration), Mon. Not. R. Astron. Soc. 362, 505 (2005).
- D. J. Eisenstein et al., Astrophys. J. 633, 560 (2005).
- W. J. Percival et al., Mon. Not. R. Astron. Soc. 401, 2148 (2009).
- B. A. Reid et al., Mon. Not. R. Astron. Soc. 426, 2719 (2012).
- N. Padmanabhan, X. Xu, D. J. Eisenstein, R. Scalzo, A. J. Cuesta, K. T. Mehta, and E. Kazin, Mon. Not. R. Astron. Soc. 427, 2132 (2012).
- S. Alam et al. (BOSS Collaboration), Mon. Not. R. Astron. Soc. 470, 2617 (2017).
- N. Aghanim et al. (Planck Collaboration), Astron. Astrophys. 641, A6 (2020).
- F. Beutler et al. (BOSS Collaboration), Mon. Not. R. Astron. Soc. 466, 2242 (2017).
- H. Gil-Marín, J. Noreña, L. Verde, W. J. Percival, C. Wagner, M. Manera, and D. P. Schneider, Mon. Not. R. Astron. Soc. 451, 539 (2015).
- H. Guo, Z. Zheng, I. Zehavi, K. Dawson, R. A. Skibba, J. L. Tinker, D. H. Weinberg, M. White, and D. P. Schneider (BOSS Collaboration), Mon. Not. R. Astron. Soc. 446, 578 (2015).
- A. Obuljen, W. J. Percival, and N. Dalal, J. Cosmol. Astropart. Phys. 10 (2020) 058.
- Z. Slepian et al., Mon. Not. R. Astron. Soc. 468, 1070 (2017).
- H. Gil-Marín, W. J. Percival, L. Verde, J. R. Brownstein, C.-H. Chuang, F.-S. Kitaura, S. A. Rodríguez-Torres, and M. D. Olmstead, Mon. Not. R. Astron. Soc. 465, 1757 (2017).
- H. Gil-Marín, C. Wagner, J. Noreña, L. Verde, and W. Percival, J. Cosmol. Astropart. Phys. 12 (2014) 029.
- H. Gil-Marín, L. Verde, J. Noreña, A. J. Cuesta, L. Samushia, W. J. Percival, C. Wagner, M. Manera, and D. P. Schneider, Mon. Not. R. Astron. Soc. 452, 1914 (2015).
- A. de Mattia et al. (eBOSS Collaboration), Mon. Not. R. Astron. Soc. 501, 5616 (2021).
- F. Beutler et al. (BOSS Collaboration), Mon. Not. R. Astron. Soc. 443, 1065 (2014).
- F. Beutler et al. (BOSS Collaboration), Mon. Not. R. Astron. Soc. 444, 3501 (2014).
- A. J. Ross et al. (BOSS Collaboration), Mon. Not. R. Astron. Soc. 428, 1116 (2013).
- M. M. Ivanov, M. Simonović, and M. Zaldarriaga, J. Cosmol. Astropart. Phys. 05 (2020) 042.
- G. D’Amico, J. Gleyzes, N. Kokron, D. Markovic, L. Senatore, P. Zhang, F. Beutler, and H. Gil-Marín, J. Cosmol. Astropart. Phys. 05 (2020) 005.
- S.-F. Chen, Z. Vlah, and M. White, J. Cosmol. Astropart. Phys. 02 (2022) 008.
- Z. Vlah, U. Seljak, M. Y. Chu, and Y. Feng, J. Cosmol. Astropart. Phys. 03 (2016) 057.
- E. Pajer and M. Zaldarriaga, J. Cosmol. Astropart. Phys. 08 (2013) 037.
- J. J. M. Carrasco, M. P. Hertzberg, and L. Senatore, J. High Energy Phys. 09 (2012) 082.
- L. Mercolli and E. Pajer, J. Cosmol. Astropart. Phys. 03 (2014) 006.
- R. A. Porto, L. Senatore, and M. Zaldarriaga, J. Cosmol. Astropart. Phys. 05 (2014) 022.
- Z. Vlah, M. White, and A. Aviles, J. Cosmol. Astropart. Phys. 09 (2015) 014.
- L. Senatore and M. Zaldarriaga, J. Cosmol. Astropart. Phys. 02 (2015) 013.
