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Cosmology and source redshift constraints from galaxy clustering and tomographic weak lensing with HSC Y3 and SDSS using the point-mass correction model

Tianqing Zhang1,2,*, Xiangchong Li2,3, Sunao Sugiyama4, Rachel Mandelbaum2, Surhud More5,6, Roohi Dalal7, Arun Kannawadi8, Hironao Miyatake6,9,10, Atsushi J. Nishizawa9,11 et al.

Takahiro Nishimichi6,12,13, Masamune Oguri6,14,15, Ken Osato6,14,15, Markus M. Rau16,17, Masato Shirasaki18,19, Tomomi Sunayama6,9,20, and Masahiro Takada6,21

  • *Contact author: tq.zhang@pitt.edu
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Phys. Rev. D 113, 103530 – Published 19 May, 2026

DOI: https://doi.org/10.1103/hskc-8792

Abstract

The combination of galaxy clustering and weak lensing is a powerful probe of the cosmology model. We present a joint analysis of galaxy clustering and weak lensing cosmology using Sloan Digital Sky Survey (SDSS) data as the tracer of dark matter (lens sample) and the Hyper Suprime-Cam year-3 (HSC Y3) dataset as source galaxies. The analysis divides HSC Y3 galaxies into four tomographic bins for both galaxy-galaxy lensing and cosmic shear measurements and employs a point-mass correction model to utilize galaxy-galaxy lensing signals down to 2  h−1 Mpc, extending up to 70  h−1 Mpc. These strategies enhance the signal-to-noise ratio of the galaxy-galaxy lensing data vector. Using a flat ΛCDM model, we find S8=0.780−0.030+0.029, and using a wCDM model, we obtain S8=0.756−0.036+0.038 with w=−1.176−0.346+0.310. We apply uninformative priors on the redshift mean-shift parameters for the third and fourth tomographic bins. Leveraging the self-calibration power of tomographic weak lensing, we measure Δz3=−0.112−0.049+0.046 and Δz4=−0.185−0.081+0.071, in agreement with previous HSC Y3 results. This demonstrates that weak lensing self-calibration can achieve redshift constraints comparable to other methods such as photometric and clustering redshift calibration.

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Modeling galaxy clustering and tomographic galaxy-galaxy lensing with HSC Y3 and SDSS data using the point-mass correction model and redshift self-calibration

Tianqing Zhang, Sunao Sugiyama, Surhud More, Rachel Mandelbaum, Xiangchong Li, Roohi Dalal, Arun Kannawadi, Hironao Miyatake, Atsushi J. Nishizawa, Takahiro Nishimichi, Masamune Oguri, Ken Osato, Markus M. Rau, Masato Shirasaki, Tomomi Sunayama, and Masahiro Takada
Phys. Rev. D 113, 103529 (2026)

Article Text

References (88)

