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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.

Physical Review Letters
|January 19, 2024
PubMed
Summary
This summary is machine-generated.

We introduce a new quantum field-theoretic definition for dihadron fragmentation functions (DiFFs) and n-hadron fragmentation functions. This framework ensures DiFFs represent number densities, aligning with experimental data and providing clear physical meaning.

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Area of Science:

  • Quantum Field Theory
  • Particle Physics
  • High-Energy Physics

Background:

  • Fragmentation functions are crucial for understanding particle production in high-energy collisions.
  • Existing definitions of dihadron fragmentation functions (DiFFs) lack a clear physical interpretation.
  • Phenomenological studies utilize extended DiFFs, but their nature as number densities is not fully established.

Purpose of the Study:

  • To develop a rigorous quantum field-theoretic definition for fully unintegrated dihadron fragmentation functions (DiFFs) and generalize it to n-hadron fragmentation functions.
  • To establish that these new definitions are consistent with a number density interpretation and satisfy relevant sum rules.
  • To derive the evolution equations for the extended DiFFs used in phenomenological analyses.

Main Methods:

  • Development of a novel quantum field-theoretic framework for fragmentation functions.
  • Demonstration of sum rule satisfaction for the proposed DiFF definition.
  • Derivation of evolution equations for extended DiFFs.

Main Results:

  • A new, consistent quantum field-theoretic definition for fully unintegrated dihadron fragmentation functions (DiFFs) and n-hadron fragmentation functions is presented.
  • The proposed DiFF definition satisfies key sum rules, confirming its interpretation as a number density.
  • Extended DiFFs used in current phenomenological studies are shown to be number densities, and their evolution equations are derived.

Conclusions:

  • The new framework provides a clear physical meaning for DiFFs obtained from experimental measurements.
  • This work unifies theoretical definitions with phenomenological applications of fragmentation functions.
  • The established number density interpretation enhances the predictive power and understanding of particle production processes.