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Hadronic light-by-light scattering contributions to (g2)μ from axial-vector and tensor mesons in the holographic soft-wall model

Pietro Colangelo*, Floriana Giannuzzi, and Stefano Nicotri

  • *pietro.colangelo@ba.infn.it
  • floriana.giannuzzi@ba.infn.it
  • nicotri@infn.it

Phys. Rev. D 109, 094036 – Published 23 May, 2024

DOI: https://doi.org/10.1103/PhysRevD.109.094036

Abstract

We compute the light axial-vector and tensor meson two-photon transition form factors in the soft-wall holographic model of quantum chromodynamics (QCD) in the flavor-symmetric case. They are used to evaluate the axial-vector and tensor meson contributions to the anomalous magnetic moment of the muon via the hadronic light-by-light scattering process. As expected, these contributions are smaller than the one from pseudoscalar mesons. The result for axial-vector mesons is higher than the value found in other approaches.

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References (56)

  1. D. P. Aguillard et al. (Muon g-2 Collaboration), Measurement of the positive muon anomalous magnetic moment to 0.20 ppm, Phys. Rev. Lett. 131, 161802 (2023).
  2. T. Aoyama et al., The anomalous magnetic moment of the muon in the standard model, Phys. Rep. 887, 1 (2020).
  3. F. Jegerlehner and A. Nyffeler, The Muon g-2, Phys. Rep. 477, 1 (2009).
  4. G. Colangelo, M. Hoferichter, and P. Stoffer, Two-pion contribution to hadronic vacuum polarization, J. High Energy Phys. 02 (2019) 006.
  5. G. Colangelo, M. Hoferichter, M. Procura, and P. Stoffer, Dispersion relation for hadronic light-by-light scattering: two-pion contributions, J. High Energy Phys. 04 (2017) 161.
  6. D. Melo-Porras, E. A. Reyes Rojas, and A. R. Fazio, Hadronic light by light corrections to the muon anomalous magnetic moment, Particles 7, 327 (2024).
  7. S. Borsanyi et al., Leading hadronic contribution to the muon magnetic moment from lattice QCD, Nature (London) 593, 51 (2021).
  8. L. Di Luzio, A. Masiero, P. Paradisi, and M. Passera, New physics behind the new muon g-2 puzzle?, Phys. Lett. B 829, 137037 (2022).
  9. J. P. Lees et al. (BABAR Collaboration, Precise measurement of the e+eπ+π(γ) cross section with the initial-state radiation method at BABAR, Phys. Rev. D 86, 032013 (2012).
  10. A. Anastasi et al. (KLOE-2 Collaboration), Combination of KLOE σ(e+eπ+πγ(γ)) measurements and determination of aμπ+π in the energy range 0.10<s<0.95GeV2, J. High Energy Phys. 03 (2018) 173.
  11. F. V. Ignatov et al. (CMD-3 Collaboration), Measurement of the e+eπ+π cross section from threshold to 1.2 GeV with the CMD-3 detector, arXiv:2302.08834.
  12. A. Crivellin, M. Hoferichter, C. A. Manzari, and M. Montull, Hadronic vacuum polarization: (g2)μ versus global electroweak fits, Phys. Rev. Lett. 125, 091801 (2020).
  13. G. Colangelo et al., Prospects for precise predictions of aμ in the standard model, arXiv:2203.15810.
  14. K. Melnikov and A. Vainshtein, Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment revisited, Phys. Rev. D 70, 113006 (2004).
  15. P. Masjuan, P. Roig, and P. Sanchez-Puertas, The interplay of transverse degrees of freedom and axial-vector mesons with short-distance constraints in g 2, J. Phys. G 49, 015002 (2022).
  16. G. Colangelo, F. Hagelstein, M. Hoferichter, L. Laub, and P. Stoffer, Short-distance constraints on hadronic light-by-light scattering in the anomalous magnetic moment of the muon, Phys. Rev. D 101, 051501 (2020).
  17. G. Colangelo, F. Hagelstein, M. Hoferichter, L. Laub, and P. Stoffer, Longitudinal short-distance constraints for the hadronic light-by-light contribution to (g2)μ with large-Nc Regge models, J. High Energy Phys. 03 (2020) 101.
  18. A. Karch, E. Katz, D. T. Son, and M. A. Stephanov, Linear confinement and AdS/QCD, Phys. Rev. D 74, 015005 (2006).
  19. L. Cappiello, O. Catà, G. D’Ambrosio, D. Greynat, and A. Iyer, Axial-vector and pseudoscalar mesons in the hadronic light-by-light contribution to the muon (g2), Phys. Rev. D 102, 016009 (2020).
  20. J. Leutgeb and A. Rebhan, Axial vector transition form factors in holographic QCD and their contribution to the anomalous magnetic moment of the muon, Phys. Rev. D 101, 114015 (2020).
  21. P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau, and S. Nicotri, Light scalar mesons in the soft-wall model of AdS/QCD, Phys. Rev. D 78, 055009 (2008).
  22. P. Colangelo, F. De Fazio, F. Jugeau, and S. Nicotri, On the light glueball spectrum in a holographic description of QCD, Phys. Lett. B 652, 73 (2007).
  23. L. Bellantuono, P. Colangelo, and F. Giannuzzi, Holographic oddballs, J. High Energy Phys. 10 (2015) 137.
  24. L. Bellantuono, P. Colangelo, and F. Giannuzzi, Exotic JPC=1+ mesons in a holographic model of QCD, Eur. Phys. J. C 74, 2830 (2014).
