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Evolution of Dihadron Fragmentation Functions with Nonperturbative behavior
by Kazuki Makino (Old Dominion University)
| Description |
Dihadron fragmentation functions involve two invariant mass scales: one is the overall hard scale Q^2, while other is the invariant mass of dihadron pairs M_h^2 which is associated with relative internal motion intrinsic to the fragmenting parton and multihadron system. M_h^2 varies continuously from nonperturbatively small to perturbatively large, whereby the nonperturbative contributions are of interest for their connection to intrinsic partonic structures. However, care is needed in disentangling the truly nonperturbative effects from perturbative behavior and relating them to universal nonperturbative matrix elements. To that end, we show how to evolve and interpret dihadron fragmentation functions in a way that accounts for the simultaneous variation in Q^2 and M_h^2. We emphasize how the basic dihadron fragmentation functions evolve in the same way as ordinary single hadron fragmentation functions, while the evolution with respect to the extra scale M_h^2 is separated out. We use this to merge the treatments of perturbative and nonperturbative effects in dihadron systems in a way that optimizes for interpretations that focus on partonic structure.
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