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Constraints on the odderon amplitude in the color glass condensate framework

M. Roa1,2,*, M. Siddikov1,3,†, Y. Gentile2,‡, and I. Zemlyakov1,4,§

  • *Contact author: michael.roa@upla.cl
  • †Contact author: marat.siddikov@usm.cl
  • ‡Contact author: yanil.garrido@alumnos.upla.cl
  • §Contact author: izemlyakov@usm.cl

Phys. Rev. D 114, 034015 – Published 10 August, 2026

DOI: https://doi.org/10.1103/9kg5-3t22

Abstract

In this manuscript, we analyze the elastic pp and pp¯ cross section in the color glass condensate framework, treating them as a dilute-dense system, and derive the phenomenological constraints (upper bounds) on the odderon-mediated part of the dipole scattering amplitude O(Y,r,b). For our analysis, we used the experimental data available from TOTEM-D0 and ISR Collaborations and constructed a combination of the cross sections which is directly proportional to the odderon-mediated part of the amplitude. This allows one to suppress possible uncertainties associated with charge-parity even part of the amplitude. We analyze two phenomenological parametrizations of odderons and demonstrate that, after minor adjustments to the global normalization, they can describe the experimental data reasonably well, although due to large experimental uncertainties the odderon amplitude remains loosely constrained.

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References (67)

