Exact β-functions for N=1 supersymmetric theories finite in the lowest loopsстатья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 15 июля 2021 г.
Аннотация:We consider a one-loop finite N=1 supersymmetric theory in such a renormalization scheme that the first L contributions to the gauge β-function and the first (L−1) contributions to the anomalous dimension of the matter superfields and to the Yukawa β-function vanish. It is demonstrated that in this case the NSVZ equation and the exact equation for the Yukawa β-function in the first nontrivial order are valid for an arbitrary renormalization prescription respecting the above assumption. This implies that under this assumption the (L+1)-loop contribution to the gauge β-function and the L-loop contribution to the Yukawa β-function are always expressed in terms of the L-loop contribution to the anomalous dimension of the matter superfields. This statement generalizes the result of Grisaru, Milewski, and Zanon that for a theory finite in L loops the (L+1)-loop contribution to the β-function also vanishes. In particular, it gives a simple explanation why their result is valid although the NSVZ equation does not hold in an arbitrary subtraction scheme.