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Pion Transition Form Factor from Twisted-Mass Lattice QCD and the Hadronic Light-by-Light $\pi^0$-pole Contribution to the Muon $g-2$

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arxiv 2308.12458 v2 pith:CZ74OOAS submitted 2023-08-23 hep-lat hep-ph

C. Alexandrou , S. Bacchio , G. Bergner , S. Burri , J. Finkenrath , A. Gasbarro , K. Hadjiyiannakou , K. Jansen
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G. Kanwar B. Kostrzewa G. Koutsou K. Ottnad M. Petschlies F. Pittler F. Steffens C. Urbach U. Wenger
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classification hep-lathep-ph
keywords formfactortransitioncontributionhadroniclatticelight-by-lightpole
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The neutral pion generates the leading pole contribution to the hadronic light-by-light tensor, which is given in terms of the nonperturbative transition form factor $\mathcal{F}_{\pi^0\gamma\gamma}(q_1^2,q_2^2)$. Here we present an ab-initio lattice calculation of this quantity in the continuum and at the physical point using twisted-mass lattice QCD. We report our results for the transition form factor parameterized using a model-independent conformal expansion valid for arbitrary space-like kinematics and compare it with experimental measurements of the single-virtual form factor, the two-photon decay width, and the slope parameter. We then use the transition form factors to compute the pion-pole contribution to the hadronic light-by-light scattering in the muon $g-2$, finding $a_\mu^{\pi^0\text{-pole}} = 56.7(3.2) \times 10^{-11}$.

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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. 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.

  2. 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.

  3. Pion Transition Form Factor in Lattice QCD

    hep-lat 2026-07 conditional novelty 5.0 of 10

    The disconnected quark-loop contribution to the pion transition form factor has the same sign as the connected contribution, at roughly 1% of its size, as calculated on one N_f=2+1 clover ensemble.

  4. Field-theoretical approach to neutral pion contribution to muon $g-2$

    hep-ph 2025-01 reject novelty 5.0 of 10

    The neutral pion contribution to muon g-2 should contain only the on-shell pole term, with no principal-value part, because off-shell pions are not well-defined states in QCD.

  5. Hadronic light-by-light contribution to the muon $g-2$ using twisted-mass fermions

    hep-lat 2024-12 conditional novelty 5.0 of 10

    Lattice QCD gives preliminary continuum-limit values for the charm and strange connected hadronic light-by-light contributions, plus first single-ensemble results for light connected and 2+2 disconnected contributions.

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