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The interplay of transverse degrees of freedom and axial-vector mesons with short-distance constraints in g-2

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arxiv 2005.11761 v4 pith:QRKIR3KZ submitted 2020-05-24 hep-ph

classification hep-ph
keywords axial-vectormesonsconstraintsdegreesfreedommuonshort-distancetransverse
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We revisit well-known short-distance constraints relating the hadronic light-by light Green's function to the $\langle VVA \rangle$ one, that have been a subject of debate over the past years in the context of the muon $(g-2)$. Specifically, we identify a relation among the longitudinal and transverse degrees of freedom that is enforced by the axial anomaly that, by contrast, has not received attention in the past. Such relation allows, among other things, to overcome the problem of basis ambiguities when describing axial-vector mesons transition form factors, but further applications are discussed as well, with special focus on the role of axial-vector mesons in the HLbL contribution to the muon $(g-2)$. Our results should also contribute to a better understanding of the, so far, controversial interplay among short-distance constraints with longitudinal and transverse degrees of freedom, such as axial-vector mesons. This is key to confront the theoretical and experimental result for the muon $(g-2)$ that, currently, exhibits a $4.2\sigma$ tension.

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Cited by 10 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. 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.

  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. 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.

  5. 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...

  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.

  10. Muon lifetime and Fermi constant: an update

    hep-ph 2026-07 accept novelty 4.5 of 10

    Updated Δq = (−4 384 678 ± 34)×10^{-9} reduces theory error on the muon lifetime by an order of magnitude and gives G_F = 1.166 378 59(59)×10^{-5} GeV^{-2}.

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