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  • Open Access

Nucleon Tomography with Zero Jettiness

Shen Fang1,*, Shuo Lin2,†, Ding Yu Shao1,3,‡, and Jian Zhou2,4,§

  • 1Department of Physics, Center for Field Theory and Particle Physics, Key Laboratory of Nuclear Physics and Ion-beam Application (MOE), Fudan University, Shanghai 200433, China
  • 2Key Laboratory of Particle Physics and Particle Irradiation (MOE), Institute of Frontier and Interdisciplinary Science, Shandong University, (Qingdao), Shandong 266237, China
  • 3Shanghai Research Center for Theoretical Nuclear Physics, NSFC and Fudan University, Shanghai 200438, China
  • 4Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences, Huizhou, Guangdong 516000, China

  • *Contact author: sfang23@m.fudan.edu.cn
  • †Contact author: shuolin@sdu.edu.cn
  • ‡Contact author: dingyu.shao@cern.ch
  • §Contact author: jzhou@sdu.edu.cn

Phys. Rev. Lett. 136, 021901 – Published 14 January, 2026

DOI: https://doi.org/10.1103/rvgc-sgv7

Abstract

We propose a novel strategy to systematically isolate the nucleon’s intrinsic nonperturbative three-dimensional structure by employing zero jettiness to suppress initial-state radiation in transverse-momentum-dependent observables. Applying this method to transverse single spin asymmetries (SSAs) in W± and Z0 boson production at Relativistic Heavy Ion Collider (RHIC), we demonstrate a substantial enhancement of the asymmetry signal (e.g., by 115% for W− SSA at q⊥=5  GeV). We show that this enhancement yields a substantial net gain in experimental sensitivity—even after accounting for the statistical cost of the veto—facilitating a more definitive test of the predicted Sivers function sign change. We further explore its applicability to spin-dependent measurements at the Electron-Ion Collider. Our analysis is formulated within a joint resummation framework that systematically resums large logarithms associated with both the veto scale and the gauge boson’s transverse momentum.

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References (91)

