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Constraints on anomalous dimensions from the positivity of the S-matrix
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We show that the analyticity and crossing symmetry of the S-matrix, together with the optical theorem, impose restrictions on the renormalisation group evolution of dimension-eight operators in the Standard Model Effective Field Theory. Moreover, in the appropriate basis of operators, the latter manifest as zeros in the anomalous dimension matrix that, to the best of our knowledge, have not been anticipated anywhere else in the literature. Our results can be trivially extended to other effective field theories.
Forward citations
Cited by 2 Pith papers
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Positivity and partial wave unitarity bounds on ALP theories via amplitude methods
Complete partial-wave unitarity and positivity bounds are derived for ALP effective interactions up to dimension 8, with new SMEFT positivity constraints as a byproduct.
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Renormalization of effective field theories via on-shell methods: the case of axion-like particles
Complete one-loop anomalous dimension matrix for a CP-violating ALP effective field theory, derived via on-shell unitarity methods and extended to dimension-6 SMEFT operators.
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