- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access
  • Access by Xinjiang University

Contribution of hadronic light-by-light scattering to the hyperfine structure of muonium

V. I. Korobov

A. V. Eskin, A. P. Martynenko, and F. A. Martynenko

  • BLTP JINR, Dubna 141980, Russia and Samara University, Samara 443086, Russia

  • Samara University, Samara 443086, Russia

PDF

Phys. Rev. D 108, 113003 – Published 8 December, 2023

DOI: https://doi.org/10.1103/PhysRevD.108.113003

Abstract

The contribution of hadronic scattering of light by light to the hyperfine structure of muonium is calculated using experimental data on the transition form factors of two photons into a hadron. The amplitudes of interaction between a muon and an electron with horizontal and vertical exchange are constructed. The contributions due to the exchange of pseudoscalar, axial vector, scalar, and tensor mesons are taken into account.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (52)

  1. M. I. Eides, H. Grotch, and V. A. Shelyuto, Phys. Rep. 342, 63 (2001).
  2. M. I. Eides and V. A. Shelyuto, Phys. Lett. B 844, 138087 (2023).
  3. S. G. Karshenboim and E. Yu. Korzinin, Phys. Rev. A 103, 022805 (2021).
  4. M. I. Eides and V. A. Shelyuto, Phys. Rev. D 92, 013010 (2015).
  5. F. Jegerlehner, The Anomalous Magnetic Moment of the Muon, 2nd ed., Springer Tracts in Modern Physics Vol. 274 (Springer International Publishing AG, New York, 2017), 10.1007/978-3-319-63577-4.
  6. A. E. Radzhabov, A. S. Zhevlakov, A. P. Martynenko, and F. A. Martynenko, Phys. Rev. D 108, 014033 (2023).
  7. F. V. Ignatov et al. (CMD-3 Collaboration), arXiv:2302.08834.
  8. P. Crivelli, Hyperfine Interact. 239, 49 (2018).
  9. B. Ohayon, G. Janka, I. Cortinovis et al., Phys. Rev. Lett. 128, 011802 (2022).
  10. S. Kanda, Y. Fukao, and Y. Ikedo, Phys. Lett. B 815, 136154 (2021).
  11. W. Liu, M. G. Boshier, S. Dhawan, O. van Dyck, P. Egan, X. Fei et al., Phys. Rev. Lett. 82, 711 (1999).
  12. M. Eides, Phys. Lett. B 795, 113 (2019).
  13. R. Iwai, M. Abe, S. Fukumura et al., J. Phys. Conf. Ser. 2462, 012019 (2023).
  14. R. N. Faustov and A. P. Martynenko, Phys. Lett. B 541, 135 (2002).
  15. S. G. Karshenboim, V. A. Shelyuto, and A. I. Vainshtein, Phys. Rev. D 78, 065036 (2008).
  16. A. E. Dorokhov, N. I. Kochelev, A. P. Martynenko, F. A. Martynenko, and A. E. Radzhabov, Phys. Lett. B 776, 105 (2018).
  17. A. E. Dorokhov, N. I. Kochelev, A. P. Martynenko, F. A. Martynenko, and R. N. Faustov, Phys. Part. Nucl. Lett. 14, 857 (2017).
  18. A. E. Dorokhov, A. P. Martynenko, F. A. Martynenko, and A. E. Radzhabov, Phys. Part. Nucl. Lett. 16, 520 (2019).
  19. A. E. Dorokhov, A. P. Martynenko, F. A. Martynenko, and A. E. Radzhabov, EPJ Web Conf. 222, 03010 (2019).
  20. A. E. Dorokhov, A. P. Martynenko, F. A. Martynenko, and A. E. Radzhabov, J. Phys. Conf. Ser. 1435, 012004 (2020).