  25. E. D’Hoker and D. Z. Freedman, Supersymmetric gauge theories and the AdS/CFT correspondence, in Theoretical Advanced Study Institute in Elementary Particle Physics (TASI 2001): Strings, Branes and EXTRA Dimensions (2002), pp. 3–158, arXiv:hep-th/0201253.
  26. L. Cappiello, O. Catà, and G. D’Ambrosio, The hadronic light by light contribution to the (g2)μ with holographic models of QCD, Phys. Rev. D 83, 093006 (2011).
  27. P. Colangelo, F. De Fazio, J. J. Sanz-Cillero, F. Giannuzzi, and S. Nicotri, Anomalous AV*V vertex function in the soft-wall holographic model of QCD, Phys. Rev. D 85, 035013 (2012).
  28. P. Colangelo, F. Giannuzzi, and S. Nicotri, π0,η,η’ two-photon transition form factors in the holographic soft-wall model and contributions to (g2)μ, Phys. Lett. B 840, 137878 (2023).
  29. F. Giannuzzi and S. Nicotri, U(1)A axial anomaly, η, and topological susceptibility in the holographic soft-wall model, Phys. Rev. D 104, 014021 (2021).
  30. V. Pauk and M. Vanderhaeghen, Single meson contributions to the muon‘s anomalous magnetic moment, Eur. Phys. J. C 74, 3008 (2014).
  31. P. Roig and P. Sanchez-Puertas, Axial-vector exchange contribution to the hadronic light-by-light piece of the muon anomalous magnetic moment, Phys. Rev. D 101, 074019 (2020).
  32. V. Pascalutsa, V. Pauk, and M. Vanderhaeghen, Light-by-light scattering sum rules constraining meson transition form factors, Phys. Rev. D 85, 116001 (2012).
  33. P. Achard et al. (L3 Collaboration), f1(1285) formation in two photon collisions at LEP, Phys. Lett. B 526, 269 (2002).
  34. P. Achard et al. (L3 Collaboration), Study of resonance formation in the mass region 1400-MeV to 1500-MeV through the reaction γγK0SK±π, J. High Energy Phys. 03 (2007) 018.
  35. J. Leutgeb and A. Rebhan, Hadronic light-by-light contribution to the muon g-2 from holographic QCD with massive pions, Phys. Rev. D 104, 094017 (2021).
  36. M. Hoferichter and P. Stoffer, Asymptotic behavior of meson transition form factors, J. High Energy Phys. 05 (2020) 159.
  37. J. Bijnens, E. Pallante, and J. Prades, Analysis of the hadronic light by light contributions to the muon g-2, Nucl. Phys. B474, 379 (1996).
  38. M. Hayakawa, T. Kinoshita, and A. I. Sanda, Hadronic light by light scattering contribution to muon g-2, Phys. Rev. D 54, 3137 (1996).
  39. J. Leutgeb, J. Mager, and A. Rebhan, Hadronic light-by-light contribution to the muon g-2 from holographic QCD with solved U(1)A problem, Phys. Rev. D 107, 054021 (2023).
  40. A. E. Radzhabov, A. S. Zhevlakov, A. P. Martynenko, and F. A. Martynenko, Light-by-light contribution to the muon anomalous magnetic moment from the axial-vector mesons exchanges within the nonlocal quark model, Phys. Rev. D 108, 014033 (2023).
  41. E. Katz, A. Lewandowski, and M. D. Schwartz, Tensor mesons in AdS/QCD, Phys. Rev. D 74, 086004 (2006).
  42. S. Mamedov, Z. Hashimli, and S. Jafarzade, Tensor meson couplings in AdS/QCD, Phys. Rev. D 108, 114032 (2023).
  43. C. Germani and A. Kehagias, Higher-spin fields in braneworlds, Nucl. Phys. B725, 15 (2005).
  44. W. de Paula, T. Frederico, H. Forkel, and M. Beyer, Dynamical AdS/QCD with area-law confinement and linear Regge trajectories, Phys. Rev. D 79, 075019 (2009).
  45. Z. Abidin and C. E. Carlson, Gravitational form factors of vector mesons in an AdS/QCD model, Phys. Rev. D 77, 095007 (2008).
  46. T. Gutsche, V. E. Lyubovitskij, I. Schmidt, and A. Vega, Dilaton in a soft-wall holographic approach to mesons and baryons, Phys. Rev. D 85, 076003 (2012).
  47. V. E. Lyubovitskij and I. Schmidt, Bulk-to-boundary propagators with arbitrary total angular momentum J in soft-wall AdS/QCD, Phys. Rev. D 108, 054030 (2023).
  48. S. J. Brodsky, G. F. de Teramond, H. G. Dosch, and J. Erlich, Light-front holographic QCD and emerging confinement, Phys. Rep. 584, 1 (2015).
  49. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2, 253 (1998).
  50. V. A. Novikov, M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Are all hadrons alike?, Nucl. Phys. B191, 301 (1981).
  51. T. M. Aliev and M. A. Shifman, Old tensor mesons in QCD sum rules, Phys. Lett. 112B, 401 (1982).
  52. C. Ewerz, M. Maniatis, and O. Nachtmann, A model for soft high-energy scattering: Tensor pomeron and vector odderon, Ann. Phys. (Amsterdam) 342, 31 (2014).
  53. M. Masuda et al. (Belle Collaboration), Study of π0 pair production in single-tag two-photon collisions, Phys. Rev. D 93, 032003 (2016).
  54. G. A. Schuler, F. A. Berends, and R. van Gulik, Meson photon transition form-factors and resonance cross-sections in e+e collisions, Nucl. Phys. B523, 423 (1998).
  55. R. L. Workman et al. (Particle Data Group), Review of particle physics, Prog. Theor. Exp. Phys. 2022, 083C01 (2022).
  56. I. Danilkin and M. Vanderhaeghen, Light-by-light scattering sum rules in light of new data, Phys. Rev. D 95, 014019 (2017).

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