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***NSBC-QF-005 Graphs and Expressions for Higher-Loop Effective Quantum Action**

**Abstract**

We present the Feynman graphs and the corresponding expressions, up to 4th loop order, for a generic effective quantum field theory action. Whereas there are 2 graphs in the 2-loop order, and 8 graphs in the 3-loop order, we obtain 43 irreducible graphs in the 4-loop order. These results are obtained using Mathematica programming, where the underlying code is capable of generating graphs and expressions to any desired loop order. We explain the associated programming strategy.

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nazirbaaklini@yahoo.com **