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Towards a Nonperturbative Formulation of the Jet Charge.

Zhong-Bo Kang1,2,3, Andrew J Larkoski1,2, Jinghong Yang1,4

  • 1Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA.

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This study proposes a nonperturbative approach to understand jet charge, a key observable for distinguishing quark flavors. The jet charge distribution is modeled as a Gaussian, offering new predictions for its scaling with particle multiplicity.

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Area of Science:

  • High Energy Physics
  • Quantum Chromodynamics
  • Particle Physics

Background:

  • The jet charge is a valuable tool for discriminating between different quark flavors initiating particle jets.
  • Existing analyses often rely on perturbative methods, which may not fully capture nonperturbative effects.

Purpose of the Study:

  • To develop a nonperturbative framework for understanding the jet charge observable.
  • To establish robust, simple assumptions for a theoretical analysis of jet charge distributions.

Main Methods:

  • Utilizing nonperturbative assumptions like isospin conservation and large particle multiplicity.
  • Applying the central limit theorem to model the jet charge distribution as a Gaussian.
  • Relating the mean and variance of the jet charge to moments of single-particle energy distributions.

Main Results:

  • The jet charge distribution with fixed particle multiplicity is predicted to follow a Gaussian form.
  • The mean and variance of this Gaussian distribution are linked to fractional-power moments of single-particle energy distributions.
  • The proposed model successfully explains existing literature results and new findings from Monte Carlo simulations.

Conclusions:

  • A nonperturbative approach provides a robust understanding of the jet charge.
  • The model offers concrete predictions for the scaling of jet charge with multiplicity.
  • This framework validates previous experimental and simulation results and opens avenues for future research.