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Finiteness of the triple gauge-ghost vertices in N=1 supersymmetric gauge theories: the two-loop verificationстатья
Статья опубликована в высокорейтинговом журнале
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 16 марта 2022 г.
- Авторы: Kuzmichev M.D., Meshcheriakov N.P., Novgorodtsev S.V., Shatalova V.V., Shirokov I.E., Stepanyantz K.V.
- Журнал: European Physical Journal C
- Том: 82
- Номер: 1
- Год издания: 2022
- Издательство: Springer Verlag
- Местоположение издательства: Germany
- Номер статьи: 69
- DOI: 10.1140/epjc/s10052-021-09934-8
- Аннотация: By an explicit calculation we demonstrate that the triple gauge-ghost vertices in a general renormalizable ${\cal N}=1$ supersymmetric gauge theory are UV finite in the two-loop approximation. For this purpose we calculate the two-loop divergent contribution to the $\bar c^+ V c$-vertex proportional to $(C_2)^2$ and use the finiteness of the two-loop contribution proportional to $C_2 T(R)$ which has been checked earlier. The theory under consideration is regularized by higher covariant derivatives and quantized in a manifestly ${\cal N}=1$ supersymmetric way with the help of ${\cal N}=1$ 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 $\xi$-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 $\beta$-function.
- Добавил в систему: Степаньянц Константин Викторович