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Dihadron Fragmentation and the Confinement Transition in Energy Correlators.

Kyle Lee1, Iain W Stewart1

  • 1Massachusetts Institute of Technology, Center for Theoretical Physics-a Leinweber Institute, Cambridge, Massachusetts 02139, USA.

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This study proves factorization for energy-energy correlators using electron-positron collisions. It connects jet functions to dihadron fragmentation, offering insights into the confinement transition region.

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Area of Science:

  • High Energy Physics
  • Quantum Chromodynamics
  • Particle Physics

Background:

  • Factorization theorems are crucial for theoretical predictions in high-energy particle collisions.
  • Understanding the behavior of particle jets and their correlations is key to probing fundamental interactions.

Purpose of the Study:

  • To establish a nonperturbative proof of factorization for energy-energy correlators in electron-positron collisions.
  • To link theoretical frameworks for particle production and jet properties.

Main Methods:

  • Relating the factorization of e^{+}e^{-}→h_{1}h_{2}X processes to energy-energy correlators in the collinear limit.
  • Utilizing established techniques in quantum chromodynamics and perturbative/nonperturbative calculations.

Main Results:

  • A nonperturbative proof of factorization for energy-energy correlators is provided.
  • The energy correlator jet function is successfully related to transverse-momentum-sensitive dihadron fragmentation functions.
  • A rigorous description of the confinement transition region is achieved.

Conclusions:

  • The study establishes a robust theoretical framework for analyzing energy-energy correlators.
  • The findings provide a deeper understanding of hadronization and the transition to confined states in quantum chromodynamics.