  21. A. Miranda, P. Roig, and P. Sanchez-Puertas, Phys. Rev. D 105, 016017 (2022).
  22. F. Hagelstein and V. Pascalutsa, Proc. Sci. CD15 (2016) 077.
  23. H.-Q. Zhou and H.-R. Pang, Phys. Rev. A 92, 032512 (2015).
  24. N. T. Huong, E. Kou, and B. Moussallam, Phys. Rev. D 93, 114005 (2016).
  25. A. Antognini, F. Kottmann, F. Biraben, P. Indelicato, F. Nez, and R. Pohl, Ann. Phys. (Amsterdam) 331, 127 (2013).
  26. J. Krauth, M. Diepold, B. Franke, A. Antognini, F. Kottmann, and R. Pohl, Ann. Phys. (Amsterdam) 366, 168 (2016).
  27. M. Diepold, B. Franke, J. J. Krauth, A. Antognini, F. Kottmann, and R. Pohl, Ann. Phys. (Amsterdam) 396, 220 (2018).
  28. J. J. Krauth, K. Schuhmann, M. A. Ahmed et al., Nature (London) 589, 527 (2021).
  29. A. Antognini, F. Hagelstein, and V. Pascalutsa, Annu. Rev. Nucl. Part. Sci. 72, 389 (2022).
  30. C. Pizzolotto, A. Adamczak, D. Bakalov, G. Baldazzi, and M. Baruzzo, Eur. Phys. J. A 56, 185 (2020).
  31. M. Stoilov, A. Adamczak, D. Bakalov, P. Danev, E. Mocchiutti, C. Pizzolotto et al., Phys. Rev. A 107, 032823 (2023).
  32. R. N. Cahn, Phys. Rev. D 35, 3342 (1987).
  33. P. Achard et al. (L3 Collaboration), Phys. Lett. B 526, 269 (2002).
  34. L3 Collaboration, J. High Energy Phys. 03 (2007) 018.
  35. H. Aihara et al., Phys. Rev. D 38, 1 (1988).
  36. A. E. Dorokhov, A. E. Radzhabov, and A. S. Zhevlakov, Eur. Phys. J. C 71, 1702 (2011).
  37. A. E. Dorokhov, A. E. Radzhabov, and A. S. Zhevlakov, Eur. Phys. J. C 72, 2227 (2012).
  38. P. Lebiedowicz and A. Szczurek, Phys. Lett. B 772, 330 (2017).
  39. R. L. Workman et al. (Particle Data Group), Prog. Theor. Exp. Phys. 2022, 083C01 (2022).
  40. V. Pauk and M. Vanderhaeghen, Eur. Phys. J. C 74, 3008 (2014).
  41. H. Q. Zhou, Phys. Rev. C 95, 025203 (2017).
  42. D. Borisyuk, Phys. Rev. C 96, 055201 (2017).
  43. M. K. Volkov, E. A. Kuraev, and Yu. M. Bystritskiy, Phys. At. Nucl. 73, 443 (2010).
  44. F. Giacosa, Th. Gutsche, and V. E. Lyubovitskij, Phys. Rev. D 77, 034007 (2008).
  45. I. Larin, D. McNulty, E. Clinton et al., Phys. Rev. Lett. 106, 162303 (2011).
  46. D. Babusci, D. Badoni, I. Balwierz-Pytko et al. (The KLOE-2 Collaboration), J. High Energy Phys. 01 (2013) 119.
  47. J. Gronberg et al. (CLEO Collaboration), Phys. Rev. D 57, 33 (1998).
  48. J. P. Lees et al. (BABAR Collaboration), Phys. Rev. D 98, 112002 (2018).
  49. S. Uehara et al. (Belle Collaboration), Phys. Rev. D 86, 092007 (2012).
  50. J. Bijnens and F. Persson, arXiv:hep-ph/0106130.
  51. Th. Feldmann, P. Kroll, and B. Stech, Phys. Rev. D 58, 114006 (1998).
  52. M. R. Pennington, T. Mori, S. Uehara, and Y. Watanabe, Eur. Phys. J. C 56, 1 (2008).

Outline

Information

Phys. Rev. D 108, 113003– Published 8 December, 2023
  • Received 3 August 2023
  • Accepted 9 November 2023
Crossmark - Check for updates button
Creative Commons Logo

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation