Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-06-07
Phys.Lett.B381:137-146,1996
Physics
High Energy Physics
High Energy Physics - Phenomenology
24 pages (includes LaTeX figures)
Scientific paper
10.1016/0370-2693(96)00536-9
It is shown that in realistic SUSY GUT models of quark and lepton masses both the proton decay rate and branching ratios differ in general from those predicted in the minimal $SU(5)$ supersymmetric model. The observation of proton decay, and in particular the branching ratio $B[(p \rightarrow \pi^+ \overline{\nu})/(p \rightarrow K^+ \overline{\nu})]$, would thus allow decisive tests of these fermion mass schemes. It is shown that the charged lepton decay modes $p \rightarrow K^0 \mu^+, p \rightarrow K^0 e^+$ arising through gluino dressing diagrams are significant and comparable to the neutrino modes in large tan$\beta$ models. Moreover, it is found that in certain classes of models the Higgsino-mediated proton decay amplitudes are proportional to a model-dependent group-theoretical factor which in some cases can be quite small. The most interesting such class consists of $SO(10)$ models in which the dominant flavor-symmetric contribution to the up-quark mass matrix comes from an effective operator of the form ${\bf 16}_i{\bf 16}_j {\bf 10}_H {\bf 45}_H$, where $\langle {\bf 45}_H \rangle$ points approximately in the $I_{3R}$ direction. This class includes a recent model of quark and lepton masses proposed by the authors.
Babu K. S.
Barr Sandra M.
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