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One-loop Fierz Transformations

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

classification hep-ph
keywords one-loopoperatorstransformationsbasisfierzgeneralresultsused
verification ladder T0 review T1 audit T2 compute T3 formal
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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. Full citation record

  1. Renormalization of general Effective Field Theories: Formalism and renormalization of bosonic operators

    hep-ph 2025-01 conditional novelty 7.0 of 10

    The authors compute, for the first time, the one-loop renormalization group equations of the bosonic operators of a completely general EFT up to mass dimension 6.

  2. Effective theory of light Dirac neutrino portal dark matter with observable ${\Delta N_{\rm eff}}$

    hep-ph 2025-02 conditional novelty 5.0 of 10

    A dark matter candidate interacting only with right-handed neutrinos is shown to produce ΔNeff ≥ 0.21, testable by future CMB experiments.

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