Axial-vector exchange contribution to the Hyperfine Splitting

Abstract

We revisit the contribution of axial-vector mesons to the hyperfine splitting of muonic hydrogen. We focus our attention on the doubly-virtual asymptotic behavior of the relevant form factors of axial-vector mesons, together with their coupling to nucleons based on resonance saturation and short-distance constraints. Among others, we find significant differences with respect to previous studies, including an opposite sign and a $\sim 50\%$ effect of the doubly-virtual high-energy behavior.

arXiv comment15 pages +references, 2 figures, 4 tables. Matches published version

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Cited by in corpus (5)

• Improved ${\pi }^0,\eta ,{\eta }^{\prime }$ transition form factors in resonance chiral theory and their $a_{\mu }^{\mathrm{HLbL}}$ contribution
• The light-by-light contribution to the muon anomalous magnetic moment from the axial-vector mesons exchanges within the nonlocal quark model
• Hadronic contributions to $a_{\mu }$ within Resonance Chiral Theory
• Tau data-driven evaluation of the Hadronic Vacuum Polarization
• Tau Data-Based Evaluations of the hadronic vacuum polarization contribution to the muon $g-2$