https://doi.org/10.1140/epjc/s10052-021-09934-8
Regular Article - Theoretical Physics
Finiteness of the triple gauge-ghost vertices in 
supersymmetric gauge theories: the two-loop verification
1
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
Received:
14
November
2021
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
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