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

References in corpus (5)

• Muon g-2: Review of Theory and Experiment
• Rare decay pi0 -> e+e-: theory confronts KTeV data
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Cited by in corpus (3)

• Complete structure dependent analysis of the decay $P\to l^{+}{l}^{-}$
• $\eta$ and ${\eta }^{\prime }$ Physics at BES-III
• Recent results on rare decay pi0 to e+e-