The radiative corrections to double-Dalitz decays revisited

Abstract

In this study, we revisit and complete the full next-to-leading order corrections to pseudoscalar double-Dalitz decays within the soft-photon approximation. Comparing to the previous study, we find small differences, which are nevertheless relevant for extracting information about the pseudoscalar transition form factors. Concerning the latter, these processes could offer the opportunity to test them-for the first time-in their double-virtual regime

22 pages, 9 figures; minor changes added (results unchanged). Matches the published version in PRD. Results in Mathematica notebooks added as ancillary files

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Cited by in corpus (12)

• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• Pseudoscalar pole light-by-light contributions to the muon $(g-2)$ in Resonance Chiral Theory
• 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
• ${\eta }^{\prime }\to \eta \pi \pi$ decays in unitarized resonance chiral theory
• Lattice QCD calculation of $K\to \ell {\nu }_{\ell }{\ell }^{\prime +}{\ell }^{\prime -}$ decay width
• $CP$ violation in $\eta$ muonic decays
• $C$ and $CP$ violation in effective field theories
• Precise determination of the branching ratio of the neutral-pion Dalitz decay
• Scouring meson decays for true muonium
• Improved description of di-lepton production in ${\tau }^{-}\to {\nu }_{\tau }{P}^{-}$ decays
• $CP$ violation in ${\eta }^{(\prime )}\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ decays