Dihadron fragmentation functions and high pT hadron–hadron correlations

Abstract

We propose the formulation of a dihadron fragmentation function in terms of parton matrix elements. Under the collinear factorization approximation and facilitated by the cut-vertex technique, the two-hadron inclusive cross section at leading order in e+e− annihilation is shown to factorize into a short-distance parton cross section and the long-distance dihadron fragmentation function. We also derive the DGLAP evolution equation of this function 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.