English

With Grand Unification Signals in, Can Proton Decay be Far Behind?

High Energy Physics - Phenomenology 2017-08-23 v1

Abstract

It is noted that one is now in possession of a set of facts, which may be viewed as the matching pieces of a puzzle ; in that all of them can be resolved by just one idea - that is grand unification. These include : (i) the observed family-structure, (ii) quantization of electric charge, (iii) meeting of the three gauge couplings, (iv) neutrino oscillations; in particular the mass of ντ\nu_{\tau} suggested by SuperK), (v) the intricate pattern of the masses and mixings of the fermions, including the smallness of VcbV_{cb} and the largeness of θνμντosc\theta^{osc}_{\nu_{\mu}\nu_{\tau}}, and (vi) the need for BB-LL to implement baryogenesis (via leptogenesis). All these pieces fit beautifully together within a single puzzle board framed by supersymmetric unification, based on SO(10) or a string-unified G(224)-symmetry. The one and the most notable piece of the puzzle still missing, however, is proton decay. A concrete proposal is presented, within a predictive SO(10)/G(224)-framework, that successfully describes the masses and mixings of all fermions, including the neutrinos - with eight predictions, all in agreement with observation. An updated study of proton decay is carried out within this framework, which shows that a conservative upper limit on its lifetime is about (1/2-1)\times 10^34 yrs.

Keywords

Cite

@article{arxiv.hep-ph/0106082,
  title  = {With Grand Unification Signals in, Can Proton Decay be Far Behind?},
  author = {Jogesh C. Pati},
  journal= {arXiv preprint arXiv:hep-ph/0106082},
  year   = {2017}
}