- L. Senatore and M. Zaldarriaga, arXiv:1409.1225.
- L. Senatore, J. Cosmol. Astropart. Phys. 11 (2015) 007.
- R. Angulo, M. Fasiello, L. Senatore, and Z. Vlah, J. Cosmol. Astropart. Phys. 09 (2015) 029.
- L. Senatore and M. Zaldarriaga, arXiv:1707.04698.
- D. Baumann, A. Nicolis, L. Senatore, and M. Zaldarriaga, J. Cosmol. Astropart. Phys. 07 (2012) 051.
- V. Assassi, D. Baumann, D. Green, and M. Zaldarriaga, J. Cosmol. Astropart. Phys. 08 (2014) 056.
- V. Assassi, D. Baumann, E. Pajer, Y. Welling, and D. van der Woude, J. Cosmol. Astropart. Phys. 11 (2015) 024.
- S.-F. Chen, Z. Vlah, E. Castorina, and M. White, J. Cosmol. Astropart. Phys. 03 (2021) 100.
- D. Blas, M. Garny, M. M. Ivanov, and S. Sibiryakov, J. Cosmol. Astropart. Phys. 07 (2016) 052.
- D. Blas, M. Garny, M. M. Ivanov, and S. Sibiryakov, J. Cosmol. Astropart. Phys. 07 (2016) 028.
- P. McDonald, Phys. Rev. D 74, 103512 (2006); 74, 129901(E) (2006).
- P. McDonald and A. Roy, J. Cosmol. Astropart. Phys. 08 (2009) 020.
- N. Agarwal, V. Desjacques, D. Jeong, and F. Schmidt, J. Cosmol. Astropart. Phys. 03 (2021) 021.
- H. Rubira and F. Schmidt, J. Cosmol. Astropart. Phys. 01 (2024) 031.
- D. Rubin et al., Astrophys. J. 986, 231 (2025).
- A. Moradinezhad Dizgah, M. Biagetti, E. Sefusatti, V. Desjacques, and J. Noreña, J. Cosmol. Astropart. Phys. 05 (2021) 015.
- V. Desjacques, D. Jeong, and F. Schmidt, J. Cosmol. Astropart. Phys. 12 (2018) 035.
- V. Desjacques, D. Jeong, and F. Schmidt, Phys. Rep. 733, 1 (2018).
- M. Mirbabayi, F. Schmidt, and M. Zaldarriaga, J. Cosmol. Astropart. Phys. 07 (2015) 030.
- M. M. Ivanov, Effective field theory for large-scale structure, in Handbook of Quantum Gravity, edited by C. Bambi, L. Modesto, and I. Shapiro (Springer, Singapore, 2023).
- M. Ivanov, A. Chudaykin, M. Simonovic, O. H. E. Philcox, and G. Cabass, CLASS-PT: Nonlinear perturbation theory extension of the Boltzmann code CLASS, Astrophysics Source Code Library, record ascl:2403.015 (2024).
- G. D’Amico, L. Senatore, and P. Zhang, J. Cosmol. Astropart. Phys. 01 (2021) 006.
- S.-F. Chen, Z. Vlah, and M. White, J. Cosmol. Astropart. Phys. 07 (2020) 062.
- H. E. Noriega, A. Aviles, S. Fromenteau, and M. Vargas-Magaña, J. Cosmol. Astropart. Phys. 11 (2022) 038.
- C. Moretti, M. Tsedrik, P. Carrilho, and A. Pourtsidou, J. Cosmol. Astropart. Phys. 12 (2023) 025.
- D. Linde, A. Moradinezhad Dizgah, C. Radermacher, S. Casas, and J. Lesgourgues, J. Cosmol. Astropart. Phys. 07 (2024) 068.
- M. P. Ibáñez, R. E. Angulo, and J. A. Peacock, Mon. Not. R. Astron. Soc. 534, 3595 (2024).
- G. D’Amico, Y. Donath, M. Lewandowski, L. Senatore, and P. Zhang, J. Cosmol. Astropart. Phys. 05 (2024) 059.
- G. D’Amico, M. Lewandowski, L. Senatore, and P. Zhang, Phys. Rev. D 111, 063514 (2025).
