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Area of Science:

  • High-energy physics
  • Quantum field theory
  • Theoretical physics

Background:

  • Renormalization group (RG) beta-functions are crucial for understanding the behavior of couplings in quantum field theories.
  • Calculating these functions for generic four-dimensional gauge-Yukawa theories is complex, especially for realistic models.

Purpose of the Study:

  • To develop a computational tool for extracting RG beta-functions from general results.
  • To simplify the application of known beta-function calculations to specific, realistic models.

Main Methods:

  • Leveraging existing 3-2-2 loop order results for gauge, Yukawa, and quartic couplings.
  • Developing a Mathematica package, RGBeta, to automate beta-function extraction.
  • Providing example notebooks for practical application.

Main Results:

  • A procedure for extracting beta-functions from general theoretical results is described.
  • The RGBeta package is introduced, enabling efficient calculation of beta-functions for broad classes of models.
  • The package and associated notebooks are publicly available.

Conclusions:

  • RGBeta facilitates the application of theoretical RG calculations to realistic models.
  • The package streamlines the process of beta-function analysis in gauge-Yukawa theories.
  • Open access to the tool and examples promotes further research and model building.