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Related Experiment Video

Updated: Jan 20, 2026

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Weyl Consistency Conditions and γ_{5}.

C Poole1, A E Thomsen1

  • 1CP3-Origins, University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark.

Physical Review Letters
|September 7, 2019
PubMed
Summary

Ambiguities in quantum field theory calculations involving gamma-5 are resolved. A new method provides a scheme-independent relation, fixing calculation uncertainties in standard model beta functions and Yukawa interactions.

Area of Science:

  • Quantum Field Theory
  • High Energy Physics
  • Theoretical Physics

Background:

  • Dimensional regularization introduces ambiguities in calculations involving the gamma-5 matrix.
  • These ambiguities affect precise calculations of standard model parameters, such as gauge beta functions.

Purpose of the Study:

  • To resolve ambiguities arising from the treatment of gamma-5 in dimensional regularization.
  • To establish a scheme-independent method for fixing these ambiguities in field-theoretic calculations.

Main Methods:

  • Application of Weyl consistency conditions.
  • Derivation of a relation between coefficients in gauge and Yukawa beta functions.

Main Results:

  • A scheme-independent relation is established between a term in four-loop gauge beta functions and a corresponding term in three-loop Yukawa beta functions.

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  • This relation resolves ambiguities related to the treatment of gamma-5.

    • Conclusions:

    • The developed method successfully fixes ambiguities in standard model calculations.
    • The approach is extendable to resolve similar ambiguities at higher orders in perturbation theory.