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We estimate B(K -> pi nu nubar) in the context of the Standard Model byfitting for lambda_t = Vtd x V*ts of the `kaon unitarity triangle' relation. Wefit data from epsilon_K, the CP-violating parameter describing K-mixing, anda_{psi K}, the CP-violating asymmetry in B -> J/psi K decays. Our estimate isindependent of the CKM matrix element Vcb and of the ratio of Bs to Bd mixingfrequencies. The measured value of B(K+ -> pi+ nu nubar) can be compared bothto this estimate and to predictions made from the ratio of B mixingfrequencies.Comment: 8 pages, including 6 figures. v3 includes an expanded discussion of  correlations between SM inputs to the lambda_t fit, clarifies the discussion  of the independence of this result from the ratio of B mixing frequencies,  includes minor updates to the values of SM input parameters, and includes  some new and some updated reference

Alternative technique for Standard Model estimation of the rare kaon decay branchings $$\left. {BR(K \to \pi \nu \bar \nu )} \right|_{SM} $$