Abstract
We report new measurements of the production cross sections of pairs of charged pions and kaons as a function of their fractional energies using various fractional-energy definitions. Two different fractional-energy definitions were used and compared to the conventional fractional-energy definition reported previously. The new variables aim at either identifying dihadron cross sections in terms of single-hadron fragmentation functions, or to provide a means of characterizing the transverse momentum created in the fragmentation process. The results were obtained applying the updated initial-state radiation correction used in other recent Belle publications on light-hadron production cross sections. In addition, production cross sections of single charged pions, kaons, and protons were also updated using this initial-state radiation correction. The cross sections are obtained from a $558\,{\rm fb}^{-1}$ data sample collected at the $\Upsilon(4S)$ resonance with the Belle detector at the KEKB asymmetric-energy $e^+ e^-$ collider.
Highlights
The hadronization of highly energetic partons into finalstate hadrons is often parametrized in terms of fragmentation functions
We report new measurements of the production cross sections of pairs of charged pions and kaons as a function of their fractional energies using various fractional-energy definitions
The results were obtained applying the updated initial-state radiation correction used in other recent Belle publications on light-hadron production cross sections
Summary
The hadronization of highly energetic partons into finalstate hadrons is often parametrized in terms of fragmentation functions. Theorists brought to our attention two different fractional-energy or momentum definitions: one that facilitates the interpretation of cross sections for pairs of nearly back-to-back hadrons in terms of singlehadron fragmentation functions [3], the other serves to highlight the transverse momentum produced in the fragmentation process [4]. In these alternative definitions, no additional thrust or hemisphere requirements are explicitly necessary since their definitions take the selection of back-to-back hadrons originating from two different partons into account directly via scalar products between the two hadron four-momenta. Hadron yields are calculated in bins of fractional energy z for each hadron
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