Dihadron fragmentation functions within the Nambu-Jona-Lasinio-jet model

Abstract

Dihadron fragmentation functions (DiFF) provide a vast amount of information on the intricate details of the parton hadronization process. Moreover, they provide unique access to the “clean” extraction of nucleon transversity parton distribution functions in semi-inclusive deep inelastic two-hadron production processes with a transversely polarized target. The Nambu–Jona-Lasinio–jet model has been extended for calculations of light and strange quark unpolarized DiFFs to pions, kaons and several vector mesons. This is accomplished by using the probabilistic interpretation of the DiFFs and employing the Nambu–Jona-Lasinio–jet hadronization model in the Monte Carlo simulations, which includes the transverse momentum of the produced hadrons. The strong decays of the vector mesons and the subsequent modification of the pseudoscalar meson DiFFs are also considered. The resulting pseudoscalar meson DiFFs are strongly influenced by the decays of the relevant vector mesons. This is because of the large combinatorial factors involved in counting the number of hadron pairs that include the decay products. The evolution of the DiFFs from the model scale to a typical experimental scale has also been performed.