Dipole operators in Fierz identities

Abstract

We study the contribution from dipole operators to one-loop Fierz identities and provide the resulting QCD and QED shifts to the tree-level relations for all four-fermion operators. The results simplify one-loop basis changes as well as matching computations and allow one to consistently eliminate operators from an operator basis which give rise to complications, e.g. traces involving ${\gamma }_5$.

arXiv comment6 pages, 2 figures, 5 tables. Updated to match published version

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Cited by in corpus (5)

• The Standard Model effective field theory at work
• Functional Matching and Renormalization Group Equations at Two-Loop Order
• Computing Tools for Effective Field Theories
• Renormalization scheme factorization of one-loop Fierz identities
• On the two-loop penguin contributions to the Anomalous Dimensions of four-quark operators