Flavour in SU(5) Finite Unified Theories

The search for relations among parameters that are renormalization group invariant to all orders in perturbation theory constitutes the basis of the reduction of couplings idea. Reduction of couplings can be achieved in N=1 Grand Unified Theories, few of which can become even all-loop finite. We review the basic idea and the resulting theories in which successful reduction of couplings has been achieved. In all of those the reduction was performed only on the third generation of quarks, leading to successful predictions for the quark masses and Higgs boson, and pointing to a heavy SUSY spectrum. We extend the analysis to include all three families and find the corresponding mass matrices. We identify viable models which are two- or all-loop finite and find the corresponding mass textures, leading to a considerable reduction in the number of parameters. Finally, we determine the minimum number of phases and their positions allowed, to further reduce the number of free parameters.

https://unam.zoom.us/j/84371291925?pwd=mMHwgWGPXLVvDPzGCaz3XR18mbaqDY.1

Meeting ID: 843 7129 1925
Passcode:   AEnergi4$