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VOLUME 87 (2008) | ISSUE 10 | PAGE 617
On mass corrections to the decay \boldsymbol{P\rightarrow l^{+}l^{-}}
PACS: 12.38.-t, 13.25.Cq
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\rightarrow l^{+}l^{-}. The full resummation of the terms \ln(m_{l}^{2}/\Lambda^{2})\left(m_{l}^{2}/\Lambda^{2}\right) ^{n} and \left(m_{l}^{2}/\Lambda^{2}\right) ^{n} to the decay amplitude is performed, where ml is the lepton mass and \Lambda\approx m_{\rho} is the characteristic scale of the P\rightarrow\gamma^{\ast}\gamma^{\ast} form factor. The total effect of mass corrections for the e+e- channel is negligible and for the μ+μ- channel its order is of a few per cent.