https://doi.org/10.1140/epjc/s10052-019-6993-z
Regular Article - Theoretical Physics
On-shell renormalization scheme for 
SQED and the NSVZ relation
1
Institute for Nuclear Research of the Russian Academy of Sciences, 117312, Moscow, Russia
2
Moscow Institute of Physics and Technology, 141700, Dolgoprudny, Moscow Region, Russia
3
Department of Quantum Theory and High Energy Physics, Faculty of Physics, Moscow State University, 119991, Moscow, Russia
4
Department of Theoretical Physics, Faculty of Physics, Moscow State University, 119991, Moscow, Russia
* e-mail: stepan@m9com.ru
Received:
13
May
2019
Accepted:
25
May
2019
Published online:
5
June
2019
In this paper we investigate the renormalization of 
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 
-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 -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.
© The Author(s), 2019
