Rare Kaon Processes as a Probe of the Top-Quark Mass

Abstract

We study the $K_L-K_S$ mass difference and the $K_L\to {\mu }^{+}{\mu }^{-}$ decay rate in the Kobayashi-Maskawa model. If the matrix element $〈{\overline{K}}^0\left|{\left[\overline{s}{\gamma }_{\mu }\right(1-{\gamma }_5\left)d\right]}^2\right|{\overline{K}}^0〉$ is sufficiently small (e.g., as estimated in the Massachusetts Institute of Technology bag model), then a stringent upper bound on the top-quark mass can be obtained.