Flavor Changing Yukawa Coupling in the Standard Model and Muon Polarization in KL-->mumu¯

The muon longitudinal polarization P/sub L/ in K/sub L/..--> mu..mu-bar decay is investigated in the standard model. The induced s-bardH vertex responsible for P/sub L/ turns out to be unexpectedly ''large.'' The measurement of P/sub L/ above approx.10/sup -3/ will, therefore, be a signal of the existence of a rather light Higgs boson (M/sub H/< or approx. =10 GeV). It is also shown that the mechanism of gauge-dependence cancellation between Higgs-boson-exchange and box diagrams works even in the standard model.