Renormalization of the pseudoscalar operator at four loops in QCD

2024/10/24 by Long Chen, Chen, Long, M. Czakon +3 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2410.18674

openalex publication_date 2024/10/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We present the renormalization constant of the pseudoscalar operator defined with a non-anticommuting γ₅ in dimensional regularization up to four-loop order in perturbative Quantum Chromodynamics (QCD). Furthermore, by virtue of renormalization-group invariance of the relation between the scalar and the pseudoscalar operator, we predict the MS factor of the renormalization constant for the latter at five-loop order in QCD.

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