  1. A. Accardi et al., Eur. Phys. J. A 52, 268 (2016).
  2. R. Abdul Khalek et al., Nucl. Phys. A1026, 122447 (2022).
  3. D. P. Anderle et al., Front. Phys. (Beijing) 16, 64701 (2021).
  4. J. C. Collins and D. E. Soper, Nucl. Phys. B193, 381 (1981); B213, 545(E) (1983).
  5. J. C. Collins and D. E. Soper, Nucl. Phys. B194, 445 (1982).
  6. X.-d. Ji, J.-p. Ma, and F. Yuan, Phys. Rev. D 71, 034005 (2005).
  7. J. Collins, Foundations of Perturbative QCD (Cambridge University Press, Cambridge, England, 2011), Vol. 32, ISBN [Amazon][WorldCat], [Amazon][WorldCat], [Amazon][WorldCat].
  8. R. Boussarie et al., arXiv:2304.03302.
  9. P. J. Mulders and R. D. Tangerman, Nucl. Phys. B461, 197 (1996); B484, 538(E) (1997).
  10. P. J. Mulders and J. Rodrigues, Phys. Rev. D 63, 094021 (2001).
  11. D. W. Sivers, Phys. Rev. D 41, 83 (1990).
  12. J. C. Collins, Nucl. Phys. B396, 161 (1993).
  13. Z.-t. Liang and C. Boros, Phys. Rev. Lett. 79, 3608 (1997).
  14. X.-d. Ji, J.-P. Ma, and F. Yuan, Nucl. Phys. B652, 383 (2003).
  15. S. J. Brodsky, D. S. Hwang, and I. Schmidt, Phys. Lett. B 530, 99 (2002).
  16. S. J. Brodsky, D. S. Hwang, and I. Schmidt, Nucl. Phys. B642, 344 (2002).
  17. J. C. Collins, Phys. Lett. B 536, 43 (2002).
  18. J. C. Collins and A. Metz, Phys. Rev. Lett. 93, 252001 (2004).
  19. X.-d. Ji and F. Yuan, Phys. Lett. B 543, 66 (2002).
  20. L. D. McLerran and R. Venugopalan, Phys. Rev. D 49, 2233 (1994).
  21. L. D. McLerran and R. Venugopalan, Phys. Rev. D 49, 3352 (1994).
  22. F. Dominguez, C. Marquet, B.-W. Xiao, and F. Yuan, Phys. Rev. D 83, 105005 (2011).
  23. A. Metz and J. Zhou, Phys. Rev. D 84, 051503 (2011).
  24. E. Akcakaya, A. Schäfer, and J. Zhou, Phys. Rev. D 87, 054010 (2013).
  25. J. Zhou, Phys. Rev. D 89, 074050 (2014).
  26. P. Kotko, K. Kutak, C. Marquet, E. Petreska, S. Sapeta, and A. van Hameren, J. High Energy Phys. 09 (2015) 106.
  27. D. Boer, M. G. Echevarria, P. Mulders, and J. Zhou, Phys. Rev. Lett. 116, 122001 (2016).
  28. I. Balitsky and A. Tarasov, J. High Energy Phys. 06 (2016) 164.
  29. T. Altinoluk and R. Boussarie, J. High Energy Phys. 10 (2019) 208.
  30. I. W. Stewart, F. J. Tackmann, and W. J. Waalewijn, Phys. Rev. Lett. 105, 092002 (2010).
  31. J. Gaunt, M. Stahlhofen, F. J. Tackmann, and J. R. Walsh, J. High Energy Phys. 09 (2015) 058.
  32. R. Boughezal, C. Focke, W. Giele, X. Liu, and F. Petriello, Phys. Lett. B 748, 5 (2015).
  33. R. Boughezal, C. Focke, X. Liu, and F. Petriello, Phys. Rev. Lett. 115, 062002 (2015).
  34. R. Boughezal, J. M. Campbell, R. K. Ellis, C. Focke, W. Giele, X. Liu, F. Petriello, and C. Williams, Eur. Phys. J. C 77, 7 (2017).
  35. I. W. Stewart, F. J. Tackmann, and W. J. Waalewijn, J. High Energy Phys. 09 (2010) 005.
  36. Z.-B. Kang, X. Liu, and S. Mantry, Phys. Rev. D 90, 014041 (2014).
  37. G. Lustermans, J. K. L. Michel, F. J. Tackmann, and W. J. Waalewijn, J. High Energy Phys. 03 (2019) 124.
  38. S. Alioli, A. Broggio, and M. A. Lim, J. High Energy Phys. 01 (2022) 066.
  39. S. Alioli, G. Bell, G. Billis, A. Broggio, B. Dehnadi, M. A. Lim, G. Marinelli, R. Nagar, D. Napoletano, and R. Rahn, Phys. Rev. D 109, 094009 (2024).
  40. M. Knobbe, D. Reichelt, and S. Schumann, J. High Energy Phys. 09 (2023) 194.
  41. H. Cao, Z.-B. Kang, X. Liu, and S. Mantry, Phys. Rev. D 110, 014045 (2024).
  42. A. Jain, M. Procura, and W. J. Waalewijn, J. High Energy Phys. 04 (2012) 132.
  43. M. Procura, W. J. Waalewijn, and L. Zeune, J. High Energy Phys. 02 (2015) 117.
  44. P. F. Monni, L. Rottoli, and P. Torrielli, Phys. Rev. Lett. 124, 252001 (2020).
  45. Y. Makris, F. Ringer, and W. J. Waalewijn, J. High Energy Phys. 02 (2021) 070.
  46. Z.-B. Kang and J.-W. Qiu, Phys. Rev. Lett. 103, 172001 (2009).
  47. A. Metz and J. Zhou, Phys. Lett. B 700, 11 (2011).
