One-loop Fierz transformations
Abstract
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.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- October 2022
- DOI:
- 10.1007/JHEP10(2022)090
- arXiv:
- arXiv:2208.10513
- Bibcode:
- 2022JHEP...10..090A
- Keywords:
-
- Effective Field Theories;
- Renormalization Group;
- High Energy Physics - Phenomenology
- E-Print:
- 40 pages, 3 figures