Anomalous 3-jet and Heavy Quark Fragmentation

Abstract

Heavy hadron production in $e^+e^-$ annihilation is studied in the framework of heavy-quark recombination mechanism. This mechanism predicts a new type of 3-jet event such as $b\bar{b}q$ or $b\bar{b}\bar{q}$, which is power-suppressed relative to the standard $b\bar{b}g$ event. Furthermore, heavy quark fragmentation function also receives a contribution from this mechanism, which is {\it calculable} in perturbative QCD as long as the momentum fraction $z$ is not too close to unity. We conjecture that the height of the peak of fragmentation function for S-wave heavy hadron scales as $\alpha_s^2(m) m/\lambdaqcd$.