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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 Zhang1,2,*, Sunao Sugiyama3, Surhud More4,5, Rachel Mandelbaum2, Xiangchong Li2,6, Roohi Dalal7, Arun Kannawadi8, Hironao Miyatake5,9,10, Atsushi J. Nishizawa9,11 et al.

Takahiro Nishimichi5,12,13, Masamune Oguri5,14,15, Ken Osato5,14,15, Markus M. Rau16,17, Masato Shirasaki18,19, Tomomi Sunayama5,9,20, and Masahiro Takada5,21

  • *Contact author: tq.zhang@pitt.edu
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Phys. Rev. D 113, 103529 – Published 19 May, 2026

DOI: https://doi.org/10.1103/5p9m-fppn

Abstract

The combination of galaxy-galaxy weak lensing and galaxy clustering is a powerful probe of the cosmological model, and exploration of how to best model and extract this information from the signals is essential. We present the measurement of the galaxy-galaxy weak lensing signals using the SDSS DR11 spectroscopic galaxies as lens galaxies, and the HSC Y3 shear catalog as source galaxies, binned into four tomographic bins by their photometric redshift. The SDSS DR11 galaxies, with a redshift range 0.15<z<0.7, are binned into three redshift bins, each as a probe for measuring the projected correlation function, wp(Rp). We measure the galaxy-galaxy lensing signal ΔΣ(Rp) in 12 lens-source bin pairs and show that there is no evidence for significant systematic biases in the measurement with null testing. We combine our wp(Rp) and ΔΣ(Rp) (2×2pt) data vectors and perform likelihood inference with a flat ΛCDM model. For ΔΣ(Rp), we extend the lower limit of the scale cut compared to previous HSC Y3 analyses to 2h−1  Mpc by including a point-mass correction term in addition to the minimal bias model. We present various tests to validate our model and provide extended consistency tests. In the ΛCDM context, our fiducial model yields S8=0.804−0.051+0.051. The 2×2pt data vector provides redshift parameter constraints for the third and fourth redshift bins Δz3=−0.079−0.084+0.074, and Δz4=−0.203−0.206+0.167, which is consistent with results from the previous tomographic cosmic shear studies, and serves as the foundation for a future 3×2pt analysis.

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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 Zhang, Xiangchong Li, Sunao Sugiyama, Rachel Mandelbaum, Surhud More, 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, 103530 (2026)

Article Text

References (84)

