Perturbative running of the topological angles
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 independent 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.
Keywords
Cite
@article{arxiv.2210.09328,
title = {Perturbative running of the topological angles},
author = {Alessandro Valenti and Luca Vecchi},
journal= {arXiv preprint arXiv:2210.09328},
year = {2023}
}
Comments
19 pages plus appendix, 1 figure. v2: version published in JHEP