Electromagnetic properties of Z and $\gamma$ self- couplings interactions

Abstract

The couplings of three gauge bosons $ZZ\gamma$*, $Z\gamma\gamma$*, $Z\gamma Z$*and ZZZ* are found in the electroweak standard model at one loop level. Bosonic one loop diagrams do not contribute to these couplings and only fermionic contributions survive. Ward identities and Bose symmetry are checked. Only the anapole dipole moment characterizes the electromagnetic properties of $ZZ\gamma$*, $Z\gamma\gamma$*, $Z\gamma Z$*and ZZZ*interactions