J/Psi Production from Electromagnetic Fragmentation in Z decay

Abstract

The rate for $ Z^{0}\to J/ ψ+ \ell^{+}\ell^{-} $ is suprisingly large with about one event for every million $Z^{0}$ decays. The reason for this is that there is a fragmentation contribution that is not suppressed by a factor of $M^{2}_ψ/M^{2}_{Z}$. In the fragmentation limit $ M_{Z}\to\infty$ with $E_ψ/M_{Z}$ fixed, the differential decay rate for $ Z^{0}\to J/ ψ+ \ell^{+}\ell^{-} $ factors into electromagnetic decay rates and universal fragmentation functions. The fragmentation functions for lepton fragmentation and photon fragmentation into $J/ψ$ are calculated to lowest order in $α$. The fragmentation approximation to the rate is shown to match the full calculation for $E_ψ$ greater than about $3 M_ψ$.