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Constraints on the hadronic light-by-light in the Melnikov-Vainshtein regime

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arxiv 2211.17183 v2 pith:Q7N5EJ4H submitted 2022-11-30 hep-ph

Johan Bijnens , Nils Hermansson-Truedsson , Antonio Rodríguez-Sánchez This is my paper · ORCID
classification hep-ph
keywords constraintshadroniclight-by-lightderiveexpansionmagneticmelnikov-vainshteinmoment
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The muon anomalous magnetic moment continues to attract attention due to the possible tension between the experimentally measured value and the theoretical Standard Model prediction. With the aim to reduce the uncertainty on the hadronic light-by-light contribution to the magnetic moment, we derive short-distance constraints in the Melnikov-Vainshtein regime which are useful for data-driven determinations. In this kinematical region, two of the four electromagnetic currents are close in the four-point function defining the hadronic light-by-light tensor. To obtain the constraints, we develop a systematic operator product expansion of the tensor in question to next-to-leading order in the expansion in operators. We evaluate the leading in $\alpha_s$ contributions and derive constraints for the next-to-leading operators that are also valid nonperturbatively.

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Cited by 4 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. Dispersive analysis of the pion vector form factor without zeros

    hep-ph 2025-01 conditional novelty 6.0 of 10

    Imposing the absence of complex zeros in the pion vector form factor reduces the dominant systematic uncertainty and makes the tensions between CMD-3 and other e+e- data sets appear sharper, including in the pion char...

  3. 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.

  4. 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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