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Charge asymmetry in the process e+e−→π+π−π0γ

I. V. Obraztsov1,2,*, A. S. Rudenko1,2,†, and A. I. Milstein1,2,‡

  • *Contact author: ivanqwicliv2@gmail.com
  • †Contact author: a.s.rudenko@inp.nsk.su
  • ‡Contact author: a.i.milstein@inp.nsk.su
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Phys. Rev. D 112, 094028 – Published 17 November, 2025

DOI: https://doi.org/10.1103/psds-bpnj

Abstract

The charge asymmetry in the process e+e−→π+π−π0γ is studied for photons with energies ν≪s. The longitudinal polarization of electrons (positrons) is taken into account. The asymmetry arises due to interference of the amplitudes for production of pion states with opposite C parities. The contribution of the a10(1260) meson in the intermediate state to the charge asymmetry is discussed. This contribution is not the leading one, however it is not negligible. It is shown that the charge asymmetry can reach several tens of percent.

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References (48)

  1. L. D. Landau, Collected Papers of L.D. Landau (Elsevier, Amsterdam, 1965), p. 471.
  2. C. N. Yang, Phys. Rev. 77, 242 (1950).
  3. M. N. Achasov et al. (SND Collaboration), Phys. Lett. B 800, 135074 (2020).
  4. A. I. Milstein and A. S. Rudenko, Phys. Lett. B 800, 135117 (2020).
  5. S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
  6. P. Gavillet et al. (Amsterdam-CERN-Nijmegen-Oxford Collaboration), Phys. Lett. 69B, 119 (1977).
  7. C. Daum et al. (ACCMOR Collaboration), Nucl. Phys. B182, 269 (1981).
  8. R. S. Longacre, Phys. Rev. D 26, 82 (1982).
  9. J. A. Dankowych, P. Brockman, K. W. Edwards, J. Gandsman, D. Legacey, R. S. Longacre, J. F. Martin, P. M. Patel, A. J. Pawlicki, J. D. Prentice et al., Phys. Rev. Lett. 46, 580 (1981).
  10. M. Zielinski, D. Berg, C. Chandlee, S. Cihangir, T. Ferbel, J. Huston, T. Jensen, F. Lobkowicz, T. Ohshima, P. Slattery et al., Phys. Rev. Lett. 52, 1195 (1984).
  11. T. A. Armstrong et al. (WA76 Collaboration), Z. Phys. C 48, 213 (1990).
  12. A. Ando, K. Imai, S. Inaba, T. Inagaki, Y. Inagaki, A. Itano, S. Kobayashi, A. Murakami, T. Nakamura and K. Ohmi et al., Phys. Lett. B 291, 496 (1992).
  13. D. Barberis et al. (WA102 Collaboration), Phys. Lett. B 422, 399 (1998).
  14. D. Barberis et al. (WA102 Collaboration), Phys. Lett. B 507, 14 (2001).
  15. S. U. Chung et al. (E852 Collaboration), Phys. Rev. D 65, 072001 (2002).
  16. A. Drutskoy et al. (Belle Collaboration), Phys. Lett. B 542, 171 (2002).
  17. P. Salvini et al. (OBELIX Collaboration), Eur. Phys. J. C 35, 21 (2004).
  18. J. M. Link et al. (FOCUS Collaboration), Phys. Rev. D 75, 052003 (2007).
  19. M. Alekseev et al. (COMPASS Collaboration), Phys. Rev. Lett. 104, 241803 (2010).
  20. P. d’Argent, N. Skidmore, J. Benton, J. Dalseno, E. Gersabeck, S. Harnew, P. Naik, C. Prouve, and J. Rademacker, J. High Energy Phys. 05 (2017) 143.
  21. R. Aaij et al. (LHCb Collaboration), Eur. Phys. J. C 78, 443 (2018).
  22. M. Aghasyan et al. (COMPASS Collaboration), Phys. Rev. D 98, 092003 (2018).
  23. G. D. Alexeev et al. (COMPASS Collaboration), Phys. Rev. Lett. 127, 082501 (2021).
  24. W. Ruckstuhl et al. (DELCO Collaboration), Phys. Rev. Lett. 56, 2132 (1986).
  25. H. Albrecht et al. (ARGUS Collaboration), Z. Phys. C 33, 7 (1986).
  26. W. B. Schmidke, G. S. Abrams, C. Matteuzzi, D. Amidei, A. R. Baden, T. Barklow, A. Boyarski, J. Boyer, M. Breidenbach, P. Burchat et al., Phys. Rev. Lett. 57, 527 (1986).
  27. N. A. Tornqvist, Z. Phys. C 36, 695 (1987).
  28. H. R. Band et al. (MAC Collaboration), Phys. Lett. B 198, 297 (1987).
  29. N. Isgur, C. Morningstar, and C. Reader, Phys. Rev. D 39, 1357 (1989).
  30. M. G. Bowler, Phys. Lett. B 209, 99 (1988).
  31. Y. P. Ivanov, A. A. Osipov, and M. K. Volkov, Z. Phys. C 49, 563 (1991).
  32. H. Albrecht et al. (ARGUS Collaboration), Z. Phys. C 58, 61 (1993).
  33. K. Ackerstaff et al. (OPAL Collaboration), Z. Phys. C 75, 593 (1997).
  34. P. Abreu et al. (DELPHI Collaboration), Phys. Lett. B 426, 411 (1998).
  35. D. M. Asner et al. (CLEO Collaboration), Phys. Rev. D 61, 012002 (2000).
  36. R. Barate et al. (ALEPH Collaboration), Eur. Phys. J. C 11, 599 (1999).
  37. A. E. Bondar, S. I. Eidelman, A. I. Milstein, and N. I. Root, Phys. Lett. B 466, 403 (1999).
  38. D. Gomez Dumm, A. Pich, and J. Portoles, Phys. Rev. D 69, 073002 (2004).
  39. T. E. Coan et al. (CLEO Collaboration), Phys. Rev. Lett. 92, 232001 (2004).
  40. M. Mikhasenko et al. (JPAC Collaboration), Phys. Rev. D 98, 096021 (2018).
  41. R. R. Akhmetshin et al. (CMD-2 Collaboration), Phys. Lett. B 466, 392 (1999).
  42. B. Aubert et al. (BABAR Collaboration), Phys. Rev. D 76, 092005 (2007); 77, 119902(E) (2008).
  43. I. V. Obraztsov, A. S. Rudenko, and A. I. Milstein, Phys. Rev. D 110, 094003 (2024).
  44. J. P. Lees et al. (BABAR Collaboration), Phys. Rev. D 98, 112015 (2018).
  45. V. P. Druzhinin, S. I. Eidelman, S. I. Serednyakov, and E. P. Solodov, Rev. Mod. Phys. 83, 1545 (2011).
  46. V. V. Sudakov, Sov. Phys. JETP 3, 65 (1956), http://jetp.ras.ru/cgi-bin/e/index/e/3/1/p65?a=list.
  47. H. H. Patel, Comput. Phys. Commun. 197, 276 (2015).
  48. H. H. Patel, Comput. Phys. Commun. 218, 66 (2017).

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Phys. Rev. D 112, 094028– Published 17 November, 2025
  • Received 4 September 2025
  • Accepted 28 October 2025
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