Can GUTs Explain Yukawa Couplings?

[Jim Kata]

I don't know that much about GUT's, but am interested in them. My question is can they be used to explain the Yukawa coupling constants like $$G_e$$ which appear in terms like:
$$L_{\phi e} = - G_e \left( {\begin{array}{*{20}c} {\bar \upsilon _e } \\ {\bar e} \\ \end{array} } \right)_L \left( {\begin{array}{*{20}c} {\phi ^ + } \\ {\phi ^0 } \\ \end{array} } \right)e_R$$

If so, how does this work.

 

[kdv]

I don't know that much about GUT's, but am interested in them. My question is can they be used to explain the Yukawa coupling constants like $$G_e$$ which appear in terms like:
$$L_{\phi e} = - G_e \left( {\begin{array}{*{20}c} {\bar \upsilon _e } \\ {\bar e} \\ \end{array} } \right)_L \left( {\begin{array}{*{20}c} {\phi ^ + } \\ {\phi ^0 } \\ \end{array} } \right)e_R$$

If so, how does this work.

My understanding is that GUT do no explain the Yukawa couplings in the sense of providing a deeper explanation but they *reduce* the number of independent Yukawa couplings because the particles are grouped in larger multiplets. So, for example, the Yukawa coupling of the quarks are related to those of the leptons of the same generation and so on.

 

[sir-pinski]

Yes, Grand Unified Theories (GUTs) can potentially explain Yukawa couplings. In fact, GUTs were originally proposed as a way to unify the strong, weak, and electromagnetic forces, and one of the predictions of this unification is the existence of Yukawa couplings. These couplings are responsible for the mass of fermions, which are the building blocks of matter.

In GUTs, the standard model particles are thought to be composed of more fundamental particles called "preons." The interactions between these preons are described by a single unified force, which is then broken down into the three familiar forces at lower energies.

The Yukawa couplings arise from the interactions between the preons and the Higgs field, which is responsible for giving particles mass. The strength of these interactions is determined by the GUT coupling constant, which is a fundamental parameter of the theory.

So, in short, GUTs can provide an explanation for the Yukawa couplings by incorporating them into the unification of the fundamental forces. However, the exact details of how this works and the specific values of the Yukawa couplings are still being studied and refined by physicists.