Abstract
Quark and gluon parton dihadron fragmentation functions and their evolution are studied in the process of ${e}^{+}{e}^{\ensuremath{-}}$ annihilation. We provide definitions of such dihadron fragmentation functions in terms of parton matrix elements and derive the momentum sum rules and their connection to single hadron fragmentation functions. We parametrize results from the Lund Monte Carlo model JETSET as the initial conditions for the parton dihadron fragmentation functions at the scale ${Q}_{0}^{2}=2\text{ }\text{ }{\mathrm{GeV}}^{2}$. The evolution equations for the quark and gluon fragmentation functions are solved numerically and the results at different higher scales ${Q}^{2}$ agree well with JETSET results. The importance of the input from the single fragmentation functions is pointed out.
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