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Four-Jet Rate in Electron-Positron Annihilation at Order α_{s}^{4}.

Xuan Chen1, Dmitry Chicherin2, Elliot Fox3

  • 1Shandong University, School of Physics, Jinan, Shandong 250100, China.

Physical Review Letters
|July 10, 2026
PubMed
Summary

Researchers calculated the production rate for four jets in electron-positron annihilation at next-to-next-to-leading order, achieving unprecedented accuracy. This advancement significantly reduces theoretical uncertainties, improving agreement with experimental data.

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Area of Science:

  • High-energy particle physics
  • Quantum chromodynamics
  • Collider physics

Background:

  • Electron-positron annihilation is a fundamental process for probing particle interactions.
  • Precise theoretical predictions are crucial for interpreting experimental results from particle colliders.
  • Higher-order calculations in perturbative quantum field theory are essential for achieving higher precision.

Purpose of the Study:

  • To compute the four-jet production rate in electron-positron annihilation at next-to-next-to-leading order (NNLO).
  • To investigate the highest final-state jet multiplicity achieved at NNLO accuracy to date.
  • To compare the theoretical predictions with experimental data from the Large Electron-Poside (LEP) collider.

Main Methods:

  • Utilized the antenna subtraction scheme for the cancellation of infrared singularities.
  • Employed generalized antenna functions for the calculation.
  • Developed a new basis of transcendental special functions for evaluating two-loop virtual corrections.
  • Performed calculations at next-to-next-to-leading order (NNLO) perturbative accuracy.

Main Results:

  • Achieved the first NNLO computation of the four-jet production rate in electron-positron annihilation.
  • The calculation represents the highest jet multiplicity studied at this perturbative accuracy.
  • Demonstrated improved agreement with LEP data compared to previous next-to-leading order calculations.
  • Observed a significant reduction in theoretical uncertainties, falling below experimental uncertainties in reliable regions.

Conclusions:

  • The NNLO calculation provides a more precise theoretical prediction for four-jet production.
  • The reduced theoretical uncertainties enhance the power of electron-positron annihilation data for precision physics.
  • This work sets a new standard for perturbative calculations in multi-jet final states.