On mass corrections to the decays 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 decay into a lepton pair, $P\to l^{+}{l}^{-}$ . The full resummation of the terms $\ln (m_l^2/{\Lambda }^2)(m_l^2/{\Lambda }^2{)}^n$ and $(m_l^2/{\Lambda }^2{)}^n$ to the decay amplitude is performed, where $m_l$ is the lepton 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 for the $e^{+}{e}^{-}$ channel is negligible and for the ${\mu }^{+}{\mu }^{-}$ channel its order is of a few per cent.

10 pages, 1 figure; one figure is added

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• Electromagnetic decays of the neutral pion
• Rare decay π^0 \to e^+e^- as a Test of Standard Model
• On convergent series representations of Mellin-Barnes integrals
• Two-loop QED radiative corrections to the decay pi0 -> e+ e- : The virtual corrections and soft-photon bremsstrahlung
• Complete structure dependent analysis of the decay $P\to l^{+}{l}^{-}$
• $\eta$ and ${\eta }^{\prime }$ decays into lepton pairs
• Improved Standard-Model prediction for ${\pi }^0\to e^{+}{e}^{-}$
• The contribution of pseudoscalar mesons to hyperfine structure of muonic hydrogen
• How the recent BABAR data for P to γγ* affect the Standard Model predictions for the rare decays P to l+l-
• Rare decay ${\pi }^0\to e^{+}{e}^{-}$ constraints on the light CP-odd Higgs in NMSSM
• $\eta$ and ${\eta }^{\prime }$ Physics at BES-III
• Pseudoscalar meson form factors and decays
• Muon g-2, rare decays P \to l^+l^- and transition form factors P \to γγ^*
• Tests of the fundamental symmetries in eta meson decays
• Recent results on rare decay pi0 to e+e-