  1. L. Lukaszuk and B. Nicolescu, Lett. Nuovo Cimento 8, 405 (1973).
  2. P. Gauron, L. Lukaszuk, and B. Nicolescu, Phys. Lett. B 294, 298 (1992).
  3. Y. V. Kovchegov and E. Levin, Cambridge Monogr. Part. Phys., Nucl. Phys., Cosmol. 33, 1 (2012).
  4. C. Ewerz, arXiv:hep-ph/0306137.
  5. J. Bartels, L. N. Lipatov, and G. P. Vacca, Phys. Lett. B 477, 178 (2000).
  6. J. Bartels, Nucl. Phys. B175, 365 (1980).
  7. J. Kwiecinski and M. Praszalowicz, Phys. Lett. 94B, 413 (1980).
  8. H. G. Dosch and Y. A. Simonov, Phys. Lett. B 205, 339 (1988).
  9. R. C. Brower, M. Djuric, and C. I. Tan, J. High Energy Phys. 07 (2009) 063.
  10. A. Kovner and M. Lublinsky, J. High Energy Phys. 02 (2007) 058.
  11. Y. V. Kovchegov, L. Szymanowski, and S. Wallon, Phys. Lett. B 586, 267 (2004).
  12. Y. Hatta, E. Iancu, K. Itakura, and L. McLerran, Nucl. Phys. A760, 172 (2005).
  13. G. Antchev et al. (TOTEM Collaboration), Eur. Phys. J. C 79, 103 (2019).
  14. G. Antchev et al. (TOTEM Collaboration), Eur. Phys. J. C 79, 785 (2019).
  15. G. Antchev et al. (TOTEM Collaboration), Eur. Phys. J. C 79, 861 (2019).
  16. S. Benić, D. Horvatić, A. Kaushik, and E. A. Vivoda, Phys. Rev. D 108, 074005 (2023).
  17. E. Martynov and B. Nicolescu, Phys. Lett. B 778, 414 (2018).
  18. V. M. Abazov et al. (D0 and TOTEM Collaborations), Phys. Rev. Lett. 127, 062003 (2021).
  19. V. M. Abazov et al. (D0 Collaboration), Phys. Rev. D 86, 012009 (2012).
  20. G. Antchev et al. (TOTEM Collaboration), Eur. Phys. J. C 80, 91 (2020).
  21. T. Cs rgő, T. Nov k, R. Pasechnik, A. Ster, and I. Szanyi, Universe 10, 264 (2024).
  22. G. Aad et al. (ATLAS Collaboration), Eur. Phys. J. C 83, 441 (2023).
  23. X. Yao, Y. Hagiwara, and Y. Hatta, Phys. Lett. B 790, 361 (2019).
  24. G. P. Lepage and S. J. Brodsky, Phys. Rev. D 22, 2157 (1980).
  25. S. J. Brodsky, H. C. Pauli, and S. S. Pinsky, Phys. Rep. 301, 299 (1998).
  26. A. Dumitru and T. Stebel, Phys. Rev. D 99, 094038 (2019).
  27. S. J. Brodsky and F. Schlumpf, Phys. Lett. B 329, 111 (1994).
  28. F. Schlumpf, Phys. Rev. D 48, 4478 (1993).
  29. F. Schlumpf, Phys. Rev. D 47, 4114 (1993); 49, 6246(E) (1994).
  30. M. Gell-Mann, Phys. Lett. 8, 214 (1964).
  31. M. Ida and R. Kobayashi, Prog. Theor. Phys. 36, 846 (1966).
  32. D. B. Lichtenberg and L. J. Tassie, Phys. Rev. 155, 1601 (1967).
  33. S. Navas et al. (Particle Data Group Collaboration), Phys. Rev. D 110, 030001 (2024).
  34. G. F. de Teramond et al. (HLFHS Collaboration), Phys. Rev. Lett. 120, 182001 (2018).
  35. S. J. Brodsky, G. F. de Teramond, H. G. Dosch, and J. Erlich, Phys. Rep. 584, 1 (2015).
  36. S. J. Brodsky, G. F. de Teramond, H. G. Dosch, and C. Lorc, Phys. Lett. B 759, 171 (2016).
  37. C. Contreras, E. Levin, R. Meneses, and M. Sanhueza, Phys. Rev. D 101, 096019 (2020).
  38. F. D. Aaron et al. (H1 and ZEUS Collaborations), J. High Energy Phys. 01 (2010) 109.
  39. A. H. Rezaeian and I. Schmidt, Phys. Rev. D 88, 074016 (2013).
  40. A. H. Rezaeian, M. Siddikov, M. Van de Klundert, and R. Venugopalan, Phys. Rev. D 87, 034002 (2013).
  41. S. Jeon and R. Venugopalan, Phys. Rev. D 71, 125003 (2005).
  42. M. Roa, J. Garrido, and M. Guevara, Phys. Rev. D 110, 074006 (2024).
  43. C. Contreras, E. Levin, and M. Sanhueza, Phys. Rev. D 104, 116020 (2021).
  44. E. G. S. Luna, M. G. Ryskin, and V. A. Khoze, Phys. Rev. D 110, 014002 (2024).
  45. V. A. Khoze, A. D. Martin, and M. G. Ryskin, Phys. Lett. B 784, 192 (2018).
  46. M. Broilo, D. A. Fagundes, E. G. S. Luna, and M. Pel ez, Phys. Rev. D 103, 014019 (2021).
  47. E. Gotsman, E. Levin, and I. Potashnikova, Phys. Rev. D 101, 094021 (2020).
  48. Y. Hagiwara, Y. Hatta, R. Pasechnik, and J. Zhou, Eur. Phys. J. C 80, 427 (2020).
  49. I. Balitsky and A. V. Grabovsky, J. High Energy Phys. 01 (2015) 009.
  50. A. Kormilitzin and E. Levin, arXiv:0809.3886.
  51. C. Contreras, E. Levin, and M. Sanhueza, Phys. Rev. D 106, 034011 (2022).
  52. C. Flensburg, G. Gustafson, and L. Lonnblad, Eur. Phys. J. C 60, 233 (2009).
  53. N. H. Buttimore, E. Gotsman, and E. Leader, Phys. Rev. D 18, 694 (1978); 35, 407(E) (1987).
  54. M. K. Jones et al. (Jefferson Lab Hall A Collaboration), Phys. Rev. Lett. 84, 1398 (2000).
  55. H. A. Bethe, Ann. Phys. (N.Y.) 3, 190 (1958).
  56. G. B. West and D. R. Yennie, Phys. Rev. 172, 1413 (1968).
  57. E. Gotsman, E. Levin, and I. Potashnikova, Phys. Lett. B 786, 472 (2018).
  58. J. B. Bronzan, G. L. Kane, and U. P. Sukhatme, Phys. Lett. 49B, 272 (1974).
  59. E. Gotsman, E. M. Levin, and U. Maor, Z. Phys. C 57, 677 (1993).
  60. N. Amos et al., Nucl. Phys. B262, 689 (1985).
  61. A. Breakston et al., Phys. Rev. Lett. 54, 2180 (1985).
  62. Z. F. Cui, D. Binosi, C. D. Roberts, S. M. Schmidt, and D. N. Triantafyllopoulos, Phys. Lett. B 839, 137826 (2023).
  63. S. Benić, A. Dumitru, A. Kaushik, L. Motyka, and T. Stebel, Phys. Rev. D 110, 014025 (2024).
  64. C. Adloff et al. (H1 Collaboration), Phys. Lett. B 544, 35 (2002).
  65. T. Lappi, A. Ramnath, K. Rummukainen, and H. Weigert, Phys. Rev. D 94, 054014 (2016).
  66. J. Berntsen, T. O. Espelid, and A. Genz, ACM Trans. Math. Softw. 17, 437 (1991).
  67. See Supplemental Material at http://link.aps.org/supplemental/10.1103/9kg5-3t22 for tabulated data and the file README.txt in that section for more details.

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