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Anomalous Dimension of a General Effective Gauge Theory I: Bosonic Sector
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We classify the physical operators of the most general bosonic effective gauge theory up to dimension six using on-shell methods. Based on this classification, we compute the complete one-loop anomalous dimension employing both on-shell unitarity-based and geometric techniques. Our analysis fully accounts for the mixing of operators with different dimensions. The results broadly apply to any Effective Field Theory with arbitrary gauge symmetry and bosonic degrees of freedom. To illustrate their utility, we perform a complete cross-check of results on the renormalization of the Standard Model Effective Field Theory (SMEFT), $O(n)$ scalar theory, and the SMEFT extended with an axion-like particle. Additionally, we present new results for axion-like particles with CP-violating interactions.
Forward citations
Cited by 4 Pith papers
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Amplitudes and partial wave unitarity bounds
Develops spinor-helicity formalism generalizing partial wave unitarity bounds for multi-particle scattering and spin-2 or higher-spin theories.
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Renormalization of the SMEFT to Dimension Eight: Fermionic Interactions II
Computes one-loop mixing of bosonic and two-fermion interactions into two-fermion operators in dim-8 SMEFT, leaving only four-fermion to two-fermion mixing to finish the renormalization program.
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The Art of Counting: a reappraisal of the HEFT expansion
HEFT admits two consistent power counting schemes, one with a single low-energy scale v and one with two scales v < f, each allowing systematic truncation of operators and amplitudes for any normalization choice.
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Recent Developments in SMEFT: Theory, Tools, and Phenomenology
A review summarizing recent theory, tools, and phenomenology in the Standard Model Effective Field Theory.
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