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Asymptotic behavior of meson transition form factors

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arxiv 2004.06127 v2 pith:I6PR3Q4A submitted 2020-04-13 hep-ph hep-exhep-latnucl-th

Martin Hoferichter , Peter Stoffer This is my paper · ORCID
classification hep-phhep-exhep-latnucl-th
keywords formasymptoticfactorstransitionbehaviordecompositionmesonscalar
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

One of the open issues in evaluations of the contribution from hadronic light-by-light scattering to the anomalous magnetic moment of the muon $(g-2)_\mu$ concerns the role of heavier scalar, axial-vector, and tensor-meson intermediate states. The coupling of axial vectors to virtual photons is suppressed for small virtualities by the Landau-Yang theorem, but otherwise there are few rigorous constraints on the corresponding form factors. In this paper, we first derive the Lorentz decomposition of the two-photon matrix elements into scalar functions following the general recipe by Bardeen, Tung, and Tarrach. Based on this decomposition, we then calculate the asymptotic behavior of the meson transition form factors from a light-cone expansion in analogy to the asymptotic limits for the pseudoscalar transition form factor derived by Brodsky and Lepage. Finally, we compare our results to existing data as well as previous models employed in the literature.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Tensor meson transition form factors in holographic QCD and the muon $g-2$

    hep-ph 2025-01 conditional novelty 7.0 of 10

    Holographic QCD predicts a positive tensor-meson contribution of about +11e-11 to the muon g-2, driven by a previously omitted doubly-virtual form factor.

  2. HadroTOPS: A Monte Carlo Event Generator For Hadron Production In Two-Photon Scattering In Electron Positron Collisions

    hep-ph 2025-11 conditional novelty 6.0 of 10

    A new Monte Carlo generator, HadroTOPS, implements the fully differential exclusive e+e- -> e+e- M1M2 cross-section with azimuthal modulations and covers pi+pi-, pi0pi0, pi0eta, K+K-, KsKs, eta eta, and f1(1285) modes.

  3. Longitudinal short-distance constraints on hadronic light-by-light scattering and tensor meson contributions to the muon $g-2$

    hep-ph 2025-01 conditional novelty 6.0 of 10

    In hard-wall holographic QCD, the infinite tower of tensor mesons fills most of the missing symmetric longitudinal short-distance constraint and yields a total hadronic light-by-light contribution of about +11 x 10^-1...

  4. Hadronic vacuum polarization for the muon $g-2$ from lattice QCD: Long-distance and full light-quark connected contribution

    hep-lat 2024-12 conditional novelty 6.0 of 10

    The light-quark connected hadronic vacuum polarization contribution to muon g-2 is determined to 0.69% precision, 655.2(4.5) x 10^-10, from lattice QCD.

  5. Dispersion relation for hadronic light-by-light scattering: $\eta$ and $\eta'$ poles

    hep-ph 2024-12 conditional novelty 6.0 of 10

    A dispersive analysis of the eta and eta' transition form factors yields data-driven pole contributions to the muon g-2 of 14.7(9) x 10^-11 and 13.5(7) x 10^-11.

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