Structure of quantum corrections in $\mathcal{N}=1$ supersymmetric gauge theories

Abstract

Some recent research of quantum corrections in $\mathcal{N}=1$ supersymmetric theories is briefly reviewed. The most attention is paid to the theories regularized by higher covariant derivatives. In particular, we discuss, how the NSVZ and NSVZ-like relations appear with this regularization and how one can construct the NSVZ scheme in all orders.

arXiv comment20 pages, 1 figure, Contribution to Proceedings of the 20th Workshop "What Comes Beyond the Standard Model" (July 9-17, 2017, Bled, Slovenia)

References in corpus (3)

• New form of the NSVZ relation at the two-loop level
• The Adler $D$-function for $\mathcal{N}=1$ SQCD regularized by higher covariant derivatives in the three-loop approximation
• Factorization of integrals defining the two-loop beta-function for the general renormalizable N=1 SYM theory, regularized by the higher covariant derivatives, into integrals of double total derivatives

Cited by in corpus (1)

• A class of the NSVZ renormalization schemes for $\mathcal{N}=1$ SQED