  1. P. J. E. Peebles, Phil. Trans. R. Soc. A 383, 20240021 (2025).
  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. S. Sugiyama et al., Phys. Rev. D 108, 123521 (2023).
  4. A. H. Wright et al., Astron. Astrophys. 703, A158 (2025).
  5. A. G. Riess, S. Casertano, W. Yuan, L. M. Macri, and D. Scolnic, Astrophys. J. 876, 85 (2019).
  6. 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).
  7. 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).
  8. J.-P. Hu and F.-Y. Wang, Universe 9, 94 (2023).
  9. 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).
  10. R. Dalal et al., Phys. Rev. D 108, 123519 (2023).
  11. S. Dodelson and F. Schmidt, Modern Cosmology (Academic Press, London, United Kindom, 2020).
  12. A. Cooray and R. Sheth, Phys. Rep. 372, 1 (2002).
  13. A. G. Adame et al. (DESI Collaboration), J. Cosmol. Astropart. Phys. 09 (2025) 008.
  14. M. Rodríguez-Monroy et al. (DES Collaboration), Mon. Not. R. Astron. Soc. 511, 2665 (2022).
  15. E. van Uitert et al., Mon. Not. R. Astron. Soc. 476, 4662 (2018).
  16. S. Pandey, E. Krause, J. DeRose, N. MacCrann, B. Jain, M. Crocce, J. Blazek, A. Choi, H. Huang, C. To et al., Phys. Rev. D 106, 043520 (2022).
  17. H. Miyatake, S. Sugiyama, M. Takada, T. Nishimichi, M. Shirasaki, Y. Kobayashi, R. Mandelbaum, S. More, M. Oguri, K. Osato et al., Phys. Rev. D 106, 083520 (2022).
  18. H. Aihara et al., Publ. Astron. Soc. Jpn. 70, S4 (2018).
  19. S. Miyazaki, Y. Komiyama, S. Kawanomoto, Y. Doi, H. Furusawa, T. Hamana, Y. Hayashi, H. Ikeda, Y. Kamata, H. Karoji et al., Publ. Astron. Soc. Jpn. 70, S1 (2018).
  20. 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).
  21. S. Alam et al., Astrophys. J. Suppl. Ser. 219, 12 (2015).
  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. 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).
  24. M. Oguri and M. Takada, Phys. Rev. D 83, 023008 (2011).
  25. 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).
  26. J. Prat et al. (DES Collaboration), Phys. Rev. D 98, 042005 (2018).
  27. T. Baldauf, R. E. Smith, U. Seljak, and R. Mandelbaum, Phys. Rev. D 81, 063531 (2010).
  28. 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).
  29. 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).
  30. T. Nishimichi, M. Takada, R. Takahashi, K. Osato, M. Shirasaki, T. Oogi, H. Miyatake, M. Oguri, R. Murata, Y. Kobayashi, and N. Yoshida, Astrophys. J. 884, 29 (2019).
  31. K. S. Dawson et al., Astron. J. 145, 10 (2013).
  32. S. Sugiyama, M. Takada, Y. Kobayashi, H. Miyatake, M. Shirasaki, T. Nishimichi, and Y. Park, Phys. Rev. D 102, 083520 (2020).
  33. K. N. Abazajian et al., Astrophys. J. Suppl. Ser. 182, 543 (2009).
  34. J. E. Gunn et al., Astron. J. 131, 2332 (2006).
  35. Q. Hang, B. Joachimi, E. Charles, J. F. Crenshaw, P. Larsen, A. I. Malz, S. Schmidt, Z. Yan, T. Zhang (LSST Dark Energy Science Collaboration), Mon. Not. R. Astron. Soc. 535, 2970 (2024).
  36. H. Furusawa, M. Koike, T. Takata, Y. Okura, H. Miyatake, R. H. Lupton, S. Bickerton, P. A. Price, J. Bosch, N. Yasuda et al., Publ. Astron. Soc. Jpn. 70, S3 (2018).
  37. 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).
  38. 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).
  39. A. J. Nishizawa, B.-C. Hsieh, M. Tanaka, and T. Takata, arXiv:2003.01511.
  40. https://pipelines.lsst.io/
  41. J. Bosch, R. Armstrong, S. Bickerton, H. Furusawa, H. Ikeda, M. Koike, R. Lupton, S. Mineo, P. Price, T. Takata et al., Publ. Astron. Soc. Jpn. 70, S5 (2018).
  42. C. Hirata and U. Seljak, Mon. Not. R. Astron. Soc. 343, 459 (2003).
  43. 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).
  44. B. T. P. Rowe, M. Jarvis, R. Mandelbaum, G. M. Bernstein, J. Bosch, M. Simet, J. E. Meyers, T. Kacprzak, R. Nakajima, J. Zuntz, H. Miyatake, J. P. Dietrich, R. Armstrong, P. Melchior, and M. S. S. Gill, Astron. Comput. 10, 121 (2015).
  45. M. Oguri, Mon. Not. R. Astron. Soc. 444, 147 (2014).
  46. M. Oguri, S. Miyazaki, C. Hikage, R. Mandelbaum, Y. Utsumi, H. Miyatake, M. Takada, R. Armstrong, J. Bosch, Y. Komiyama et al., Publ. Astron. Soc. Jpn. 70, S26 (2018).
