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Improving jet distributions with effective field theory.

Christian W Bauer1, Matthew D Schwartz

  • 1Ernest Orlando Lawrence Berkeley National Laboratory and University of California, Berkeley, California 94720, USA. cwbauer@lbl.gov

Physical Review Letters
|December 13, 2006
PubMed
Summary
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We present perturbative calculations for jet distributions using Soft-Collinear Effective Theory (SCET). This framework reproduces Quantum Chromodynamics (QCD) matrix elements and parton showers, offering a systematically improvable method for higher-order effects.

Area of Science:

  • High Energy Physics
  • Quantum Chromodynamics
  • Particle Physics

Background:

  • Jet distributions are crucial for understanding particle interactions at high energies.
  • Existing methods often face challenges in systematically incorporating higher-order corrections.
  • Soft-Collinear Effective Theory (SCET) offers a powerful framework for studying these phenomena.

Purpose of the Study:

  • To derive perturbative expressions for jet distributions using SCET.
  • To demonstrate the ability of SCET to reproduce Quantum Chromodynamics (QCD) results.
  • To establish SCET as a systematically improvable method for high-energy physics calculations.

Main Methods:

  • Matching SCET to QCD at high energy scales.
  • Utilizing renormalization group evolution to transfer information to lower scales.

Related Experiment Videos

  • Implementing threshold matchings to populate effective theory operators.

    • Main Results:

    • SCET successfully reproduces tree-level matrix elements and higher-order virtual corrections of QCD.
    • Renormalization group evolution and threshold matchings accurately yield Sudakov factors and splitting functions.
    • The effective theory naturally integrates QCD matrix elements with parton showers.

    Conclusions:

    • SCET provides a robust and systematically improvable method for calculating jet distributions.
    • This approach effectively combines perturbative QCD calculations with parton shower phenomena.
    • The framework allows for the inclusion of arbitrary higher-order perturbative effects through a well-defined procedure.