Charmed-Hadron Production in ϒ(1S) Semi-inclusive Decay

Abstract

In the framework of the NRQCD factorization formalism, we calculate the decay rate for the process ϒ(1S) → cc̄gg to the next-to-leading order (NLO) in the relative velocity v of the b quark in the bottomonium rest frame. We also study the momentum distributions of the charm quark and the charmed-hadron in the decay. The momentum distribution of the charmed-hadron is obtained by convolving the charm quark momentum distribution with a fragmentation function of the charm quark into the hadron. In addition, we fit the nonperturbative NRQCD matrix element ⟨v2⟩ϒ through comparing the theoretical prediction with the measurement from the BaBar collaboration for the decay rate of ϒ(1S) → D*+X. In return, taking this matrix element as an input parameter, we predict the decay rates as well as the momentum distributions for a collection of charmed-hadrons in the process ϒ(1S) → cc̄gg → hX.