Abstract

In the standard model of weak interactions the\(K^0 - \bar K^0 \) transition amplitude is the sum of three contributions: the box diagram, the double penguin and the dispersive terms. Recent data onB-meson decays is used to determine the magnitude of the box diagram contribution. When the hadronic matrix element of the box diagram is given byB ∼ 1.2, this contribution alone reproduces the observedKL-KS mass difference δm. The double penguin amplitude is shown to give a significant contribution to δm. A lower bound on thet-quark mass is obtained including the effect of the double penguin amplitude. The result is significantly lower than the result obtained using the box diagram alone.

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