The dihadron fragmentation function and its evolution

Details The dihadron fragmentation function and its evolution The dihadron fragmentation function and its evolution

2004-02-24

arxiv.org/abs/hep-ph/0402245v1

Phys.Rev. D70 (2004) 014007

Physics

High Energy Physics

High Energy Physics - Phenomenology

27 pages, 2 column, Revtex4, 21 figures

Scientific paper

10.1103/PhysRevD.70.014007

Dihadron fragmentation functions and their evolution are studied in the process of $e^+e^-$ annihilation. Under the collinear factorization approximation and facilitated by the cut-vertex technique, the two hadron inclusive cross section at leading order (LO) is shown to factorize into a short distance parton cross section and a long distance dihadron fragmentation function. We provide the definition of such a dihadron fragmentation function in terms of parton matrix elements and derive its DGLAP evolution equation at leading log. The evolution equation for the non-singlet quark fragmentation function is solved numerically with a simple ansatz for the initial condition and results are presented for cases of physical interest.

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