标题： 有效相互作用中陈-西蒙斯玻色子和费米子之间的发散 显示英文标题

标题： Divergences in the effective interaction between Chern-Simons bosons and fermions

摘要： 我们考虑具有Chern-Simons类型相互作用的标准模型(SM)的矢量扩展。 这种扩展包含一个新的大质量矢量玻色子（Chern-Simons玻色子），它不与SM的费米子直接相互作用。 我们考虑新矢量玻色子与SM费米子的有效环状相互作用及其在任意规范下的可重整化性。 我们的分析表明，在Chern-Simons玻色子与相同味道的费米子之间的有效相互作用中，环状发散无法消除，而与不同味道的费米子的有效环状相互作用仍然定义良好。 由发散前因子表征的Chern-Simons玻色子与相同味道的费米子之间的相互作用项已被识别。 这些相互作用应在有效场论的框架内处理。 显示英文摘要

摘要： We consider the vector extension of the Standard Model (SM) with Chern-Simons type interaction. This extension contains a new massive vector boson (Chern-Simons boson) that does not interact directly with fermions of the SM. We consider the effective loop interaction of a new vector boson with fermions of the SM and its renormalizability in an arbitrary gauge. Our analysis shows that loop divergences cannot be eliminated in the effective interaction between Chern-Simons bosons and fermions of the same flavor, whereas the effective loop interaction with fermions of different flavors remains well-defined. The interaction terms between the Chern-Simons boson and fermions of the same flavor, characterised by divergent prefactors, have been identified. These interactions should be treated within the framework of effective field theory.