$ZZ\rightarrow ZZ$, $ZZ\rightarrow W^+ W^-$, etc.
Are these interactions possible?
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2$\begingroup$ Yes. See, e.g., arxiv.org/abs/1201.0537 , fig.10 $\endgroup$– xi45Commented May 4, 2016 at 17:11
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1$\begingroup$ They're not just possible. They're unavoidable by gauge invariance in the presence of the kinetic terms $F_{\mu\nu}F^{\mu\nu}$ for the gauge fields. $\endgroup$– Luboš MotlCommented May 4, 2016 at 17:32
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1$\begingroup$ Ahemm... not so fast. the second one is, of course, but a 4-Z tree coupling is not present in the tree gauge lagrangian: basically there is no nonvanishing trace of a product of two commutators only involving $\tau_3$s. $\endgroup$– Cosmas ZachosCommented May 4, 2016 at 19:23
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$\begingroup$ ...But you could get a tree 4-Z coupling by exchange of a Higgs, from the Higgs part of the lagrangian. $\endgroup$– Cosmas ZachosCommented May 4, 2016 at 19:37
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