# Pedagogic reference for calculation of 2-loop anomalous dimension (supersymmetric)

I want to know of pedagogic references which teach how to compute anomalous dimensions (..wave-function renormalization..) at lets say 2-loops. I guess there might be specialized techniques for supersymmetric theories and especially may be adapted for $2+1$ dimensions.

• I have in mind being able to understand calculations like say in this paper in Appendix D starting on page 39.

I found the treatment of this subject in books like Peskin and Schroeder very sketchy and not explanatory enough. I would like to know of any more detailed "modern" reference which will help lets say with the calculation linked above.

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The case of one-loop (and higher) anomalous dimensions in $\mathcal{N}=4$ SYM is discussed a bit in the recent reviews in arXiv:1012.3983 and arXiv:1012.3984. The same techniques are useful also in the case of supersymmetric Chern-Simons, see eg the two-loop case in arXiv:0806.3951, or the four-loop calculations in arXiv:0912.3460 or arXiv:1010.1756.
If you rather want textbooks that give general introductions to the renormalization of local operators I like Collins, "Renormalization" and Kleinert, "Critical properties of $\phi^4$-theories". I'm not sure if they are very modern, but they describe the calculation of renormalization coefficients very explicitly.