  48. Z.-B. Kang, B.-W. Xiao, and F. Yuan, Phys. Rev. Lett. 107, 152002 (2011).
  49. M. G. Echevarria, Z.-B. Kang, and J. Terry, J. High Energy Phys. 01 (2021) 126.
  50. J.-w. Qiu and G. F. Sterman, Phys. Rev. Lett. 67, 2264 (1991).
  51. X. Ji, J.-W. Qiu, W. Vogelsang, and F. Yuan, Phys. Rev. Lett. 97, 082002 (2006).
  52. I. W. Stewart, F. J. Tackmann, and W. J. Waalewijn, Phys. Rev. D 81, 094035 (2010).
  53. Z.-B. Kang, S. Mantry, and J.-W. Qiu, Phys. Rev. D 86, 114011 (2012).
  54. T. T. Jouttenus, I. W. Stewart, F. J. Tackmann, and W. J. Waalewijn, Phys. Rev. D 88, 054031 (2013).
  55. Z.-B. Kang, X. Liu, S. Mantry, and J.-W. Qiu, Phys. Rev. D 88, 074020 (2013).
  56. J. R. Gaunt, M. Stahlhofen, and F. J. Tackmann, J. High Energy Phys. 04 (2014) 113.
  57. C. W. Bauer, S. Fleming, D. Pirjol, and I. W. Stewart, Phys. Rev. D 63, 114020 (2001).
  58. C. W. Bauer and I. W. Stewart, Phys. Lett. B 516, 134 (2001).
  59. C. W. Bauer, D. Pirjol, and I. W. Stewart, Phys. Rev. D 65, 054022 (2002).
  60. C. W. Bauer, S. Fleming, D. Pirjol, I. Z. Rothstein, and I. W. Stewart, Phys. Rev. D 66, 014017 (2002).
  61. M. Beneke, A. P. Chapovsky, M. Diehl, and T. Feldmann, Nucl. Phys. B643, 431 (2002).
  62. J. C. Collins, D. E. Soper, and G. F. Sterman, Nucl. Phys. B250, 199 (1985).
  63. See Supplemental Material at http://link.aps.org/supplemental/10.1103/rvgc-sgv7 for a detailed derivation of the Sudakov factor with a zero-jettiness cut imposed, as well as additional numerical results.
  64. X.-d. Ji, J.-P. Ma, and F. Yuan, Phys. Lett. B 597, 299 (2004).
  65. J.-w. Qiu and G. F. Sterman, Nucl. Phys. B378, 52 (1992).
  66. J.-w. Qiu and G. F. Sterman, Phys. Rev. D 59, 014004 (1999).
  67. D. Rein, M. Schlegel, P. Tollkühn, and W. Vogelsang, Phys. Rev. D 112, 114024 (2025).
  68. D. Rein, M. Schlegel, P. Tollkühn, and W. Vogelsang, Phys. Rev. Lett. 135, 251901 (2025).
  69. J. Zhou, F. Yuan, and Z.-T. Liang, Phys. Rev. D 81, 054008 (2010).
  70. F. Rein, S. Rodini, A. Schäfer, and A. Vladimirov, J. High Energy Phys. 01 (2023) 116.
  71. P. Sun, J. Isaacson, C. P. Yuan, and F. Yuan, Int. J. Mod. Phys. A 33, 1841006 (2018).
  72. P. Sun and F. Yuan, Phys. Rev. D 88, 034016 (2013).
  73. M. G. Echevarria, A. Idilbi, Z.-B. Kang, and I. Vitev, Phys. Rev. D 89, 074013 (2014).
  74. A. Bacchetta, F. Delcarro, C. Pisano, and M. Radici, Phys. Lett. B 827, 136961 (2022).
  75. M. Bury, A. Prokudin, and A. Vladimirov, J. High Energy Phys. 05 (2021) 151.
  76. Z.-B. Kang and J.-W. Qiu, Phys. Rev. D 79, 016003 (2009).
  77. J. Zhou, F. Yuan, and Z.-T. Liang, Phys. Rev. D 79, 114022 (2009).
  78. W. Vogelsang and F. Yuan, Phys. Rev. D 79, 094010 (2009).
  79. V. M. Braun, A. N. Manashov, and B. Pirnay, Phys. Rev. D 80, 114002 (2009); 86, 119902(E) (2012).
  80. J. P. Ma and H. Z. Sang, J. High Energy Phys. 04 (2011) 062.
  81. A. Schafer and J. Zhou, Phys. Rev. D 85, 117501 (2012).
  82. J. P. Ma and Q. Wang, Phys. Lett. B 715, 157 (2012).
  83. Z.-B. Kang and J.-W. Qiu, Phys. Lett. B 713, 273 (2012).
  84. P. Sun and F. Yuan, Phys. Rev. D 88, 114012 (2013).
  85. J. Zhou, Phys. Rev. D 92, 074016 (2015).
  86. O. del Rio, A. Prokudin, I. Scimemi, and A. Vladimirov, Phys. Rev. D 110, 016003 (2024).
  87. The total integrated luminosity L=780  pb−1 combines data from the 2017 RHIC run (350  pb−1 with polarization P≈55%) and the 2022 run (430  pb−1 with P≈50%). An effective polarization of P=53% is used in our calculation.

  88. D. Kang, C. Lee, and I. W. Stewart, Phys. Rev. D 88, 054004 (2013).
  89. P. Nadel-Turonski, Acta Phys. Pol. B Proc. Suppl. 18, 1 (2025).
  90. P. Bijl, S. Niedenzu, and W. J. Waalewijn, Phys. Rev. D 109, 014011 (2024).
  91. J. Collins and T. Rogers, Phys. Rev. D 91, 074020 (2015).

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