- M. M. Ivanov, C. Cuesta-Lazaro, S. Mishra-Sharma, A. Obuljen, and M. W. Toomey, Phys. Rev. D 110, 063538 (2024).
- M. M. Ivanov, O. H. E. Philcox, G. Cabass, T. Nishimichi, M. Simonović, and M. Zaldarriaga, Phys. Rev. D 107, 083515 (2023).
- G. Cabass, O. H. E. Philcox, M. M. Ivanov, K. Akitsu, S.-F. Chen, M. Simonović, and M. Zaldarriaga, Phys. Rev. D 111, 063510 (2025).
- P. Zhang, G. D’Amico, L. Senatore, C. Zhao, and Y. Cai, J. Cosmol. Astropart. Phys. 02 (2022) 036.
- S.-F. Chen, M. White, J. DeRose, and N. Kokron, J. Cosmol. Astropart. Phys. 07 (2022) 041.
- G. Cabass, M. M. Ivanov, O. H. E. Philcox, M. Simonović, and M. Zaldarriaga, Phys. Rev. D 106, 043506 (2022).
- O. H. E. Philcox and M. M. Ivanov, Phys. Rev. D 105, 043517 (2022).
- E. B. Holm, L. Herold, T. Simon, E. G. M. Ferreira, S. Hannestad, V. Poulin, and T. Tram, Phys. Rev. D 108, 123514 (2023).
- D. Wadekar, M. M. Ivanov, and R. Scoccimarro, Phys. Rev. D 102, 123521 (2020).
- T. Colas, G. D’amico, L. Senatore, P. Zhang, and F. Beutler, J. Cosmol. Astropart. Phys. 06 (2020) 001.
- M. M. Ivanov, M. Simonović, and M. Zaldarriaga, Phys. Rev. D 101, 083504 (2020).
- S.-F. Chen, M. M. Ivanov, O. H. E. Philcox, and L. Wenzl, Phys. Rev. Lett. 133, 231001 (2024).
- A. He, R. An, M. M. Ivanov, and V. Gluscevic, Phys. Rev. D 109, 103527 (2024).
- A. He, M. M. Ivanov, R. An, and V. Gluscevic, Astrophys. J. Lett. 954, L8 (2023).
- W. L. Xu, J. B. Muñoz, and C. Dvorkin, Phys. Rev. D 105, 095029 (2022).
- A. Chudaykin and M. M. Ivanov, Phys. Rev. D 107, 043518 (2023).
- A. Chudaykin, K. Dolgikh, and M. M. Ivanov, Phys. Rev. D 103, 023507 (2021).
- M. Ishak et al., J. Cosmol. Astropart. Phys. 09 (2025) 053.
- W. Elbers et al. (DESI Collaboration), Phys. Rev. D 112, 083513 (2025).
- A. G. Adame et al. (DESI Collaboration), J. Cosmol. Astropart. Phys. 09 (2025 008).
- A. G. Adame et al. (DESI Collaboration), J. Cosmol. Astropart. Phys. 07 (2025) 028.
- A. Aghamousa et al. (DESI Collaboration), arXiv:1611.00036.
- R. Laureijs et al. (EUCLID Collaboration), arXiv:1110.3193.
- Z. Ivezić et al. (LSST Collaboration), Astrophys. J. 873, 111 (2019).
- D. Spergel et al., arXiv:1503.03757.
- A. G. Adame et al. (DESI Collaboration), J. Cosmol. Astropart. Phys. 04 (2025) 012.
- A. G. Adame et al. (DESI Collaboration), J. Cosmol. Astropart. Phys. 01 (2025) 124.
- A. G. Adame et al. (DESI Collaboration), J. Cosmol. Astropart. Phys. 02 (2025) 021.
- M. Abdul Karim et al. (DESI Collaboration), Phys. Rev. D 112, 083515 (2025).
- M. Abdul Karim et al. (DESI Collaboration), Phys. Rev. D 112, 083514 (2025).
- M. Maus et al., J. Cosmol. Astropart. Phys. 01 (2025) 138.
- M. Abdul Karim et al. (DESI Collaboration), arXiv:2503.14745.
- D. Forero-Sánchez et al., J. Cosmol. Astropart. Phys. 04 (2025) 055.