  1. N. Aghanim, Y. Akrami, M. Ashdown, J. Aumont, C. Baccigalupi, M. Ballardini, A. J. Banday, R. B. Barreiro, N. Bartolo et al. (Planck Collaboration), Astron. Astrophys. 641, A6 (2020).
  2. T. M. C. Abbott, M. Aguena, A. Alarcon, S. Allam, O. Alves, A. Amon, F. Andrade-Oliveira, J. Annis, S. Avila, D. Bacon et al., Phys. Rev. D 105, 023520 (2022).
  3. A. G. Adame et al., J. Cosmol. Astropart. Phys. 02 (2025) 021.
  4. A. G. Riess, S. Casertano, W. Yuan, L. M. Macri, and D. Scolnic, Astrophys. J. 876, 85 (2019).
  5. D. M. Scolnic, D. O. Jones, A. Rest, Y. C. Pan, R. Chornock, R. J. Foley, M. E. Huber, R. Kessler, G. Narayan, A. G. Riess et al., Astrophys. J. 859, 101 (2018).
  6. W. Hu, Astrophys. J. Lett. 522, L21 (1999).
  7. S. Dodelson and F. Schmidt, Modern Cosmology (Academic, New York, 2020).
  8. M. Kilbinger, Rep. Prog. Phys. 78, 086901 (2015).
  9. R. Mandelbaum, Annu. Rev. Astron. Astrophys. 56, 393 (2018).
  10. A. Amon, D. Gruen, M. A. Troxel, N. MacCrann, S. Dodelson, A. Choi, C. Doux, L. F. Secco, S. Samuroff, E. Krause et al., Phys. Rev. D 105, 023514 (2022).
  11. L. F. Secco, S. Samuroff, E. Krause, B. Jain, J. Blazek, M. Raveri, A. Campos, A. Amon, A. Chen, C. Doux et al., Phys. Rev. D 105, 023515 (2022).
  12. X. Li, T. Zhang, S. Sugiyama, R. Dalal, M. M. Rau, R. Mandelbaum, M. Takada, S. More, M. A. Strauss, H. Miyatake et al., Phys. Rev. D 108, 123518 (2023).
  13. R. Dalal et al., Phys. Rev. D 108, 123519 (2023).
  14. A. H. Wright et al., Astron. Astrophys. 703, A158 (2025).
  15. J. Prat et al. (DES Collaboration), Phys. Rev. D 98, 042005 (2018).
  16. H. Miyatake, Y. Kobayashi, M. Takada, T. Nishimichi, M. Shirasaki, S. Sugiyama, R. Takahashi, K. Osato, S. More, and Y. Park, Phys. Rev. D 106, 083519 (2022).
  17. S. Sugiyama et al., Phys. Rev. D 108, 123521 (2023).
  18. H. Miyatake, S. Sugiyama, M. Takada, T. Nishimichi, X. Li, M. Shirasaki, S. More, Y. Kobayashi, A. J. Nishizawa, M. M. Rau et al., Phys. Rev. D 108, 123517 (2023).
  19. E. van Uitert, B. Joachimi, S. Joudaki, A. Amon, C. Heymans, F. Köhlinger, M. Asgari, C. Blake, A. Choi, T. Erben et al., Mon. Not. R. Astron. Soc. 476, 4662 (2018).
  20. C. Heymans et al., Astron. Astrophys. 646, A140 (2021).
  21. H. Johnston et al., Astron. Astrophys. 699, A127 (2025).
  22. S. More, S. Sugiyama, H. Miyatake, M. M. Rau, M. Shirasaki, X. Li, A. J. Nishizawa, K. Osato, T. Zhang, M. Takada et al., Phys. Rev. D 108, 123520 (2023).
  23. T. Zhang, S. Sugiyama, S. More, R. Mandelbaum, X. Li, R. Dalal, H. Miyatake, A. Kannawadi, A. J. Nishizawa, T. Nishimichi, M. Oguri, K. Osato, M. M. Rau, M. Shirasaki, T. Sunayama, and M. Takada, preceding paper, Phys. Rev. D 113, 103529 (2026).
  24. J. E. Gunn et al., Astron. J. 131, 2332 (2006).
  25. K. N. Abazajian et al., Astrophys. J. Suppl. Ser. 182, 543 (2009).
  26. https://hsc-release.mtk.nao.ac.jp/doc/index. php/data-access_pdr3/.
  27. H. Aihara, Y. AlSayyad, M. Ando, R. Armstrong, J. Bosch, E. Egami, H. Furusawa, J. Furusawa, S. Harasawa, Y. Harikane et al., Publ. Astron. Soc. Jpn. 74, 247 (2022).
  28. X. Li, H. Miyatake, W. Luo, S. More, M. Oguri, T. Hamana, R. Mandelbaum, M. Shirasaki, M. Takada, R. Armstrong et al., Publ. Astron. Soc. Jpn. 74, 421 (2022).
  29. H. Aihara, Y. AlSayyad, M. Ando, R. Armstrong, J. Bosch, E. Egami, H. Furusawa, J. Furusawa, A. Goulding, Y. Harikane et al., Publ. Astron. Soc. Jpn. 71, 114 (2019).
  30. C. Hirata and U. Seljak, Mon. Not. R. Astron. Soc. 343, 459 (2003).
