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Symmetries play a big role in modern physics and have been a source of powerful tools and techniques for understanding theories and their dynamics. We say that something is symmetric if there is some transformation we can perform on that object that leaves some property unchanged. The set of symmetry transformations of an object forms a group, and the name of this group is used as the name of the symmetry of the object.

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Symmetry factor of $n$-point one-loop diagram

Cheng and Li's appendix gives the generic symmetry factor $S^{-1}$ with $$S=g\prod_{n\geq 2}2^{\beta}(n!) … So the symmetry factor of the diagram is just one. That is not to say that there aren't many ($(N-1)! …
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