Issue |
EPJ Web Conf.
Volume 191, 2018
XXth International Seminar on High Energy Physics (QUARKS-2018)
|
|
---|---|---|
Article Number | 06002 | |
Number of page(s) | 8 | |
Section | Modern Field Theory and Mathematical Physics | |
DOI | https://doi.org/10.1051/epjconf/201819106002 | |
Published online | 31 October 2018 |
https://doi.org/10.1051/epjconf/201819106002
Supersymmetry, quantum corrections, and the higher derivative regularization
Moscow State University, Faculty of Physics, Department of Theoretical Physics, 119991, Moscow, Russia
* e-mail: stepan@m9com.ru 1For a recent discussion see Ref. [6].
Published online: 31 October 2018
We investigate the structure of quantum corrections in N = 1 supersymmetric theories using the higher covariant derivative method for regularization. In particular, we discuss the non-renormalization theorem for the triple gauge-ghost vertices and its connection with the exact NSVZ β-function. Namely, using the finiteness of the triple gauge-ghost vertices we rewrite the NSVZ equation in a form of a relation between the β-function and the anomalous dimensions of the quantum gauge superfield, of the Faddeev-Popov ghosts, and of the matter superfields. We argue that it is this form that follows from the perturbative calculations, and give a simple prescription how to construct the NSVZ scheme in the non-Abelian case. These statements are confirmed by an explicit calculation of the three-loop contributions to the β-function containing Yukawa couplings. Moreover, we calculate the two-loop anomalous dimension of the ghost superfields and demonstrate that for doing this calculation it is very important that the quantum gauge superfield is renormalized non-linearly.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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