Abstract
We argue that in general renormalizable field theories the topological angles may develop an additive beta function starting no earlier than 2-loop order. The leading expression is uniquely determined by a single model-independent coefficient. The associated divergent diagrams are identified and a few methods for extracting the beta function in dimensional regularization are discussed. We show that the peculiar nature of the topological angles implies non-trivial constraints on the anomalous dimension of the CP-violating operators and discuss how a non-vanishing beta function affects the Weyl consistency conditions. Some phenomenological considerations are presented.
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Valenti, A., Vecchi, L. Perturbative running of the topological angles. J. High Energ. Phys. 2023, 131 (2023). https://doi.org/10.1007/JHEP01(2023)131
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DOI: https://doi.org/10.1007/JHEP01(2023)131