English

A Simple Dirac Prescription for Two-Loop Anomalous Dimension Matrices

High Energy Physics - Phenomenology 2024-08-06 v2

Abstract

A novel method to treat effects from evanescent operators in next-to-leading order (NLO) computations is introduced. The approach allows, besides further simplifications, to discard evanescent-to-physical mixing contributions in NLO calculations. The method is independent of the treatments of γ5\gamma_5 and can therefore be combined with different renormalization schemes. We illustrate the utility of this result by reproducing literature results of two-loop anomalous dimension matrices for both ΔF=1|\Delta F| = 1 and ΔF=2|\Delta F| = 2 transitions.

Keywords

Cite

@article{arxiv.2401.16904,
  title  = {A Simple Dirac Prescription for Two-Loop Anomalous Dimension Matrices},
  author = {Jason Aebischer and Marko Pesut and Zachary Polonsky},
  journal= {arXiv preprint arXiv:2401.16904},
  year   = {2024}
}

Comments

31 pages, 3 figures, explanations and appendix added, matches published version

R2 v1 2026-06-28T14:31:34.701Z