Perturbative running of the topological angles

Journal of High Energy Physics

Regular Article - Theoretical Physics

Alessandro Valenti¹  Luca Vecchi² 

[1] Dipartamento di Fisica e Astronomia “G. Galilei”, Università di Padova, Via F. Marzolo 8, 35131, Padova, Italy;Istituto Nazionale di Fisica Nucleare, Sezione di Padova, I-35131, Padova, Italy;Istituto Nazionale di Fisica Nucleare, Sezione di Padova, I-35131, Padova, Italy;

关键词: CP Violation;    Gauge Symmetry;    Renormalization and Regularization;   

DOI  :  10.1007/JHEP01(2023)131

 received in 2022-11-14, accepted in 2023-01-09,  发布年份 2023

来源: Springer

【 摘 要 】

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.

【 授权许可】

Unknown   
© The Author(s) 2023

【 图 表 】

Fig. 5