Anomalous Dimension of a General Effective Gauge Theory I: Bosonic Sector

• DOI: 10.48550/arxiv.2502.14030
• Publication Date: 2025-02-19
• Authors: Jason Aebischer; L. C. Bresciani; Nudžeim Selimović
• Keywords: High Energy Physics - Theory; High Energy Physics - Phenomenology; High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th); FOS: Physical sciences

We classify the physical operators of most general bosonic effective gauge theory up to dimension six using on-shell methods. Based on this classification, we compute complete one-loop anomalous employing both unitarity-based and geometric techniques. Our analysis fully accounts for mixing with different dimensions. The results broadly apply any Effective Field Theory arbitrary symmetry degrees freedom. To illustrate their utility, perform a cross-check renormalization Standard Model (SMEFT), $O(n)$ scalar theory, SMEFT extended an axion-like particle. Additionally, present new particles CP-violating interactions.