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RE: The end of the Run 2 of the Large Hadron Collider - the dawn of a new class of interactions
Ok, it is more clear now. It is another thing than gauge theories. It is a coupling for mesons which contributes to their Lagrangians for the interactions with scalars. I think you particle physicists use Dirac Lagrangians for 1/2 spin particles in order to put the mesons interaction into the system. Here the Yukawa interaction represents the interaction between Dirac and Scalar fields.
Those are not exactly the Yukawa interactions I am talking about, as the context here is the one of the fundamental particles (mesons are composite).