A data-driven approach to ${\pi }^0,\eta$ and ${\eta }^{\prime }$ single and double Dalitz decays

Abstract

The dilepton invariant mass spectra and integrated branching ratios of the single and double Dalitz decays $\mathcal{P}\to {\ell }^{+}{\ell }^{-}\gamma$ and $\mathcal{P}\to {\ell }^{+}{\ell }^{-}{\ell }^{+}{\ell }^{-}$ ($\mathcal{P}={\pi }^0,\eta ,{\eta }^{\prime }$; $\ell =e$ or $\mu$) are predicted by means of a data-driven approach based on the use of rational approximants applied to ${\pi }^0,\eta$ and ${\eta }^{\prime }$ transition form factor experimental data in the space-like region.

18 pages, 11 figures. This version matches the published version

References in corpus (14)

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• Light Cone Sum Rules for the pi0-gamma*-gamma Form Factor Revisited
• Study of the electromagnetic transition form-factors in η-> μ^+μ^-γand ω-> μ^+μ^-π^0 decays with NA60
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• The ${\eta }^{\prime }$ transition form factor from space- and time-like experimental data
• One meson radiative tau decays
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• Precise determination of resonance pole parameters through Padé approximants
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• Measurement of the pi^0 -> e^+e^-gamma Dalitz decay at the Mainz Microtron
• Anomalous decays of pseudoscalar mesons

Cited by in corpus (17)

• 50 Years of Quantum Chromodynamics
• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• The ${\eta }^{\prime }$ transition form factor from space- and time-like experimental data
• Electromagnetic decays of the neutral pion
• Improved ${\pi }^0,\eta ,{\eta }^{\prime }$ transition form factors in resonance chiral theory and their $a_{\mu }^{\mathrm{HLbL}}$ contribution
• Dispersion relation for hadronic light-by-light scattering: $\eta$ and ${\eta }^{\prime }$ poles
• Enriching the physics program of the CMS experiment via data scouting and data parking
• The radiative corrections to double-Dalitz decays revisited
• ${\eta }^{\prime }\to \eta \pi \pi$ decays in unitarized resonance chiral theory
• Radiative corrections to the ${\eta }^{(\prime )}$ Dalitz decays
• $CP$ violation in $\eta$ muonic decays
• Two-photon decays and transition form factors of ${\pi }^0$, $\eta$, and ${\eta }^{\prime }$ in large-$N_c$ chiral perturbation theory
• Study of $B\to \pi \ell {\nu }_{\ell }$ and $B^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$ decays and determination of $|V_{ub}|$
• Observation of the rare decay of the $\eta$ meson to four muons
• Observation of the double Dalitz decay ${\eta }^{\prime }\to e^{+}{e}^{-}{e}^{+}{e}^{-}$
• Measurement of the double Dalitz decay $\eta \to e^{+}{e}^{-}{e}^{+}{e}^{-}$
• Light Meson Physics at BESIII