Large $R$-parity Violating Couplings and Grand Unification
Abstract
We consider a possibility that -parity violating interactions of particles which do not involve the first generation have large (up to 1) coupling constants, . Such couplings, if exist, could have a number of phenomenological consequences: renormalization of mass ratio, generation of mass in MeV region, {\em etc.}. In Grand Unified models, where - and -violating couplings appear simultaneously, the proton decay can be forbidden in virtue of hierarchical flavor structure of However, due to Cabibbo-Kobayashi-Maskawa mixing this decay is induced already in one-loop. Present experimental data give the upper bound (or on products of certain - and -violating coupling constants, in more general context). The bound can be avoided, if there is an asymmetry between the - and -violating couplings of usual matter fields. In the model the asymmetry can be related to the doublet-triplet splitting.
Cite
@article{arxiv.hep-ph/9506416,
title = {Large $R$-parity Violating Couplings and Grand Unification},
author = {Alexei Yu. Smirnov and Francesco Vissani},
journal= {arXiv preprint arXiv:hep-ph/9506416},
year = {2014}
}
Comments
Version published after revision. A discussion of the pattern of the sneutrino vacuum expectation values has been added