A five-fold Mellin-Barnes integral for the massless box diagram is reduced to a two-fold triangle integral using analytical regularization and residue calculus, without Barnes lemmas.
The solution to Slavnov-Taylor identities in D4 N=1 SYM
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D4 N=1 SYM with an arbitrary chiral background superfield as the gauge coupling is considered. The solution to Slavnov-Taylor identities has been given. It has been shown that the solution is unique and allows us to restrict the gauge part of the effective action. Under the effective action in this paper we mean the 1PI diagram generator.
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A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals
A five-fold Mellin-Barnes integral for the massless box diagram is reduced to a two-fold triangle integral using analytical regularization and residue calculus, without Barnes lemmas.