Summary
This theoretical physics study presents precision calculations of the contributions to the muon's anomalous magnetic moment arising from η and η′ pseudoscalar meson intermediate states in hadronic light-by-light scattering. Using dispersion relations and implementing constraints from decay widths, spectral data, chiral symmetry, and meson couplings, the authors derive transition form factors and quantify pole contributions, including the first estimate of factorization-breaking effects from a₂ tensor meson exchange. The results advance the theoretical precision needed to compare with experimental measurements of the muon g−2 anomaly.
UK applicability
This is fundamental particle physics research without direct application to UK agricultural, soil health, or human nutrition contexts. It does not address farming systems, food production, or dietary outcomes relevant to Vitagri's core focus.
Key measures
Transition form factors (TFFs) for η(′)→γγ; anomalous magnetic moment contributions (aμ) in units of 10⁻¹¹; factorization-breaking corrections from a₂ tensor meson exchange
Outcomes reported
The study calculated transition form factors for η and η′ mesons to two virtual photons, implementing multiple low- and high-energy constraints. Final results quantified the pole contributions to the muon's anomalous magnetic moment: η pole = 14.7(9)×10⁻¹¹ and η′ pole = 13.5(7)×10⁻¹¹, with a combined pseudoscalar-pole contribution of 91.2⁻²·⁴⁺²·⁹×10⁻¹¹.
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