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  Classic mass predictions from Left-Right models with discrete symmetries?

+ 5 like - 0 dislike

I am covering the classic literature on predictions of Cabibbo angle or other relationships in the mass matrix. As you may remember, this research was a rage in the late seventies, after noticing that $\tan^2 \theta_c \approx m_d/m_s$. A typical paper of that age was Wilczek and Zee Phys Lett 70B, p 418-420.

The technique was to use a $SU(2)_L \times SU(2)_R \times \dots $ model and set some discrete symmetry in the Right multiplets. Most papers got to predict the $\theta_c$ and some models with three generations or more (remember the third generation was a new insight in the mid-late seventies) were able to producte additional phases in relationship with the masses.

Now, what I am interested is on papers and models including also some prediction of mass relationships, alone, or cases where $\theta_c$ is fixed by the model and then some mass relationship follows.

A typical case here is Harari-Haut-Weyers (spires) It puts a symmetry structure such that the masses or up, down and strange are fixed to:

$m_u=0, {m_d\over m_s} = {2- \sqrt 3 \over 2 + \sqrt 3} $

Of course in such case $\theta_c$ is fixed to 15 degrees. But also $m_u=0$, which is an extra prediction even if the fixing of Cabibbo angle were ad-hoc.

Ok, so my question is, are there other models in this theme containing predictions for quark masses? Or was Harari et al. an exception until the arrival of Koide models?

This post has been migrated from (A51.SE)
asked Nov 23, 2011 in Theoretical Physics by anonymous [ no revision ]
retagged Apr 19, 2014 by dimension10
Also, published criticisms of these papers are welcome. I am aware of some for Harari et al.

This post has been migrated from (A51.SE)

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