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Constraints on axionlike particles using lattice QCD calculations of the rate for J/ψ→γa

Brian Colquhoun1,*, Christine T. H. Davies1,†, G. Peter Lepage2, and Sophie Renner1,‡ (HPQCD Collaboration§)

  • *Contact author: Brian.Colquhoun@glasgow.ac.uk
  • †Contact author: Christine.Davies@glasgow.ac.uk
  • ‡Contact author: Sophie.Renner@glasgow.ac.uk
  • §https://www.physics.gla.ac.uk/hpqcd/.
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Phys. Rev. D 111, 114513 – Published 17 June, 2025

DOI: https://doi.org/10.1103/ldzk-b81n

Abstract

A key search mode for axionlike particles (ALPs) that couple to charm quarks is J/ψ→γa. Here we calculate the form factor that allows the rate of this process to be determined using lattice QCD for the first time. Our calculations use the relativistic highly improved staggered quark (HISQ) action for the valence charm quarks on gluon field configurations generated by the MILC collaboration that include u, d, s and c HISQ quarks in the sea at four values of the lattice spacing and both unphysical and physical sea quark masses. We determine the form factor as a function of ALP mass with an uncertainty of less than 2% across our full range of ALP masses from zero up to 95% of the J/ψ mass. This represents a substantial improvement in accuracy of the theoretical picture of this decay compared to the previously used tree-level and O(αs) perturbation theory. We use our form factor to determine constraints on ALP masses and couplings to charm quarks and photons in several different scenarios using recent experimental data from BESIII. Our calculation paves the way for further lattice QCD input on new physics constraints from radiative decays.

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References (54)

