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On mass corrections to the decay P → l + l −

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Abstract

The Mellin-Barnes representation is used to improve the theoretical estimate of mass corrections to the width of a light pseudoscalar meson decay into a lepton pair, P → l + l −. The full resummation of the terms ln(m 2 l /Λ2)(m 2 l /Λ2)n and (m 2 l /Λ2)n to the decay amplitude is performed, where m l is the lepton mass and Λ ≈ m ρ is the characteristic scale of the P → γ*γ* form factor. The total effect of the mass corrections for the e + e − channel is negligible and, for the μ+μ−channel, its order is of a few percent.

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Authors and Affiliations

  1. Joint Institute for Nuclear Research, Dubna, Moscow region, 141980, Russia

    A. E. Dorokhov & M. A. Ivanov

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  1. A. E. Dorokhov
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  2. M. A. Ivanov
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Dorokhov, A.E., Ivanov, M.A. On mass corrections to the decay P → l + l − . Jetp Lett. 87, 531–536 (2008). https://doi.org/10.1134/S0021364008100032

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  • DOI: https://doi.org/10.1134/S0021364008100032

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