Semileptonic decay of Ds+→π0ℓ+νℓ via neutral meson mixing

Abstract

Based on the mechanism of neutral meson mixing, we predict the branching fraction of the semileptonic decay of Ds+→π0ℓ+νℓ (ℓ=e, μ) using recently measured branching fraction of Ds+→ηe+νe by BESIII experiment. We also give a formula that can describe the neutral meson mixing of π0, η, η′ and a pseudoscalar gluonium G in a unified way. The predicted branching fraction of Ds+→π0e+νe decay is B(Ds+→π0e+νe)=(2.65±0.38)×10−5. It is important to search for the decay Ds+→π0ℓ+νℓ in experiment, in order to understand the mechanism of π0 production in Ds+→π0 transition in semileptonic decay. We also estimate the branching fraction of Ds+→π0τ+ντ, which is the only kinematically allowed semi-tauonic decay mode of the charmed meson, since the mass value of Ds+ meson is just slightly above the threshold of π0τ+ generation in the semi-tauonic decay.