Abstract We show that the concept of primary dimensions , first introduced in 1 as an organizing principle for chiral Lagrangians, is inconsistent. Although this had been pointed out already in 2, the notion of primary dimensions has re-appeared in recent literature. We briefly comment on the proper power counting for such effective field theories, including the electroweak chiral Lagrangian with a light Higgs, which is based on chiral dimensions, equivalent to the counting of loop orders.
Buchalla et al. (2026) studied this question.
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