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Related Experiment Video

Updated: Apr 16, 2026

Setting Limits on Supersymmetry Using Simplified Models
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Three loop cusp anomalous dimension in QCD.

Andrey Grozin1, Johannes M Henn2, Gregory P Korchemsky3

  • 1Budker Institute of Nuclear Physics SB RAS, Novosibirsk 630090, Russia and Novosibirsk State University, Novosibirsk 630090, Russia.

Physical Review Letters
|February 28, 2015
PubMed
Summary
This summary is machine-generated.

We derived the full analytic result for the three loop angle-dependent cusp anomalous dimension in Quantum Chromodynamics (QCD). This breakthrough allows prediction of infrared divergences in massive particle scattering processes and aids in understanding gauge theory universality.

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Area of Science:

  • High Energy Physics
  • Quantum Field Theory
  • Particle Physics

Background:

  • Anomalous dimensions are crucial for understanding quantum field theories.
  • Predicting infrared divergences in scattering processes is a key challenge.
  • The cusp anomalous dimension plays a vital role in perturbative QCD.

Purpose of the Study:

  • To compute the full analytic result for the three loop angle-dependent cusp anomalous dimension in QCD.
  • To enable prediction of infrared divergences for planar scattering processes with massive particles.
  • To explore the universality of related quantities in gauge theories.

Main Methods:

  • Analytic calculation of the three loop cusp anomalous dimension.
  • Definition of an effective coupling using the lightlike cusp anomalous dimension.
  • Analysis of universality across different gauge theories.

Main Results:

  • The complete analytic result for the three loop angle-dependent cusp anomalous dimension in QCD is obtained.
  • Infrared divergences of planar scattering processes with massive particles can be predicted to the three loop order.
  • Evidence for the universality of a related effective coupling is found, enabling prediction of nonplanar terms in the four loop cusp anomalous dimension.

Conclusions:

  • The presented result offers a significant advancement in the perturbative calculation of scattering processes.
  • The universality of the effective coupling suggests deeper connections within gauge theories.
  • This work paves the way for more precise predictions in high energy physics.