The standard operator definition of fragmentation functions is shown to follow from collinear factorization for small-mass n-hadron final states, contrary to a recently proposed modified definition.
Effects of TMD evolution and partonic flavor on $e^+e^-$ annihilation into hadrons
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abstract
We calculate the transverse momentum dependence in the production of two back-to-back hadrons in electron-positron annihilations at the medium/large energy scales of BES-III and BELLE experiments. We use the parameters of the transverse-momentum-dependent (TMD) fragmentation functions that were recently extracted from the semi-inclusive deep-inelastic-scattering multiplicities at low energy from HERMES. TMD evolution is applied according to different approaches and using different parameters for the nonperturbative part of the evolution kernel, thus exploring the sensitivity of our results to these different choices and to the flavor dependence of parton fragmentation functions. We discuss how experimental measurements could discriminate among the various scenarios.
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QCD factorization with multihadron fragmentation functions
The standard operator definition of fragmentation functions is shown to follow from collinear factorization for small-mass n-hadron final states, contrary to a recently proposed modified definition.