Pitonyak D, Cocuzza C, Metz A, Prokudin A, Sato N. Number Density Interpretation of Dihadron Fragmentation Functions.
PHYSICAL REVIEW LETTERS 2024;
132:011902. [PMID:
38242654 DOI:
10.1103/physrevlett.132.011902]
[Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/30/2023] [Revised: 11/13/2023] [Accepted: 12/05/2023] [Indexed: 01/21/2024]
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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