ηand η' transition form factors from rational approximants

Abstract

The ηand η' transition form factors in the space-like region are analyzed at low and intermediate energies in a model-independent way through the use of rational approximants. The slope and curvature parameters of the form factors as well as their values at zero and infinity are extracted from experimental data. The impact of these results on the mixing parameters of the η-η' system and the pseudoscalar-exchange contributions to the hadronic light-by-light scattering part of the anomalous magnetic moment are also discussed.

15 pages, 11 figures. v2: references added and minor typos corrected. v3: more references added and a new figure comparing different slope determinations is included. Matches the published version in PRD

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Cited by in corpus (48)

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• Pseudoscalar-pole contribution to the $(g_{\mu }-2)$: a rational approach
• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
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• The VV'P form factors in resonance chiral theory and the pi-eta-eta' light-by-light contribution to the muon g-2
• New Prospects in Fixed Target Searches for Dark Forces with the SeaQuest Experiment at Fermilab
• The ${\eta }^{\prime }$ transition form factor from space- and time-like experimental data
• Transition form factors ${\gamma }^{\ast }\gamma \to \eta$ and ${\gamma }^{\ast }\gamma \to {\eta }^{\prime }$ in QCD
• Masses and decay constants of the $\eta$ and ${\eta }^{\prime }$ mesons from lattice QCD
• The eta transition form factor from space- and time-like experimental data
• Measurement of the omega -> pi^0 e^+e^- and eta -> e^+e^-g Dalitz decays with the A2 setup at MAMI
• The interplay of transverse degrees of freedom and axial-vector mesons with short-distance constraints in g-2
• A new determination of the eta transition form factor in the Dalitz decay eta -> e^+ e^- gamma with the Crystal Ball/TAPS detectors at the Mainz Microtron
• Flavor-singlet meson decay constants from $N_f=2+1+1$ twisted mass lattice QCD
• Pseudoscalar pole light-by-light contributions to the muon $(g-2)$ in Resonance Chiral Theory
• Modeling interactions of photons with pseudoscalar and vector mesons
• The hadronic light-by-light contribution to the muon's anomalous magnetic moment
• Dynamical quark loop light-by-light contribution to muon g-2 within the nonlocal chiral quark model
• A data-driven approach to ${\pi }^0,\eta$ and ${\eta }^{\prime }$ single and double Dalitz decays
• Spacelike and timelike form factors for the $({\pi }^0,\eta ,{\eta }^{\prime })\to {\gamma }^{\ast }\gamma$ transitions in the light-front quark model
• $\eta$ and ${\eta }^{\prime }$ decays into lepton pairs
• Dispersion relation for hadronic light-by-light scattering: $\eta$ and ${\eta }^{\prime }$ poles
• ${\pi }^0$-$\eta$-${\eta }^{\prime }$ mixing from $V\to P\gamma$ and $P\to V\gamma$ decays
• $\eta$-${\eta }^{\prime }$ Mixing in Large-$N_c$ Chiral Perturbation Theory
• The radiative corrections to double-Dalitz decays revisited
• Axial anomaly and vector meson dominance model
• ${\eta }^{\prime }\to \eta \pi \pi$ decays in unitarized resonance chiral theory
• Precision evaluation of the $\eta$- and ${\eta }^{\prime }$-pole contributions to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Probing the singularities of the Landau-gauge gluon and ghost propagators with rational approximants
• Overview of the hadronic light-by-light contribution to the muon (g-2)
• Revisiting the radiative decays $J/\psi \to \gamma {\eta }^{(\prime )}$ in perturbative QCD
• Two-photon decays and transition form factors of ${\pi }^0$, $\eta$, and ${\eta }^{\prime }$ in large-$N_c$ chiral perturbation theory
• The ${\pi }^0-\eta -{\eta }^{\prime }$ mixing in a generalized multi-quark interaction scheme
• Study of $B\to \pi \ell {\nu }_{\ell }$ and $B^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$ decays and determination of $|V_{ub}|$
• Revisiting the $P$-wave charmonium radiative decays $h_c\to \gamma {\eta }^{(\prime )}$ with relativistic corrections
• Radiative decays of $h_c$ to the light mesons ${\eta }^{(\prime )}$: A perturbative QCD calculation
• Observation of the double Dalitz decay ${\eta }^{\prime }\to e^{+}{e}^{-}{e}^{+}{e}^{-}$
• Non-Abelian axial anomaly, axial-vector duality, and the pseudoscalar glueball
• QCD analysis of electromagnetic Dalitz decays $J/\psi \to {\eta }^{(\prime )}{\ell }^{+}{\ell }^{-}$
• $\eta$-$\gamma$ and ${\eta }^{\prime }$-$\gamma$ transition form factors in a nonlocal NJL model
• Dispersive approach to non-Abelian axial anomaly
• Updated pseudoscalar contributions to the hadronic light-by-light of the muon (g-2)
• Improved measurements of the Dalitz decays $\eta /{\eta }^{\prime }\to \gamma e^{+}{e}^{-}$
• Light-Front Quark Model Analysis of Meson-Photon Transition Form Factor
• Model-independent extrapolation of MUonE data with Padé and D-Log approximants
• QCD analysis of the $P$-wave charmonium electromagnetic Dalitz decays $h_c\to {\eta }^{(\prime )}{\ell }^{+}{\ell }^{-}$
• $\eta$ and ${\eta }^{\prime }$ transition form factors from Padé approximants
• Pseudoscalar transition form factors: $(g-2)$ of the muon, pseudoscalar decays into lepton pairs, and the $\eta -{\eta }^{\prime }$ mixing