Rare K-Decays as Crucial Tests for Unified Models with Gauged Baryon Number:

Abstract

In the grand-unified models based on SU(15) and SU(16) in which the quarks and leptons are un-unified at the intermediate stages, we show that $\mathrm{BR}(K_L\to \mu e)\le 10^{-14}$ and $\mathrm{BR}(K^{+}\to {\pi }^{+}\mu e)\le 10^{-14}$ despite the presence of leptoquark gauge bosons. Thus, the observation of these processes in the ongoing or upcoming experiments will rule out the models.

Comments: (7 pages, LATEX, including figures drawn by LATEX) DOE-ER40200-304 CPP-50