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Debate topic for Effective Field Theory (EFT) is the choice of a "basis" for $\mrdim = 6$ operators Clearly all bases are equivalent as long as they are a "basis", containing a minimal set of operators after the use of equations of motion and respecting gauge invariance.
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I. A. Batalin, K. Bering, Reparametrization-Invariant Effective Action in Field-Antifield Formalism, Int. J. Mod. Phys. A28 (2013) 1350027 · 2013
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M. Ghezzi, R. Gomez-Ambrosio, G. Passarino, S. Uccirati, NLO Higgs effective field theory and kappa-framework, JHEP 07 (2015) 175 · 2015
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G. Passarino, M. Trott, The Standard Model Effective Field Theory and Next to Leading Order, LHCHXSWG-DRAFT-INT-2016-005, https://cds.cern.ch/record/ 2138031 2138031 (2016)
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G. Passarino, M. Trott, The Standard Model Effective Field Theory and Next to Leading Order , 2016 · 2016
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