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2008

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

Dorokhov, A. E., Ivanov, M. A.

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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.

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

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M. Passera, Nucl. Phys. Proc. Suppl. 169
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A. E. Dorokhov and M. A. Ivanov, Phys. Rev. D75
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A.E. Dorokhov, E.A. Kuraev, Yu.M. Bystritskiy and M. Secansky, arXiv:0801.2028 [hep-ph]
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2028
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