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Soft-photon contribution into two-photon exchange corrections for azimuthal asymmetries of SIDIS

Stinson Lee and Andrei Afanasev

Phys. Rev. D 111, 113008 – Published 27 June, 2025

DOI: https://doi.org/10.1103/4pwj-vp5p

Abstract

It is demonstrated that two-photon exchange (TPE) corrections to the cross-section of unpolarized semi-inclusive deep-inelastic scattering generate azimuthal-dependent terms and the corresponding ⟨cos(nϕ)⟩ moments. A quark-diquark model of a nucleon was used in the calculations along with a soft-photon approximation. The infrared divergences in the intermediate steps of calculation are regularized with the fictitious photon mass that cancels out in the final result when the soft-photon bremsstrahlung process and interference terms are added. The calculations employ the Mathematica looptools package to evaluate the loop integrals. TPE corrections are analyzed in the kinematics of planned experiments at Jefferson Lab.

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References (36)

  1. P. Achenbach, D. Adhikari, A. Afanasev, F. Afzal, C. Aidala, A. Al-Bataineh, D. Almaalol, M. Amaryan, D. Androić, W. Armstrong et al., Nucl. Phys. A1047, 122874 (2024).
  2. E. C. Aschenauer, I. Borsa, R. Sassot, and C. Van Hulse, Phys. Rev. D 99, 094004 (2019).
  3. A. Accardi, J. L. Albacete, M. Anselmino, N. Armesto, E. C. Aschenauer, and A. Bacchetta, Eur. Phys. J. A 52, 268 (2016).
  4. A. Accardi, P. Achenbach, D. Adhikari, A. Afanasev, C. Akondi, N. Akopov, M. Albaladejo, H. Albataineh, M. Albrecht, B. Almeida-Zamora et al., Eur. Phys. J. A 60, 173 (2024).
  5. A. Afanasev, P. Blunden, D. Hasell, and B. Raue, Prog. Part. Nucl. Phys. 95, 245 (2017).
  6. A. Afanasev, J. C. Bernauer, P. Blunden, J. Blümlein, E. W. Cline, J. M. Friedrich, F. Hagelstein, T. Husek, M. Kohl, F. Myhrer et al., Eur. Phys. J. A 60, 91 (2024).
  7. A. Afanasev, A. Aleksejevs, and S. Barkanova, Phys. Rev. D 88, 053008 (2013).
  8. H.-Y. Cao and H.-Q. Zhou, Phys. Rev. C 101, 055201 (2020).
  9. I. Akushevich, N. Shumeiko, and A. Soroko, Eur. Phys. J. C 10, 681 (1999).
  10. I. Akushevich, A. Ilyichev, and M. Osipenko, Phys. Lett. B 672, 35 (2009).
  11. S. J. Brodsky, D. S. Hwang, and I. Schmidt, Phys. Lett. B 530, 99 (2002).
  12. A. V. Afanasev and C. E. Carlson, Phys. Rev. D 74, 114027 (2006).
  13. A. Bacchetta et al., J. High Energy Phys. 08 (2008) 023.
  14. J. Collins, Foundations of Perturbative QCD (Cambridge University Press, Cambridge, England, 2011).
  15. J. Collins and T. C. Rogers, Phys. Rev. D 96, 054011 (2017).
  16. F. E. Low, Phys. Rev. 96, 1428 (1954).
  17. M. Gell-Mann and M. Goldberger, Phys. Rev. 96, 1433 (1954).
  18. F. Low, Phys. Rev. 110, 974 (1958).
  19. S. Saito, Phys. Rev. 184, 1894 (1969).
  20. Y. Tsai, Phys. Rev. 122, 1898 (1961).
  21. L. Maximon and J. Tjon, Phys. Rev. C 62, 054320 (2000).
  22. G. Passarino and M. Veltman, Nucl. Phys. B 160, 151 (1979).
  23. E. A. Kuraev, V. V. Bytev, Y. M. Bystritskiy, and E. Tomasi-Gustafsson, Phys. Rev. D 74, 013003 (2006).
  24. A. V. Afanasev, S. J. Brodsky, C. E. Carlson, Y.-C. Chen, and M. Vanderhaeghen, Phys. Rev. D 72, 013008 (2005).
  25. M. Gourdin, Nucl. Phys. B49, 501 (1972).
  26. R. N. Cahn, Phys. Lett. 78B, 269 (1978).
  27. D. Boer, P. Mulders, and F. Pijlman, Nucl. Phys. B667, 201 (2003).
  28. R. Boussarie, M. Burkardt, M. Constantinou, W. Detmold, M. Ebert, M. Engelhardt, S. Fleming, L. Gamberg, X. Ji, Z.-B. Kang et al., arXiv:2304.03302.
  29. H. Avakian et al., Jefferson Lab Experiment E12-16-010C, 2023, https://www.jlab.org/exp_prog/proposals/23/E12-16-010C.pdf.
  30. R. Capobianco, Bull. Am. Phys. Soc. 68 (2023), https://ui.adsabs.harvard.edu/abs/2023APS..APRW02007C.
  31. H. Avakian et al., Jefferson Lab Experiment E12-06-112, 2006, https://www.jlab.org/exp_prog/proposals/06/PR12-06-112.pdf.
  32. A. Bacchetta, V. Bertone, C. Bissolotti, G. Bozzi, M. Cerutti, F. Piacenza, M. Radici, and A. Signori, J. High Energy Phys. 01, 127 (2022).
  33. A. Airapetian, N. Akopov, Z. Akopov, E. Aschenauer, W. Augustyniak, R. Avakian, A. Avetissian, E. Avetisyan, S. Belostotski, H. Blok et al., Phys. Rev. D 87, 012010 (2013).
  34. C. Adolph, R. Akhunzyanov, M. Alexeev, Y. Alexandrov, G. Alexeev, A. Amoroso, V. Andrieux, V. Anosov, A. Austregesilo, B. Badełek et al., Nucl. Phys. B886, 1046 (2014).
  35. J. Agarwala et al., Nucl. Phys. B956, 115039 (2020).
  36. A. Accardi, A. Afanasev, I. Albayrak, S. Ali, M. Amaryan, J. Annand, J. Arrington, A. Asaturyan, H. Atac, H. Avakian et al., Eur. Phys. J. A 57, 261 (2021).

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