  47. S. Singh, R. Mandelbaum, U. Seljak, A. Slosar, and J. Vazquez Gonzalez, Mon. Not. R. Astron. Soc. 471, 3827 (2017).
  48. R. Takahashi, T. Hamana, M. Shirasaki, T. Namikawa, T. Nishimichi, K. Osato, and K. Shiroyama, Astrophys. J. 850, 24 (2017).
  49. G. Hinshaw, D. Larson, E. Komatsu, D. N. Spergel, C. L. Bennett, J. Dunkley, M. R. Nolta, M. Halpern, R. S. Hill, N. Odegard et al., Astrophys. J. Suppl. Ser. 208, 19 (2013).
  50. M. Shirasaki, T. Hamana, M. Takada, R. Takahashi, and H. Miyatake, Mon. Not. R. Astron. Soc. 486, 52 (2019).
  51. J. F. Navarro, C. S. Frenk, and S. D. M. White, Astrophys. J. 490, 493 (1997).
  52. P. S. Behroozi, R. H. Wechsler, and H.-Y. Wu, Astrophys. J. 762, 109 (2013).
  53. I. Zehavi et al. (SDSS Collaboration), Astrophys. J. 630, 1 (2005).
  54. S. More, H. Miyatake, R. Mandelbaum, M. Takada, D. N. Spergel, J. R. Brownstein, and D. P. Schneider, Astrophys. J. 806, 2 (2015).
  55. M. Bartelmann and P. Schneider, Phys. Rep. 340, 291 (2001).
  56. 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).
  57. M. Jarvis, G. M. Bernstein, P. Fischer, D. Smith, B. Jain, J. A. Tyson, and D. Wittman, Astron. J. 125, 1014 (2003).
  58. E. S. Sheldon, D. E. Johnston, R. Scranton, B. P. Koester, T. A. McKay, H. Oyaizu, C. Cunha, M. Lima, H. Lin, J. A. Frieman, R. H. Wechsler, J. Annis, R. Mandelbaum, N. A. Bahcall, and M. Fukugita, Astrophys. J. 703, 2217 (2009).
  59. H. Miyatake, S. More, R. Mandelbaum, M. Takada, D. N. Spergel, J.-P. Kneib, D. P. Schneider, J. Brinkmann, and J. R. Brownstein, Astrophys. J. 806, 1 (2015).
  60. S. Bridle and L. King, New J. Phys. 9, 444 (2007).
  61. C. Heymans, E. Grocutt, A. Heavens, M. Kilbinger, T. D. Kitching, F. Simpson, J. Benjamin, T. Erben, H. Hildebrandt, H. Hoekstra et al., Mon. Not. R. Astron. Soc. 432, 2433 (2013).
  62. J. A. Blazek, N. MacCrann, M. A. Troxel, and X. Fang, Phys. Rev. D 100, 103506 (2019).
  63. A. Lewis, A. Challinor, and A. Lasenby, Astrophys. J. 538, 473 (2000).
  64. R. Takahashi, M. Sato, T. Nishimichi, A. Taruya, and M. Oguri, Astrophys. J. 761, 152 (2012).
  65. 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).
  66. T. Zhang et al., following paper, Phys. Rev. D 113, 103530 (2026).
  67. A. J. Mead, S. Brieden, T. Tröster, and C. Heymans, Mon. Not. R. Astron. Soc. 502, 1401 (2021).
  68. H.-J. Huang, T. Eifler, R. Mandelbaum, and S. Dodelson, Mon. Not. R. Astron. Soc. 488, 1652 (2019).
  69. F. C. van den Bosch, S. More, M. Cacciato, H. Mo, and X. Yang, Mon. Not. R. Astron. Soc. 430, 725 (2013).
  70. J. Prat et al. (DES Collaboration), Phys. Rev. D 105, 083528 (2022).
  71. C. M. Hirata and U. Seljak, Phys. Rev. D 70, 063526 (2004).
  72. C. M. Hirata and U. Seljak, Phys. Rev. D 70, 063526 (2004).
  73. S. Singh, R. Mandelbaum, and S. More, Mon. Not. R. Astron. Soc. 450, 2195 (2015).
  74. L. Faga et al. (DES Collaboration), Mon. Not. R. Astron. Soc. 536, 1586 (2025).
  75. T. Zhang, M. M. Rau, R. Mandelbaum, X. Li, and B. Moews, Mon. Not. R. Astron. Soc. 518, 709 (2023).
  76. P. Lemos, N. Weaverdyck, R. P. Rollins, J. Muir, A. Ferté, A. R. Liddle, A. Campos, D. Huterer, M. Raveri, J. Zuntz et al., Mon. Not. R. Astron. Soc. 521, 1184 (2023).
  77. N. Schöneberg, J. Lesgourgues, and D. C. Hooper, J. Cosmol. Astropart. Phys. 10 (2019) 029.
  78. J. Hartlap, P. Simon, and P. Schneider, Astron. Astrophys. 464, 399 (2007).
  79. J. Zuntz, M. Paterno, E. Jennings, D. Rudd, A. Manzotti, S. Dodelson, S. Bridle, S. Sehrish, and J. Kowalkowski, Astron. Comput. 12, 45 (2015).
  80. 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).
  81. E. Krause and C. M. Hirata, Astron. Astrophys. 523, A28 (2010).
  82. M. Raveri and W. Hu, Phys. Rev. D 99, 043506 (2019).
  83. A. F. Heavens, R. Jimenez, and O. Lahav, Mon. Not. R. Astron. Soc. 317, 965 (2000).
  84. T. Zhang, hscy3-data-sharing (2025), https://github.com/ztq1996/hscy3-data-sharing.

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Phys. Rev. D 113, 103529– Published 19 May, 2026
  • Received 3 July 2025
  • Accepted 28 January 2026
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