  31. R. Mandelbaum, C. M. Hirata, U. Seljak, J. Guzik, N. Padmanabhan, C. Blake, M. R. Blanton, R. Lupton, and J. Brinkmann, Mon. Not. R. Astron. Soc. 361, 1287 (2005).
  32. R. Mandelbaum, F. Lanusse, A. Leauthaud, R. Armstrong, M. Simet, H. Miyatake, J. E. Meyers, J. Bosch, R. Murata, S. Miyazaki et al., Mon. Not. R. Astron. Soc. 481, 3170 (2018).
  33. B. T. P. Rowe, M. Jarvis, R. Mandelbaum, G. M. Bernstein, J. Bosch, M. Simet, J. E. Meyers, T. Kacprzak, R. Nakajima, J. Zuntz et al., Astron. Comput. 10, 121 (2015).
  34. T. Zhang, X. Li, R. Dalal, R. Mandelbaum, M. A. Strauss, A. Kannawadi, H. Miyatake, A. Nicola, A. A. P. Malagón, M. Shirasaki et al., Mon. Not. R. Astron. Soc. 525, 2441 (2023).
  35. A. J. Nishizawa, B.-C. Hsieh, M. Tanaka, and T. Takata, arXiv:2003.01511.
  36. R. Mandelbaum, A. Slosar, T. Baldauf, U. Seljak, C. M. Hirata, R. Nakajima, R. Reyes, and R. E. Smith, Mon. Not. R. Astron. Soc. 432, 1544 (2013).
  37. E. S. Sheldon, D. E. Johnston, J. A. Frieman, R. Scranton, T. A. McKay, A. J. Connolly, T. Budavári, I. Zehavi, N. A. Bahcall, J. Brinkmann, and M. Fukugita, Astron. J. 127, 2544 (2004).
  38. M. M. Rau, R. Dalal, T. Zhang, X. Li, A. J. Nishizawa, S. More, R. Mandelbaum, H. Miyatake, M. A. Strauss, and M. Takada, Mon. Not. R. Astron. Soc. 524, 5109 (2023).
  39. M. Oguri, Mon. Not. R. Astron. Soc. 444, 147 (2014).
  40. S. Ishikawa, T. Okumura, M. Oguri, and S.-C. Lin, Astrophys. J. 922, 23 (2021).
  41. R. Takahashi, T. Hamana, M. Shirasaki, T. Namikawa, T. Nishimichi, K. Osato, and K. Shiroyama, Astrophys. J. 850, 24 (2017).
  42. S. Alam et al., Astrophys. J. Suppl. Ser. 219, 12 (2015).
  43. S. D. Landy and A. S. Szalay, Astrophys. J. 412, 64 (1993).
  44. M. Bartelmann and P. Schneider, Phys. Rep. 340, 291 (2001).
  45. J. Schaye, C. Dalla Vecchia, C. M. Booth, R. P. C. Wiersma, T. Theuns, M. R. Haas, S. Bertone, A. R. Duffy, I. G. McCarthy, and F. o. van de Voort, Mon. Not. R. Astron. Soc. 402, 1536 (2010).
  46. M. Shirasaki, M. Takada, H. Miyatake, R. Takahashi, T. Hamana, T. Nishimichi, and R. Murata, Mon. Not. R. Astron. Soc. 470, 3476 (2017).
  47. M. Shirasaki, T. Hamana, M. Takada, R. Takahashi, and H. Miyatake, Mon. Not. R. Astron. Soc. 486, 52 (2019).
  48. J. Zuntz, M. Paterno, E. Jennings, D. Rudd, A. Manzotti, S. Dodelson, S. Bridle, S. Sehrish, and J. Kowalkowski, Astron. Comput. 12, 45 (2015).
  49. https://github.com/joezuntz/cosmosis-standard-library.
  50. A. Lewis, A. Challinor, and A. Lasenby, Astrophys. J. 538, 473 (2000).
  51. A. J. Mead, C. Heymans, L. Lombriser, J. A. Peacock, O. I. Steele, and H. A. Winther, Mon. Not. R. Astron. Soc. 459, 1468 (2016).
  52. N. E. Chisari, M. L. A. Richardson, J. Devriendt, Y. Dubois, A. Schneider, A. M. C. Le Brun, R. S. Beckmann, S. Peirani, A. Slyz, and C. o. Pichon, Mon. Not. R. Astron. Soc. 480, 3962 (2018).
  53. H.-J. Huang, T. Eifler, R. Mandelbaum, G. M. Bernstein, A. Chen, A. Choi, J. García-Bellido, D. Huterer, E. Krause, E. Rozo et al., Mon. Not. R. Astron. Soc. 502, 6010 (2021).
  54. R. Terasawa, X. Li, M. Takada, T. Nishimichi, S. Tanaka, S. Sugiyama, T. Kurita, T. Zhang, M. Shirasaki, R. Takahashi et al., Phys. Rev. D 111, 063509 (2025).
  55. M. Asgari, A. Taylor, B. Joachimi, and T. D. Kitching, Mon. Not. R. Astron. Soc. 479, 454 (2018).
  56. B. Joachimi, C. A. Lin, M. Asgari, T. Tröster, C. Heymans, H. Hildebrandt, F. Köhlinger, A. G. Sánchez, A. H. Wright, M. Bilicki et al., Astron. Astrophys. 646, A129 (2021).
  57. A. M. C. Le Brun, I. G. McCarthy, J. Schaye, and T. J. Ponman, Mon. Not. R. Astron. Soc. 441, 1270 (2014).
