Neutral Pseudoscalar Mesons, Hadron Light-by-Light Scattering, and the Muon Anomalous Magnetic Moment
Abstract
Continuum Schwinger function methods\linebreak (CSM) are used to provide estimates of pseudoscalar meson pole contributions - P = π0, η, η′, ηc, ηb - to the muon anomalous magnetic moment. The analysis framework is benchmarked via successful applications to an array of other meson and nucleon properties. It uses the leading order CSM truncation, augmented by a parametrisation of non-Abelian anomaly effects, to deliver an internally consistent treatment of all the pseudoscalar--two-photon transition form factors required to complete such a calculation. Employing those form factor predictions, the following results are obtained (units 10−11): aμπ0 + aμη + aμη′ = 84.3(0.8) - a value lower than some other contemporary estimates; aμηc = 0.82(0.04); and a value of aμηb that is negligible. The total contribution is ∑ P aμP = 85.1(0.8) / 1011. Our analysis suggests that this pole contribution to aμ is still not known with precision better than 5\%.
Related
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- Leading-twist to higher-twist generalized parton distributions of the pseudoscalar mesons at non-zero skewness
- Radial Excitation Spectra of Light Pseudoscalar and Vector Mesons in Light-Front Holographic QCD
- Spin-independent scattering of pseudoscalar-mediated dark matter
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BibTeX
@misc{ye2026neutral,
title = {{Neutral Pseudoscalar Mesons, Hadron Light-by-Light Scattering, and the Muon Anomalous Magnetic Moment}},
author = {Cong-Cong Ye and Yu-Chen Hu and Minghui Ding and Craig D. Roberts},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.07493},
eprint = {2610.07493},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.07493},
}
RIS
TY - UNPB
TI - Neutral Pseudoscalar Mesons, Hadron Light-by-Light Scattering, and the Muon Anomalous Magnetic Moment
AU - Cong-Cong Ye
AU - Yu-Chen Hu
AU - Minghui Ding
AU - Craig D. Roberts
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2610.07493
UR - https://arxiv.org/abs/2610.07493
AB - Continuum Schwinger function methods\linebreak (CSM) are used to provide estimates of pseudoscalar meson pole contributions - P = π^0, η, η^′, η_c, η_b - to the muon anomalous magnetic moment. The analysis framework is benchmarked via successful applications to an array of other meson and nucleon properties. It uses the leading order CSM truncation, augmented by a parametrisation of non-Abelian anomaly effects, to deliver an internally consistent treatment of all the pseudoscalar--two-photon transition form factors required to complete such a calculation. Employing those form factor predictions, the following results are obtained (units 10^−11): a_μ^π^0 + a_μ^η + a_μ^η^′ = 84.3(0.8) - a value lower than some other contemporary estimates; a_μ^η_c = 0.82(0.04); and a value of a_μ^η_b that is negligible. The total contribution is ∑ _P a_μ^P = 85.1(0.8) / 10^11. Our analysis suggests that this pole contribution to a_μ is still not known with precision better than 5\%.
ER -