L-violation

The simplest GUT model [10], namely the SU(5) unification and its super-symmetric extension, is almost certainly ruled out from many reasons lack of proton decay at the predicted lifetime level, inability to produce neutrino masses, and so on. On the other hand, the next target, SO(IO) models, and their SUSY extensions in particular, are very promising. It has just the needed component of the right handed Majorana lepton for realization of the seesaw mechanism. The models also accommodates B - L violation which is needed for baryogenesis, as is explained later. 

Three main contenders for baryogenesis are GUT genesis, leptogenesis, and SUSY scenarios. The GUT scenario is still alive, for instance in models based on SO(IO) with B - L violation. The best candidate for B-genesis is the colored triplet of Higgs boson Xh, which has 2 types of channels with different baryon numbers, q l and q q. 

Lepton Family number (LF) or Lepton number (L) violating modes... 

AC = 1 weak neutral current (Cl) modes, Lepton Family number (LF) violating modes, or Lepton number (L) violating modes... 

AC = 1 weak neutral cunent (Cl) modesTor Lepton nimber (L) violating model... 

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