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arxiv: 2208.10513 · v1 · pith:JDS7QT4V · submitted 2022-08-22 · hep-ph

One-loop Fierz Transformations

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classification hep-ph
keywords one-loopoperatorstransformationsbasisfierzgeneralresultsused
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Fierz transformations for four-fermion operators are generalized to the one-loop level. A general renormalization scheme is used to compute QCD and QED corrections to the tree-level relations, which result from Fierz-evanescent operators. The results can be used to perform general one-loop basis transformations involving four-fermi and evanescent operators. We illustrate the usefulness of our results by discussing two examples from a matching calculation and a one-loop basis change.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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    Derives the full two-loop ADM for four-fermion operators in LEFT in NDR scheme including O(α_s²), O(α_s α) and O(α²) terms, with results for 5/4/3 active flavors implemented in DsixTools.