- E. Hivon, K. M. Gorski, C. Barth Netterfield, B. P. Crill, S. Prunet, and Frode Hansen, Astrophys. J. 567, 2 (2002).
- D. Alonso, J. Sanchez, and A. Slosar ( collaboration LSST Dark Energy Science Collaboration), Mon. Not. R. Astron. Soc. 484, 4127 (2019).
- N. Hand, Y. Li, Z. Slepian, and U. Seljak, J. Cosmol. Astropart. Phys. 07 (2017) 002.
- R. Scoccimarro, Phys. Rev. D 92, 083532 (2015).
- O. H. E. Philcox and T. Flöss, Phys. Rev. D 112, 063507 (2025).
- O. H. E. Philcox, Phys. Rev. D 103, 103504 (2021).
- O. H. E. Philcox, Phys. Rev. D 104, 123529 (2021).
- S. Novell Masot et al., J. Cosmol. Astropart. Phys. 06 (2025) 005.
- D. Bianchi et al., J. Cosmol. Astropart. Phys. 04 (2025) 074.
- M. Pinon et al., J. Cosmol. Astropart. Phys. 01 (2025) 131.
- A. G. Adame et al. (DESI Collaboration), J. Cosmol. Astropart. Phys. 07 (2025) 017.
- A. J. Rosado-Marín et al., J. Cosmol. Astropart. Phys. 07 (2025) 018.
- N. Hand, Y. Feng, F. Beutler, Y. Li, C. Modi, U. Seljak, and Z. Slepian, Astron. J. 156, 160 (2018).
- H. A. Feldman, N. Kaiser, and J. A. Peacock, Astrophys. J. 426, 23 (1994).
- O. H. E. Philcox, M. M. Ivanov, M. Simonović, and M. Zaldarriaga, J. Cosmol. Astropart. Phys. 05 (2020) 032.
- N. Aghanim and A. Zonca (Planck Collaboration), Astron. Astrophys. 641, A6 (2020).
- J. Carron, M. Mirmelstein, and A. Lewis, J. Cosmol. Astropart. Phys. 09 (2022) 039.
- M. S. Madhavacheril et al. (ACT Collaboration), Astrophys. J. 962, 113 (2024).
- F. J. Qu et al. (ACT Collaboration), Astrophys. J. 962, 112 (2024).
- N. Schöneberg, J. Cosmol. Astropart. Phys. 06 (2024) 006.
- A.-K. Burns, T. M. P. Tait, and M. Valli, Eur. Phys. J. C 84, 86 (2024).
- A. J. S. Hamilton, Lect. Notes Phys. 665, 415 (2008).
- A. J. S. Hamilton, Lect. Notes Phys. 665, 433 (2008).
- A. J. S. Hamilton and M. Tegmark, Mon. Not. R. Astron. Soc. 312, 285 (2000).
- M. Tegmark, A. J. S. Hamilton, M. A. Strauss, M. S. Vogeley, and A. S. Szalay, Astrophys. J. 499, 555 (1998).
- K. M. Smith, L. Senatore, and M. Zaldarriaga, arXiv:1502.00635.
- K. M. Smith and M. Zaldarriaga, Mon. Not. R. Astron. Soc. 417, 2 (2011).
- O. H. E. Philcox, Phys. Rev. D 107, 123516 (2023).
- O. H. E. Philcox, Phys. Rev. D 108, 063506 (2023).
- O. H. E. Philcox, Phys. Rev. D 111, 123532 (2025).
- F. Beutler and P. McDonald, J. Cosmol. Astropart. Phys. 11 (2021) 031.
- K. Yamamoto, M. Nakamichi, A. Kamino, B. A. Bassett, and H. Nishioka, Publ. Astron. Soc. Jpn. 58, 93 (2006).
- D. Bianchi, H. Gil-Marín, R. Ruggeri, and W. J. Percival, Mon. Not. R. Astron. Soc. 453, L11 (2015).
- L. Pinol, R. N. Cahn, N. Hand, U. Seljak, and M. White, J. Cosmol. Astropart. Phys. 04 (2017) 008.
- A. de Mattia and V. Ruhlmann-Kleider, J. Cosmol. Astropart. Phys. 08 (2019) 036.
- P. H. F. Reimberg, F. Bernardeau, and C. Pitrou, J. Cosmol. Astropart. Phys. 01 (2016) 048.
