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A simple dirac prescription for two-loop anomalous dimension matrices.

Jason Aebischer1, Marko Pesut1, Zachary Polonsky1

  • 1Physik-Institut, Universität Zürich, 8057 Zurich, Switzerland.

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|July 30, 2024
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Summary
This summary is machine-generated.

A new method simplifies next-to-leading order (NLO) calculations by removing evanescent operator contributions. This approach enhances efficiency and is compatible with various renormalization schemes for improved accuracy.

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Area of Science:

  • High Energy Physics
  • Quantum Field Theory
  • Computational Physics

Background:

  • Next-to-leading order (NLO) calculations in quantum field theory are essential for precise predictions.
  • Evanescent operators pose challenges in NLO computations, complicating the separation of physical and unphysical contributions.
  • Existing methods require complex treatments and can be scheme-dependent.

Purpose of the Study:

  • To introduce a novel and simplified method for handling evanescent operators in NLO computations.
  • To demonstrate the ability to discard evanescent-to-physical mixing contributions.
  • To develop a method independent of specific renormalization treatments.

Main Methods:

  • A new computational technique is presented to address evanescent operators.
  • The method focuses on simplifying the treatment of mixing contributions.
  • Independence from specific renormalization schemes is a key feature.

Main Results:

  • The proposed method allows for the direct discarding of evanescent-to-physical mixing terms.
  • The approach is shown to be independent of the treatment of and .
  • Literature results for two-loop anomalous dimension matrices were successfully reproduced.

Conclusions:

  • The novel method offers significant simplifications in NLO calculations.
  • Its independence from renormalization schemes enhances its versatility.
  • This technique provides a robust tool for advancing precision in high-energy physics computations.