Work

On-shell renormalization scheme for $${{\mathcal {N}}}=1$$ SQED and the NSVZ relation

Year: 2019

Type: article

Abstract: In this paper we investigate the renormalization of $$\mathcal{N}=1$$ supersymmetric quantum electrodynamics, regularized by higher derivatives, in the on-shell scheme. It is demonstrated that in this scheme the exact Novikov, Shifman, Vainshtein, and Zakharov (NSVZ) equation relating the $$\beta $$ -function to the anomalous dimension of the matter superfields is valid in all orders of the perturbation theory. This implies that the on-shell scheme enters the recently constructed continuous set of NSVZ subtraction schemes. To verify this statement, we compare the anomalous dimension of the matter superfields in the two-loop approximation and the $$\beta $$ -function in the three-loop approximation, which are explicitly calculated in this scheme. The finite renormalizations relating the on-shell scheme to some other NSVZ subtraction schemes formulated previously are obtained.

Source: The European Physical Journal C

DOI: 10.1140/epjc/s10052-019-6993-z

Authors: A. L. Kataev, A. E. Kazantsev, K. V. Stepanyantz

Institutions: Moscow Institute of Physics and Technology, Institute for Nuclear Research, Lomonosov Moscow State University

Language: English

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Foundation for the Advancement of Theoretical Physics and Mathematics

OpenAlex ID: W2994732284