SU(2) Kinetic Mixing Terms and Spontaneous Symmetry Breaking

Understand

The non-abelian generalization of the Holdom model --{\it i.e.} a theory with two gauge fields coupled to the kinetic mixing term $g {tr}(F_{\mu \nu} (A) F_{\mu \nu} (B))$-- is considered.

• Contrarily to the abelian case, the group structure $G\times G$ is explicitly broken to $G$.
• For SU(2) this fact implies that the residual gauge symmetry as well as the Lorentz symmetry is spontaneusly broken.
• We show that this mechanism provides of masses for the involved particles.