The three-loop Adler D-function for \cal N=1 SQCD with various renormalization prescriptions

2020/01/09 by S. S. Aleshin, A. L. Kataev, Aleshin, S. S. +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2001.03097

openalex publication_date 2020/01/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The three-loop Adler D-function for \cal N=1 SQCD in the DR scheme is calculated. It appears that the result does not satisfy NSVZ-like equation which relates the D-function to the anomalous dimension of the matter superfields. However this NSVZ-like equation can be restored by a special tuning of the renormalization scheme. Also we demonstrate that the D-function defined in terms of the bare coupling does not satisfy the NSVZ-like equation in the case of using the regularization by dimensional reduction. The scheme-dependence of the D-function written in the form of the β-expansion is briefly discussed.

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