- E. Castorina and M. White, Mon. Not. R. Astron. Soc. 476, 4403 (2018).
- F. Beutler, E. Castorina, and P. Zhang, J. Cosmol. Astropart. Phys. 03 (2019) 040.
- H. Guo, I. Zehavi, and Z. Zheng, Astrophys. J. 756, 127 (2012).
- C. Hahn, R. Scoccimarro, M. R. Blanton, J. L. Tinker, and S. A. Rodríguez-Torres, Mon. Not. R. Astron. Soc. 467, 1940 (2017).
- D. Bianchi and W. J. Percival, Mon. Not. R. Astron. Soc. 472, 1106 (2017).
- D. Bianchi and L. Verde, Mon. Not. R. Astron. Soc. 495, 1511 (2020).
- A. Burden, N. Padmanabhan, R. N. Cahn, M. J. White, and L. Samushia, J. Cosmol. Astropart. Phys. 03 (2017) 001.
- F. Beutler et al. (BOSS Collaboration), Mon. Not. R. Astron. Soc. 466, 2242 (2017).
- O. H. E. Philcox, polybin3D: Binned polyspectrum estimation for 3D large-scale structure, Astrophysics Source Code Library, record ascl:2404.006 (2024).
- C. Garcia-Quintero et al. (DESI Collaboration), J. Cosmol. Astropart. Phys. 01 (2025) 132.
- D. Wadekar and R. Scoccimarro, Phys. Rev. D 102, 123517 (2020).
- A. Oddo, F. Rizzo, E. Sefusatti, C. Porciani, and P. Monaco, J. Cosmol. Astropart. Phys. 11 (2021) 038.
- M. Rashkovetskyi et al., J. Cosmol. Astropart. Phys. 01 (2025) 145.
- M. Biagetti, L. Castiblanco, J. Noreña, and E. Sefusatti, J. Cosmol. Astropart. Phys. 09 (2022) 009.
- J. Salvalaggio, L. Castiblanco, J. Noreña, E. Sefusatti, and P. Monaco, J. Cosmol. Astropart. Phys. 08 (2024) 046.
- A. Girard, Numer. Math. 56, 1 (1989).
- M. Hutchinson, Commun. Stat.- Simul. Comput. 19, 433 (1990).
- K. Pardede, F. Rizzo, M. Biagetti, E. Castorina, E. Sefusatti, and P. Monaco, J. Cosmol. Astropart. Phys. 10 (2022) 066.
- M. S. Wang et al., J. Cosmol. Astropart. Phys. 06 (2025) 031.
- M. M. Ivanov, O. H. E. Philcox, T. Nishimichi, M. Simonović, M. Takada, and M. Zaldarriaga, Phys. Rev. D 105, 063512 (2022).
- K. C. Chan and L. Blot, Phys. Rev. D 96, 023528 (2017).
- A. Barreira, J. Cosmol. Astropart. Phys. 03 (2019) 008.
- H. E. Noriega et al., J. Cosmol. Astropart. Phys. 01 (2025) 136.
- Y. Lai et al., J. Cosmol. Astropart. Phys. 01 (2025) 139.
- A. Chudaykin, M. M. Ivanov, O. H. E. Philcox, and M. Simonović, Phys. Rev. D 102, 063533 (2020).
- J. Lesgourgues, arXiv:1104.2932.
- D. Blas, J. Lesgourgues, and T. Tram, J. Cosmol. Astropart. Phys. 07 (2011) 034.
- M. Maus et al., J. Cosmol. Astropart. Phys. 01 (2025) 134.
- O. H. E. Philcox, M. M. Ivanov, G. Cabass, M. Simonović, M. Zaldarriaga, and T. Nishimichi, Phys. Rev. D 106, 043530 (2022).
- G. D’Amico, Y. Donath, M. Lewandowski, L. Senatore, and P. Zhang, J. Cosmol. Astropart. Phys. 07 (2024) 041.
- T. Bakx, M. M. Ivanov, O. H. E. Philcox, and Z. Vlah, arXiv:2507.22110.
- A. Chudaykin, M. M. Ivanov, and T. Nishimichi, arXiv:2410.16358.
