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Effective Field Theory for Jet Processes.

Thomas Becher1, Matthias Neubert2,3, Lorena Rothen1

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This summary is machine-generated.

Researchers developed a new effective field theory to analyze narrow jet processes. This theory introduces collinear-soft particles, enabling a complete factorization formula for cone-jet processes and controlling higher-order corrections.

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Area of Science:

  • High Energy Physics
  • Quantum Field Theory
  • Particle Physics

Background:

  • Narrow jet processes in particle physics are subject to perturbative corrections.
  • These corrections involve logarithms of jet opening angles and energy ratios.
  • Existing theories struggle to fully describe the complexities of these corrections.

Purpose of the Study:

  • To develop an effective field theory (EFT) for analyzing narrow cone-jet processes.
  • To introduce and describe the role of collinear-soft degrees of freedom in these processes.
  • To establish a factorization formula for cone-jet processes that separates different energy scales.

Main Methods:

  • Analysis of cone-jet processes using an effective field theory framework.
  • Identification of necessary degrees of freedom, including simultaneously soft and collinear fields.
  • Development of a multi-Wilson-line structure for higher-order operators.

Main Results:

  • The description of narrow jets requires degrees of freedom that are simultaneously soft and collinear.
  • These collinear-soft particles resolve individual collinear partons, leading to complex operator structures.
  • A novel factorization formula for cone-jet processes is derived, separating physics at different scales.

Conclusions:

  • The developed EFT provides a comprehensive framework for understanding narrow jet physics.
  • Renormalization-group equations derived from this EFT control all logarithmically enhanced higher-order terms.
  • This approach successfully addresses nonglobal logarithms in higher-order perturbative corrections.