| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8187630 | Physics Letters B | 2013 | 6 Pages |
Abstract
We show that naive dimensional analysis (NDA) is equivalent to the result that L-loop scattering amplitudes have perturbative order N=L+Î, with a shift Î that depends on the NDA-weight of operator insertions. The NDA weight of an operator is defined in this Letter, and the general NDA formula for perturbative order N is derived. The formula is used to explain why the one-loop anomalous dimension matrix for dimension-six operators in the Standard Model effective field theory has entries with perturbative order ranging from 0 to 4. The results in this Letter are valid for an arbitrary effective field theory, and they constrain the coupling constant dependence of anomalous dimensions and scattering amplitudes in a general effective field theory.
Related Topics
Physical Sciences and Engineering
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Nuclear and High Energy Physics
Authors
Elizabeth E. Jenkins, Aneesh V. Manohar, Michael Trott,