Complete structure dependent analysis of the decay $P\to l^{+}{l}^{-}$

Abstract

We use the Mellin-Barnes representation in order to improve the theoretical estimate of mass corrections to the width of light pseudoscalar meson decays into a lepton pair, $P\to l^{+}{l}^{-}$ . The full resummation of the terms $(M^2/{\Lambda }^2{)}^n,$ $(m^2/M^2{)}^n$and $(m^2/{\Lambda }^2{)}^n$ to the decay amplitude is performed, where $m$ is the lepton mass, $M$ is the meson mass and $\Lambda \approx m_{\rho }$ is the characteristic scale of the $P\to {\gamma }^{\ast }{\gamma }^{\ast }$ form factor. The total effect of mass corrections is quite important for $\eta ({\eta }^{\prime })$ decays. We also comment on the estimation of the hadronic light-by-light scattering contribution to the muon anomalous magnetic moment in the chiral perturbation theory.

11 pages, 1 figure

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Cited by in corpus (21)

• Dispersion relation for hadronic light-by-light scattering: pion pole
• Constraining Light Dark Matter with Low-Energy e+e- Colliders
• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• Constraints on a very light CP-odd Higgs of the NMSSM and other axion-like particles
• Electromagnetic decays of the neutral pion
• Rare decay π^0 \to e^+e^- as a Test of Standard Model
• Two-loop QED radiative corrections to the decay pi0 -> e+ e- : The virtual corrections and soft-photon bremsstrahlung
• Signals of the QCD axion with mass of 17 MeV/c^2: nuclear transitions and light meson decays
• Measurement of the ${\gamma }^{\star }{\gamma }^{\star }\to {\eta }^{\prime }$ transition form factor
• $\eta$ and ${\eta }^{\prime }$ decays into lepton pairs
• Improved Standard-Model prediction for ${\pi }^0\to e^{+}{e}^{-}$
• How the recent BABAR data for P to γγ* affect the Standard Model predictions for the rare decays P to l+l-
• The contribution of pseudoscalar mesons to hyperfine structure of muonic hydrogen
• Single pion contribution to the hyperfine splitting in muonic hydrogen
• Pseudoscalar meson form factors and decays
• Muon g-2, rare decays P \to l^+l^- and transition form factors P \to γγ^*
• The doubly virtual $({\pi }^0,\eta ,{\eta }^{\prime })\to {\gamma }^{\ast }{\gamma }^{\ast }$ transition form factors in the light-front quark model
• Tests of the fundamental symmetries in eta meson decays
• Pseudoscalar transition form factors: $(g-2)$ of the muon, pseudoscalar decays into lepton pairs, and the $\eta -{\eta }^{\prime }$ mixing
• The contribution of pseudoscalar and axial-vector mesons to hyperfine structure of muonic hydrogen
• Pseudoscalar decays into lepton pairs from rational approximants