- J. C. Jackson, Mon. Not. R. Astron. Soc. 156, 1P (1972).
- M. M. Ivanov, A. Obuljen, C. Cuesta-Lazaro, and M. W. Toomey, Phys. Rev. D 111, 063548 (2025).
- M. M. Ivanov and S. Sibiryakov, J. Cosmol. Astropart. Phys. 07 (2018) 053.
- L. Senatore and G. Trevisan, J. Cosmol. Astropart. Phys. 05 (2018) 019.
- C. Alcock and B. Paczynski, Nature (London) 281, 358 (1979).
- O. H. E. Philcox, M. M. Ivanov, M. Zaldarriaga, M. Simonovic, and M. Schmittfull, Phys. Rev. D 103, 043508 (2021).
- M. M. Ivanov et al., arXiv:2412.01888.
- J. M. Sullivan, C. Cuesta-Lazaro, M. M. Ivanov, Y. Ni, S. Bose, B. Hadzhiyska, C. Hernández-Aguayo, L. Hernquist, and R. Kannan, Phys. Rev. D 112, 083521 (2025).
- M. Tsedrik, P. Carrilho, and C. Moretti, arXiv:2509.09562.
- B. Audren, J. Lesgourgues, K. Benabed, and S. Prunet, J. Cosmol. Astropart. Phys. 02 (2013) 001.
- T. Brinckmann and J. Lesgourgues, Phys. Dark Universe 24, 100260 (2019).
- A. Lewis, J. Cosmol. Astropart. Phys. 08 (2025) 025.
- M. Tristram et al., Astron. Astrophys. 647, A128 (2021).
- M. Tristram et al., Astron. Astrophys. 682, A37 (2024).
- M. Maus et al., J. Cosmol. Astropart. Phys. 11 (2025) 077.
- T. Lazeyras, C. Wagner, T. Baldauf, and F. Schmidt, J. Cosmol. Astropart. Phys. 02 (2016) 018.
- H. Zhang, M. Bonici, G. D’Amico, S. Paradiso, and W. J. Percival, J. Cosmol. Astropart. Phys. 04 (2025) 041.
- F. Villaescusa-Navarro et al., Astrophys. J. Suppl. Ser. 250, 2 (2020).
- K. Akitsu, arXiv:2410.08998.
- M. M. Ivanov, arXiv:2503.07270.
- A. Chudaykin, M. M. Ivanov, and M. Simonović, Phys. Rev. D 103, 043525 (2021).
- M. M. Ivanov, Phys. Rev. D 104, 103514 (2021).
- T. Nishimichi, G. D’Amico, M. M. Ivanov, L. Senatore, M. Simonović, M. Takada, M. Zaldarriaga, and P. Zhang, Phys. Rev. D 102, 123541 (2020).
- E. Krause et al. (Beyond-2pt Collaboration), Astrophys. J. 990, 99 (2025).
- S. Paradiso, M. Bonici, M. Chen, W. J. Percival, G. D’Amico, H. Zhang, and G. McGee, J. Cosmol. Astropart. Phys. 07 (2025) 005.
- S.-F. Chen and M. M. Ivanov, Phys. Rev. D 112, 083562 (2025).
- H. Zhang et al. (DESI Collaboration), J. Cosmol. Astropart. Phys. 11 (2025) 049.
- A. Barreira, T. Lazeyras, and F. Schmidt, J. Cosmol. Astropart. Phys. 08 (2021) 029.
- S.-F. Chen and M. Zaldarriaga, J. Cosmol. Astropart. Phys. 08 (2025) 014.
- D. Green and J. Meyers, Phys. Rev. D 111, 083507 (2025).
- O. H. E. Philcox, E. Silverstein, and G. Torroba, arXiv:2507.00115.
- G. Cabass, M. M. Ivanov, O. H. E. Philcox, M. Simonović, and M. Zaldarriaga, Phys. Rev. Lett. 129, 021301 (2022).
- M. M. Ivanov, O. H. E. Philcox, M. Simonović, M. Zaldarriaga, T. Nischimichi, and M. Takada, Phys. Rev. D 105, 043531 (2022).
- www.desi.lbl.gov/collaborating-institutions.
- F.-S. Kitaura et al., Mon. Not. R. Astron. Soc. 456, 4156 (2016).