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Number Density Interpretation of Dihadron Fragmentation Functions
D Pitonyak1, C Cocuzza2, A Metz2
1Department of Physics, Lebanon Valley College, Annville, Pennsylvania 17003, USA.
Abstract:
We present a new quantum field-theoretic definition of fully unintegrated dihadron fragmentation functions (DiFFs) as well as a generalized version for n-hadron fragmentation functions. We demonstrate that this definition allows certain sum rules to be satisfied, making it consistent with a number density interpretation. Moreover, we show how our corresponding so-called extended DiFFs that enter existing phenomenological studies are number densities and also derive their evolution equations. Within this new framework, DiFFs extracted from experimental measurements will have a clear physical meaning.
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