  58. C. M. Hirata and U. Seljak, Phys. Rev. D 70, 063526 (2004).
  59. D. N. Limber, Astrophys. J. 117, 134 (1953).
  60. J. A. Blazek, N. MacCrann, M. A. Troxel, and X. Fang, Phys. Rev. D 100, 103506 (2019).
  61. J. E. McEwen, X. Fang, C. M. Hirata, and J. A. Blazek, J. Cosmol. Astropart. Phys. 09 (2016) 015.
  62. X. Fang, J. A. Blazek, J. E. McEwen, and C. M. Hirata, J. Cosmol. Astropart. Phys. 02 (2017) 030.
  63. S. Bridle and L. King, New J. Phys. 9, 444 (2007).
  64. E. Krause and C. M. Hirata, Astron. Astrophys. 523, A28 (2010).
  65. S. Sugiyama, M. Takada, Y. Kobayashi, H. Miyatake, M. Shirasaki, T. Nishimichi, and Y. Park, Phys. Rev. D 102, 083520 (2020).
  66. X. Fang, T. Eifler, and E. Krause, Mon. Not. R. Astron. Soc. 497, 2699 (2020).
  67. I. Zehavi et al. (SDSS Collaboration), Astrophys. J. 630, 1 (2005).
  68. N. Kaiser, Astrophys. J. Lett. 284, L9 (1984).
  69. T. Baldauf, R. E. Smith, U. Seljak, and R. Mandelbaum, Phys. Rev. D 81, 063531 (2010).
  70. S. Dodelson, Phys. Rev. D 82, 023522 (2010).
  71. J. Jefferson, Y. Omori, C. Chang, S. Agarwal, J. Zuntz, M. Asgari, M. Gatti, B. Giblin, C.-A. Hébert, M. Jarvis et al. (LSST Dark Energy Science Collaboration), arXiv:2505.03964.
  72. M. Oguri, Y.-T. Lin, S.-C. Lin, A. J. Nishizawa, A. More, S. More, B.-C. Hsieh, E. Medezinski, H. Miyatake, H.-Y. Jian et al., Publ. Astron. Soc. Jpn. 70, S20 (2018).
  73. T. Zhang, M. M. Rau, R. Mandelbaum, X. Li, and B. Moews, Mon. Not. R. Astron. Soc. 518, 709 (2023).
  74. S. More, H. Miyatake, R. Mandelbaum, M. Takada, D. N. Spergel, J. R. Brownstein, and D. P. Schneider, Astrophys. J. 806, 2 (2015).
  75. J. A. Newman, Astrophys. J. 684, 88 (2008).
  76. H. Hildebrandt, M. Viola, C. Heymans, S. Joudaki, K. Kuijken, C. Blake, T. Erben, B. Joachimi, D. Klaes, L. Miller et al., Mon. Not. R. Astron. Soc. 465, 1454 (2017).
  77. M. A. Karim et al. (DESI Collaboration), arXiv:2503.14745.
  78. M. Jarvis et al. (DES Collaboration), Mon. Not. R. Astron. Soc. 501, 1282 (2021).
  79. T. Zhang, H. Almoubayyed, R. Mandelbaum, J. E. Meyers, M. Jarvis, A. Kannawadi, M. A. Schmitz, and A. Guinot (LSST Dark Energy Science Collaboration), Mon. Not. R. Astron. Soc. 520, 2328 (2023).
  80. S. Sugiyama, M. Takada, H. Miyatake, T. Nishimichi, M. Shirasaki, Y. Kobayashi, R. Mandelbaum, S. More, R. Takahashi, K. Osato et al., Phys. Rev. D 105, 123537 (2022).
  81. J. Hartlap, P. Simon, and P. Schneider, Astron. Astrophys. 464, 399 (2007).
  82. C. Heymans, T. Tröster, M. Asgari, C. Blake, H. Hildebrandt, B. Joachimi, K. Kuijken, C.-A. Lin, A. G. Sánchez, J. L. van den Busch et al., Astron. Astrophys. 646, A140 (2021).
  83. Y. Park and E. Rozo, Mon. Not. R. Astron. Soc. 499, 4638 (2020).
  84. T. Ferreira, T. Zhang, N. Chen, and S. Dodelson (LSST Dark Energy Science Collaboration), Phys. Rev. D 103, 103535 (2021).
  85. http://pipelines.lsst.io/.
  86. T. Zhang, GitHub - ztq1996/hscy3-data-sharing: Sharing data product for HSC Y3 tomographic 2×2pt and 3×2pt analysis, GitHub, https://github.com/ztq1996/hscy3-data-sharing.
  87. I. G. McCarthy, J. Schaye, S. Bird, and A. M. C. Le Brun, Mon. Not. R. Astron. Soc. 465, 2936 (2017).
  88. R. Takahashi, M. Sato, T. Nishimichi, A. Taruya, and M. Oguri, Astrophys. J. 761, 152 (2012).

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Phys. Rev. D 113, 103530– Published 19 May, 2026
  • Received 3 July 2025
  • Accepted 28 January 2026
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