On mass corrections to the decays P \to l^+l^-

Details On mass corrections to the decays P \to l^+l^- On mass corrections to the decays P \to l^+l^-

2008-03-31

arxiv.org/abs/0803.4493v2

JETPLett.87:531-536,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 1 figure; one figure is added

Scientific paper

10.1134/S0021364008100032

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 $P\to\gamma^*\gamma^*$ 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.

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