- Open Access
Nucleon Tomography with Zero Jettiness
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 and boson production at Relativistic Heavy Ion Collider (RHIC), we demonstrate a substantial enhancement of the asymmetry signal (e.g., by 115% for SSA at ). 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)
- A. Accardi et al., Eur. Phys. J. A 52, 268 (2016).
- R. Abdul Khalek et al., Nucl. Phys. A1026, 122447 (2022).
- D. P. Anderle et al., Front. Phys. (Beijing) 16, 64701 (2021).
- J. C. Collins and D. E. Soper, Nucl. Phys. B193, 381 (1981); B213, 545(E) (1983).
- J. C. Collins and D. E. Soper, Nucl. Phys. B194, 445 (1982).
- X.-d. Ji, J.-p. Ma, and F. Yuan, Phys. Rev. D 71, 034005 (2005).
- J. Collins, Foundations of Perturbative QCD (Cambridge University Press, Cambridge, England, 2011), Vol. 32, ISBN [Amazon][WorldCat], [Amazon][WorldCat], [Amazon][WorldCat].
- R. Boussarie et al., arXiv:2304.03302.
- P. J. Mulders and R. D. Tangerman, Nucl. Phys. B461, 197 (1996); B484, 538(E) (1997).
- P. J. Mulders and J. Rodrigues, Phys. Rev. D 63, 094021 (2001).
- D. W. Sivers, Phys. Rev. D 41, 83 (1990).
- J. C. Collins, Nucl. Phys. B396, 161 (1993).
- Z.-t. Liang and C. Boros, Phys. Rev. Lett. 79, 3608 (1997).
- X.-d. Ji, J.-P. Ma, and F. Yuan, Nucl. Phys. B652, 383 (2003).
- S. J. Brodsky, D. S. Hwang, and I. Schmidt, Phys. Lett. B 530, 99 (2002).
- S. J. Brodsky, D. S. Hwang, and I. Schmidt, Nucl. Phys. B642, 344 (2002).
- J. C. Collins, Phys. Lett. B 536, 43 (2002).
- J. C. Collins and A. Metz, Phys. Rev. Lett. 93, 252001 (2004).
- X.-d. Ji and F. Yuan, Phys. Lett. B 543, 66 (2002).
- L. D. McLerran and R. Venugopalan, Phys. Rev. D 49, 2233 (1994).
- L. D. McLerran and R. Venugopalan, Phys. Rev. D 49, 3352 (1994).
- F. Dominguez, C. Marquet, B.-W. Xiao, and F. Yuan, Phys. Rev. D 83, 105005 (2011).
- A. Metz and J. Zhou, Phys. Rev. D 84, 051503 (2011).
- E. Akcakaya, A. Schäfer, and J. Zhou, Phys. Rev. D 87, 054010 (2013).
- J. Zhou, Phys. Rev. D 89, 074050 (2014).
- P. Kotko, K. Kutak, C. Marquet, E. Petreska, S. Sapeta, and A. van Hameren, J. High Energy Phys. 09 (2015) 106.
- D. Boer, M. G. Echevarria, P. Mulders, and J. Zhou, Phys. Rev. Lett. 116, 122001 (2016).
- I. Balitsky and A. Tarasov, J. High Energy Phys. 06 (2016) 164.
- T. Altinoluk and R. Boussarie, J. High Energy Phys. 10 (2019) 208.
- I. W. Stewart, F. J. Tackmann, and W. J. Waalewijn, Phys. Rev. Lett. 105, 092002 (2010).
- J. Gaunt, M. Stahlhofen, F. J. Tackmann, and J. R. Walsh, J. High Energy Phys. 09 (2015) 058.
- R. Boughezal, C. Focke, W. Giele, X. Liu, and F. Petriello, Phys. Lett. B 748, 5 (2015).
- R. Boughezal, C. Focke, X. Liu, and F. Petriello, Phys. Rev. Lett. 115, 062002 (2015).
- 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).
- I. W. Stewart, F. J. Tackmann, and W. J. Waalewijn, J. High Energy Phys. 09 (2010) 005.
- Z.-B. Kang, X. Liu, and S. Mantry, Phys. Rev. D 90, 014041 (2014).
- G. Lustermans, J. K. L. Michel, F. J. Tackmann, and W. J. Waalewijn, J. High Energy Phys. 03 (2019) 124.
- S. Alioli, A. Broggio, and M. A. Lim, J. High Energy Phys. 01 (2022) 066.
- 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).
- M. Knobbe, D. Reichelt, and S. Schumann, J. High Energy Phys. 09 (2023) 194.
- H. Cao, Z.-B. Kang, X. Liu, and S. Mantry, Phys. Rev. D 110, 014045 (2024).
- A. Jain, M. Procura, and W. J. Waalewijn, J. High Energy Phys. 04 (2012) 132.
- M. Procura, W. J. Waalewijn, and L. Zeune, J. High Energy Phys. 02 (2015) 117.
- P. F. Monni, L. Rottoli, and P. Torrielli, Phys. Rev. Lett. 124, 252001 (2020).
- Y. Makris, F. Ringer, and W. J. Waalewijn, J. High Energy Phys. 02 (2021) 070.
- Z.-B. Kang and J.-W. Qiu, Phys. Rev. Lett. 103, 172001 (2009).
