Comment on 'Primary Dimensions'
arXiv:2607.13958 · doi:10.1140/epjc/s10052-026-16046-8
The authors argue that the concept of primary dimensions for organizing chiral Lagrangians is inconsistent and explain the correct power‑counting based on chiral dimensions, especially for the electroweak chiral Lagrangian with a light Higgs.
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.
3 pages, no figures, comment on arXiv:1601.07551 and arXiv:2511.23410