English

Large $R$-parity Violating Couplings and Grand Unification

High Energy Physics - Phenomenology 2014-11-17 v2

Abstract

We consider a possibility that RR-parity violating interactions of particles which do not involve the first generation have large (up to 1) coupling constants, Λ\Lambda. Such couplings, if exist, could have a number of phenomenological consequences: renormalization of bτb-\tau mass ratio, generation of ντ\nu_\tau mass in MeV region, {\em etc.}. In Grand Unified models, where BB- and LL-violating couplings appear simultaneously, the proton decay can be forbidden in virtue of hierarchical flavor structure of Λ.\Lambda. However, due to Cabibbo-Kobayashi-Maskawa mixing this decay is induced already in one-loop. Present experimental data give the upper bound Λ\ltap108\Lambda \ltap 10^{-8} (or λλ\ltap71016,|\lambda' \lambda''| \ltap 7\cdot 10^{-16}, on products of certain LL- and BB-violating coupling constants, in more general context). The bound can be avoided, if there is an asymmetry between the LL- and BB-violating couplings of usual matter fields. In the SU(5)SU(5) model the asymmetry can be related to the doublet-triplet splitting.

Keywords

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