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On the transition form factors of the axial-vector resonance $f_1(1285)$ and its decay into $e^+e^-$

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arxiv 2103.09829 v2 pith:UIJOBGQF submitted 2021-03-17 hep-ph hep-exnucl-th

classification hep-phhep-exnucl-th
keywords tffsaxial-vectoravailablecontributionfactorsformgammahadronic
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Estimating the contribution from axial-vector intermediate states to hadronic light-by-light scattering requires input on their transition form factors (TFFs). Due to the Landau-Yang theorem, any experiment sensitive to these TFFs needs to involve at least one virtual photon, which complicates their measurement. Phenomenologically, the situation is best for the $f_1(1285)$ resonance, for which information is available from $e^+e^-\to e^+e^- f_1$, $f_1\to 4\pi$, $f_1\to \rho \gamma$, $f_1\to \phi \gamma$, and $f_1\to e^+e^-$. We provide a comprehensive analysis of the $f_1$ TFFs in the framework of vector meson dominance, including short-distance constraints, to determine to which extent the three independent TFFs can be constrained from the available experimental input, a prerequisite for improved calculations of the axial-vector contribution to hadronic light-by-light scattering. In particular, we focus on the process $f_1\to e^+e^-$, evidence for which has been reported recently by SND for the first time, and discuss the impact that future improved measurements will have on the determination of the $f_1$ TFFs.

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Cited by 9 Pith papers

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

  1. Precision evaluation of the $\eta$- and $\eta'$-pole contributions to hadronic light-by-light scattering in the anomalous magnetic moment of the muon

    hep-ph 2024-11 accept novelty 8.0 of 10

    A new dispersive analysis of the eta and eta-prime transition form factors gives a_mu(eta-pole) = 14.7(9) x 10^-11 and a_mu(eta'-pole) = 13.5(7) x 10^-11, with combined pseudoscalar poles at 91.2(+2.9,-2.4) x 10^-11.

  2. Dispersive Analysis of $D$- and $B$-Meson Form Factors with Chiral and Heavy-Quark Constraints

    hep-ph 2026-03 conditional novelty 7.0 of 10

    The isovector D/D*/B/B* electromagnetic form factors are reconstructed dispersively with ππ rescattering, yielding ρ(770) coupling constants from pole residues.

  3. Complete dispersive evaluation of the hadronic light-by-light contribution to muon $g-2$

    hep-ph 2024-11 conditional novelty 7.0 of 10

    Using a dispersive formalism with experimental transition form factors and short-distance constraints, the authors obtain a_mu^HLbL = 101.9(7.9) x 10^-11, halving the previous uncertainty.

  4. Impact of the $a_1(1260) \pi$ cascade contribution on $D^0 \to \pi^+ \pi^- \ell^+ \ell^-$ decays

    hep-ph 2025-11 conditional novelty 6.0 of 10

    Adding the a1(1260)pi cascade to the Standard Model isobar description of D0 -> pi+ pi- l+ l- substantially improves agreement with LHCb data and changes several angular observables.

  5. 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.

  6. 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.

  7. Dispersion relation for hadronic light-by-light scattering: subleading contributions

    hep-ph 2024-11 conditional novelty 6.0 of 10

    A dispersive evaluation gives a_mu^HLbL subleading = 33.2(7.2) x 10^-11 and total = 101.9(7.9) x 10^-11.

  8. Superconnections in AdS/QCD and the hadronic light-by-light contribution to the muon $g-2$

    hep-ph 2024-11 accept novelty 6.0 of 10

    A scalar-extended Chern-Simons superconnection in hard-wall AdS/QCD improves f1-f1' mixing and photon rates while leaving the combined axial-vector plus excited-pseudoscalar HLBL contribution to muon g-2 stable near 32e-11.

  9. Constraints on the hadronic light-by-light tensor in corner kinematics for the muon $g-2$

    hep-ph 2024-11 conditional novelty 6.0 of 10

    In corner kinematics, the hadronic light-by-light tensor including gluonic corrections reduces at the studied order to a compact integrand depending only on axial-current form factors.

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