Regular Article - Theoretical Physics
Finiteness of the triple gauge-ghost vertices in supersymmetric gauge theories: the two-loop verification
Department of Theoretical Physics, Faculty of Physics, Moscow State University, 119991, Moscow, Russia
2 Department of Physics, AESC MSU-Kolmogorov Boarding School, Moscow State University, 119192, Moscow, Russia
3 Department of Quantum Theory and High Energy Physics, Faculty of Physics, Moscow State University, 119991, Moscow, Russia
Accepted: 8 December 2021
Published online: 24 January 2022
By an explicit calculation we demonstrate that the triple gauge-ghost vertices in a general renormalizable supersymmetric gauge theory are UV finite in the two-loop approximation. For this purpose we calculate the two-loop divergent contribution to the -vertex proportional to and use the finiteness of the two-loop contribution proportional to which has been checked earlier. The theory under consideration is regularized by higher covariant derivatives and quantized in a manifestly supersymmetric way with the help of superspace. The two-loop finiteness of the vertices with one external line of the quantum gauge superfield and two external lines of the Faddeev–Popov ghosts has been verified for a general -gauge. This result agrees with the nonrenormalization theorem proved earlier in all orders, which is an important step for the all-loop derivation of the exact NSVZ -function.
© The Author(s) 2022
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3