  1. R. D. Peccei and H. R. Quinn, Phys. Rev. Lett. 38, 1440 (1977).
  2. R. D. Peccei and H. R. Quinn, Phys. Rev. D 16, 1791 (1977).
  3. S. Weinberg, Phys. Rev. Lett. 40, 223 (1978).
  4. F. Wilczek, Phys. Rev. Lett. 40, 279 (1978).
  5. S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
  6. C. O’Hare, cajohare/axionlimits: Axionlimits, https://cajohare.github.io/AxionLimits/ (2020).
  7. M. Bauer, M. Neubert, and A. Thamm, J. High Energy Phys. 12 (2017) 044.
  8. E. Izaguirre, T. Lin, and B. Shuve, Phys. Rev. Lett. 118, 111802 (2017).
  9. M. B. Gavela, R. Houtz, P. Quilez, R. Del Rey, and O. Sumensari, Eur. Phys. J. C 79, 369 (2019).
  10. M. Bauer, M. Neubert, S. Renner, M. Schnubel, and A. Thamm, J. High Energy Phys. 09 (2022) 056.
  11. M. Ablikim et al. (BESIII Collaboration), Phys. Lett. B 838, 137698 (2023).
  12. L. Merlo, F. Pobbe, S. Rigolin, and O. Sumensari, J. High Energy Phys. 06 (2019) 091.
  13. L. Di Luzio, A. W. M. Guerrera, X. Ponce Díaz, and S. Rigolin, J. High Energy Phys. 06 (2024) 217.
  14. P. Nason, Phys. Lett. B 175, 223 (1986).
  15. A. Carmona, C. Scherb, and P. Schwaller, J. High Energy Phys. 08 (2021) 121.
  16. J. J. Dudek, R. G. Edwards, and D. G. Richards, Phys. Rev. D 73, 074507 (2006).
  17. F. Wilczek, Phys. Rev. Lett. 39, 1304 (1977).
  18. R. Barbieri, R. Gatto, R. Kogerler, and Z. Kunszt, Phys. Lett. B 57, 455 (1975).
  19. D. Hatton, C. T. H. Davies, B. Galloway, J. Koponen, G. P. Lepage, and A. T. Lytle (HPQCD Collaboration), Phys. Rev. D 102, 054511 (2020).
  20. J. Polchinski, S. R. Sharpe, and T. Barnes, Phys. Lett. 148B, 493 (1984).
  21. J. T. Pantaleone, M. E. Peskin, and S. H. H. Tye, Phys. Lett. 149B, 225 (1984).
  22. B. Colquhoun, C. T. H. Davies, and G. P. Lepage (HPQCD Collaboration), arXiv:2410.24041.
  23. J. J. Dudek and R. G. Edwards, Phys. Rev. Lett. 97, 172001 (2006).
  24. B. Colquhoun, L. J. Cooper, C. T. H. Davies, and G. P. Lepage (HPQCD Collaboration), Phys. Rev. D 108, 014513 (2023).
  25. E. Follana, Q. Mason, C. Davies, K. Hornbostel, G. P. Lepage, J. Shigemitsu, H. Trottier, and K. Wong (HPQCD, UKQCD Collaborations), Phys. Rev. D 75, 054502 (2007).
  26. C. Monahan, J. Shigemitsu, and R. Horgan, Phys. Rev. D 87, 034017 (2013).
  27. A. Bazavov et al. (MILC Collaboration), Phys. Rev. D 82, 074501 (2010).
  28. A. Bazavov et al. (MILC Collaboration), Phys. Rev. D 87, 054505 (2013).
  29. S. Borsányi, S. Dürr, Z. Fodor, C. Hoelbling, S. D. Katz, S. Krieg, T. Kurth, L. Lellouch, T. Lippert, and C. McNeile (BMW Collaboration), J. High Energy Phys. 09 (2012) 010.
  30. R. J. Dowdall, C. T. H. Davies, G. P. Lepage, and C. McNeile (HPQCD Collaboration), Phys. Rev. D 88, 074504 (2013).
  31. C. T. Sachrajda and G. Villadoro, Phys. Lett. B 609, 73 (2005).
  32. D. Guadagnoli, F. Mescia, and S. Simula, Phys. Rev. D 73, 114504 (2006).
  33. X.-d. Ji and C.-w. Jung, Phys. Rev. Lett. 86, 208 (2001).
  34. X.-d. Ji and C.-w. Jung, Phys. Rev. D 64, 034506 (2001).
  35. G. P. Lepage, Corrfitter Version 8.2 10.5281/zenodo.5733391 (github.com/gplepage/corrfitter).
  36. D. Hatton, C. T. H. Davies, G. P. Lepage, and A. T. Lytle (HPQCD Collaboration), Phys. Rev. D 100, 114513 (2019).
  37. D. Hatton, C. T. H. Davies, J. Koponen, G. P. Lepage, and A. T. Lytle (HPQCD Collaboration), Phys. Rev. D 103, 054512 (2021).
  38. M. Steffen, Astron. Astrophys. 239, 443 (1990), https://ui.adsabs.harvard.edu/abs/1990A&A...239..443S.
  39. G. P. Lepage, avar Version 13.1.6, 10.5281/zenodo.15132844 (github.com/gplepage/gvar).
  40. B. Chakraborty, C. T. H. Davies, B. Galloway, P. Knecht, J. Koponen, G. C. Donald, R. J. Dowdall, G. P. Lepage, and C. McNeile (HPQCD Collaboration), Phys. Rev. D 91, 054508 (2015).
  41. E. McLean, C. T. H. Davies, A. T. Lytle, and J. Koponen (HPQCD Collaboration), Phys. Rev. D 99, 114512 (2019).
  42. A. Bazavov et al., Phys. Rev. D 98, 074512 (2018).
  43. G. P. Lepage, lsqfit Version 13.2.4, 10.5281/zenodo.14560123 (github.com/gplepage/lsqfit).
  44. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ldzk-b81n for a list of the calculated values of the form factor F˜ as a function of X.
  45. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 105, 012008 (2022).
  46. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 101, 112005 (2020).
  47. M. Spira, A. Djouadi, D. Graudenz, and P. M. Zerwas, Nucl. Phys. B453, 17 (1995).
  48. K. Choi, S. H. Im, C. B. Park, and S. Yun, J. High Energy Phys. 11 (2017) 070.
  49. M. Chala, G. Guedes, M. Ramos, and J. Santiago, Eur. Phys. J. C 81, 181 (2021).
  50. M. Bauer, M. Neubert, S. Renner, M. Schnubel, and A. Thamm, J. High Energy Phys. 04 (2021) 063.
  51. K. G. Chetyrkin, B. A. Kniehl, M. Steinhauser, and W. A. Bardeen, Nucl. Phys. B535, 3 (1998).
  52. J. A. Gallo, A. W. M. Guerrera, S. Peñaranda, and S. Rigolin, Nucl. Phys. B979, 115791 (2022).
  53. MILC Code Repository, https://github.com/milc-qcd.
  54. https://www.dirac.ac.uk

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Phys. Rev. D 111, 114513– Published 17 June, 2025
  • Received 19 February 2025
  • Accepted 19 May 2025
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