A simple dirac prescription for two-loop anomalous dimension matrices

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.