- A. Metz and J. Zhou, Phys. Lett. B 700, 11 (2011).
- Z.-B. Kang, B.-W. Xiao, and F. Yuan, Phys. Rev. Lett. 107, 152002 (2011).
- M. G. Echevarria, Z.-B. Kang, and J. Terry, J. High Energy Phys. 01 (2021) 126.
- J.-w. Qiu and G. F. Sterman, Phys. Rev. Lett. 67, 2264 (1991).
- X. Ji, J.-W. Qiu, W. Vogelsang, and F. Yuan, Phys. Rev. Lett. 97, 082002 (2006).
- I. W. Stewart, F. J. Tackmann, and W. J. Waalewijn, Phys. Rev. D 81, 094035 (2010).
- Z.-B. Kang, S. Mantry, and J.-W. Qiu, Phys. Rev. D 86, 114011 (2012).
- T. T. Jouttenus, I. W. Stewart, F. J. Tackmann, and W. J. Waalewijn, Phys. Rev. D 88, 054031 (2013).
- Z.-B. Kang, X. Liu, S. Mantry, and J.-W. Qiu, Phys. Rev. D 88, 074020 (2013).
- J. R. Gaunt, M. Stahlhofen, and F. J. Tackmann, J. High Energy Phys. 04 (2014) 113.
- C. W. Bauer, S. Fleming, D. Pirjol, and I. W. Stewart, Phys. Rev. D 63, 114020 (2001).
- C. W. Bauer and I. W. Stewart, Phys. Lett. B 516, 134 (2001).
- C. W. Bauer, D. Pirjol, and I. W. Stewart, Phys. Rev. D 65, 054022 (2002).
- C. W. Bauer, S. Fleming, D. Pirjol, I. Z. Rothstein, and I. W. Stewart, Phys. Rev. D 66, 014017 (2002).
- M. Beneke, A. P. Chapovsky, M. Diehl, and T. Feldmann, Nucl. Phys. B643, 431 (2002).
- J. C. Collins, D. E. Soper, and G. F. Sterman, Nucl. Phys. B250, 199 (1985).
- 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.
- X.-d. Ji, J.-P. Ma, and F. Yuan, Phys. Lett. B 597, 299 (2004).
- J.-w. Qiu and G. F. Sterman, Nucl. Phys. B378, 52 (1992).
- J.-w. Qiu and G. F. Sterman, Phys. Rev. D 59, 014004 (1999).
- D. Rein, M. Schlegel, P. Tollkühn, and W. Vogelsang, Phys. Rev. D 112, 114024 (2025).
- D. Rein, M. Schlegel, P. Tollkühn, and W. Vogelsang, Phys. Rev. Lett. 135, 251901 (2025).
- J. Zhou, F. Yuan, and Z.-T. Liang, Phys. Rev. D 81, 054008 (2010).
- F. Rein, S. Rodini, A. Schäfer, and A. Vladimirov, J. High Energy Phys. 01 (2023) 116.
- P. Sun, J. Isaacson, C. P. Yuan, and F. Yuan, Int. J. Mod. Phys. A 33, 1841006 (2018).
- P. Sun and F. Yuan, Phys. Rev. D 88, 034016 (2013).
- M. G. Echevarria, A. Idilbi, Z.-B. Kang, and I. Vitev, Phys. Rev. D 89, 074013 (2014).
- A. Bacchetta, F. Delcarro, C. Pisano, and M. Radici, Phys. Lett. B 827, 136961 (2022).
- M. Bury, A. Prokudin, and A. Vladimirov, J. High Energy Phys. 05 (2021) 151.
- Z.-B. Kang and J.-W. Qiu, Phys. Rev. D 79, 016003 (2009).
- J. Zhou, F. Yuan, and Z.-T. Liang, Phys. Rev. D 79, 114022 (2009).
- W. Vogelsang and F. Yuan, Phys. Rev. D 79, 094010 (2009).
- V. M. Braun, A. N. Manashov, and B. Pirnay, Phys. Rev. D 80, 114002 (2009); 86, 119902(E) (2012).
- J. P. Ma and H. Z. Sang, J. High Energy Phys. 04 (2011) 062.
- A. Schafer and J. Zhou, Phys. Rev. D 85, 117501 (2012).
- J. P. Ma and Q. Wang, Phys. Lett. B 715, 157 (2012).
- Z.-B. Kang and J.-W. Qiu, Phys. Lett. B 713, 273 (2012).
- P. Sun and F. Yuan, Phys. Rev. D 88, 114012 (2013).
- J. Zhou, Phys. Rev. D 92, 074016 (2015).
- O. del Rio, A. Prokudin, I. Scimemi, and A. Vladimirov, Phys. Rev. D 110, 016003 (2024).
The total integrated luminosity combines data from the 2017 RHIC run ( with polarization ) and the 2022 run ( with ). An effective polarization of is used in our calculation.
- D. Kang, C. Lee, and I. W. Stewart, Phys. Rev. D 88, 054004 (2013).
- P. Nadel-Turonski, Acta Phys. Pol. B Proc. Suppl. 18, 1 (2025).
- P. Bijl, S. Niedenzu, and W. J. Waalewijn, Phys. Rev. D 109, 014011 (2024).
- J. Collins and T. Rogers, Phys. Rev. D 91, 074020 (2015).